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Records |
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Author |
Gijbels, R. |
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Title |
Development of a Fourier transform laser microprobe mass spectrometer with external ion source |
Type |
A3 Journal article |
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Year |
1993 |
Publication |
ICR/Ion trap newsletter |
Abbreviated Journal |
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Volume |
30 |
Issue |
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Pages |
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Keywords |
A3 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT) |
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0000-00-00 |
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no |
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Call Number |
UA @ lucian @ c:irua:6163 |
Serial |
681 |
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Author |
Gijbels, R. |
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Title |
The many faces of TOF-SIMS for the characterization of solid (sub)surfaces |
Type |
P3 Proceeding |
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Year |
2003 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
101-104 |
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Keywords |
P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT) |
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Publisher |
Indian Society for Mass Spectrometry |
Place of Publication |
Mumbai |
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Publication Date |
0000-00-00 |
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UA library record |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ lucian @ c:irua:51977 |
Serial |
1943 |
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Permanent link to this record |
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Author |
Gijbels, R. |
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Title |
Oppervlakte en in-diepte analyse via SIMS, SNMS en GDMS |
Type |
A1 Journal article |
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Year |
1992 |
Publication |
Physicalia magazine |
Abbreviated Journal |
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Volume |
14 |
Issue |
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Pages |
49-74 |
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Keywords |
A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT) |
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Place of Publication |
Gent |
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Wos |
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Publication Date |
0000-00-00 |
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Series Volume |
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Edition |
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ISSN |
0770-0520 |
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UA library record |
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Call Number |
UA @ lucian @ c:irua:4200 |
Serial |
2469 |
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Permanent link to this record |
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Author |
Gielis, J.; Verhulst, R.; Caratelli, D.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
On means, polynomials and special functions |
Type |
A1 Journal article |
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Year |
2014 |
Publication |
The teaching of mathematics |
Abbreviated Journal |
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Volume |
17 |
Issue |
1 |
Pages |
1-20 |
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Keywords |
A1 Journal article; Educational sciences; Sustainable Energy, Air and Water Technology (DuEL) |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1451-4966; 2406-1077 |
ISBN |
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Additional Links |
UA library record |
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Open Access |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:128660 |
Serial |
8327 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
About “bulky” links generated by generalized Möbius-Listing bodies GML2n |
Type |
A2 Journal article |
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Year |
2013 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
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Volume |
193 |
Issue |
3 |
Pages |
449-460 |
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In this paper, we consider the bulky knots and bulky links, which appear after cutting of a Generalized MöbiusListing GMLn2 body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized MöbiusListing surfaces GMLn2 situated in it. The aim of this report is to investigate the number and geometric structure of the independent objects that appear after such a cutting process of GMLn2 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known classification for the standard knots and links. |
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Publication Date |
2013-08-03 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1072-3374; 1573-8795 |
ISBN |
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Additional Links |
UA library record |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:110953 |
Serial |
7404 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
Generalized Möbius-Listing bodies and the heart |
Type |
A3 Journal article |
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Year |
2023 |
Publication |
Sn – 2247-689x |
Abbreviated Journal |
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Volume |
13 |
Issue |
2 |
Pages |
58-70 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. The results can be applied in a wide range of fields in the natural science, and here we propose how they can serve as a model for the heart and the circulatory system. |
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Wos |
http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Additional Links |
UA library record; http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:200773 |
Serial |
9043 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I. |
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Title |
The general case of cutting of Generalized Möbius-Listing surfaces and bodies |
Type |
A1 Journal article |
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Year |
2020 |
Publication |
4Open |
Abbreviated Journal |
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Volume |
3 |
Issue |
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Pages |
7-48 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Transformations, which provide a unifying description of geometrical shapes, as a generalization of the Pythagorean Theorem. The resulting geometrical objects can be used for modeling a wide range of natural shapes and phenomena. The cutting of GML bodies and surfaces, with the Möbius strip as one special case, is related to the field of knots and links, and classifications were obtained for GML with cross sectional symmetry of 2, 3, 4, 5 and 6. The general case of cutting GML bodies and surfaces, in particular the number of ways of cutting, could be solved by reducing the 3D problem to planar geometry. This also unveiled a range of connections with topology, combinatorics, elasticity theory and theoretical physics. |
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Wos |
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Publication Date |
2020-08-31 |
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Series Editor |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
2557-0250 |
ISBN |
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Additional Links |
UA library record |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174471 |
Serial |
7992 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I. |
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Title |
The Mӧbius phenomenon in Generalized Mӧbius-Listing bodies with cross sections of odd and even polygons |
Type |
A3 Journal article |
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Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
34 |
Issue |
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Pages |
23-26 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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UA library record |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174474 |
Serial |
8257 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I. |
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Title |
A note on Generalized Möbius-Listing Bodies |
Type |
P1 Proceeding |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
31-39
T2 - Proceedings of the 1st International Sy |
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Keywords |
P1 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin |
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Publication Date |
2023-11-29 |
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Abbreviated Series Title |
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Edition |
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ISSN |
978-90-833839-0-3 |
ISBN |
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Additional Links |
UA library record |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:201047 |
Serial |
9063 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkelidze, I.; Ricci, P.E. |
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Title |
About “bulky” links, generated by generalized Möbius-Listing bodies |
Type |
H3 Book chapter |
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Year |
2011 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
115-128
T2 - Proceedings of the International Conf |
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Keywords |
H3 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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ISBN |
978-9941-0-3727-6 |
Additional Links |
UA library record |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:97753 |
Serial |
7403 |
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Permanent link to this record |
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Author |
Gielis, J.; Shi, P.; Caratelli, D. |
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Title |
Universal equations : a fresh perspective |
Type |
A1 Journal article |
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Year |
2022 |
Publication |
Growth and Form |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
A uniform description of natural shapes and phenomena is an important goal in science. Such description should check some basic principles, related to 1) the complexity of the model, 2) how well its fits real objects, phenomena and data, and 3) ia direct connection with optimization principles and the calculus of variations. In this article, we present nine principles, three for each group, and we compare some models with a claim to universality. It is also shown that Gielis Transformations and power laws have a common origin in conic sections |
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UA library record |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189317 |
Serial |
7224 |
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Permanent link to this record |
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Author |
Gielis, J.; Shi, P.; Beirinckx, B.; Caratelli, D.; Ricci, P.E. |
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Title |
Lamé-Gielis curves in biology and geometry |
Type |
P3 Proceeding |
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Year |
2021 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Keywords |
P3 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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UA library record |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:178828 |
Serial |
8145 |
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Permanent link to this record |
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Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
The Möbius phenomenon in Generalized Möbius-Listing surfaces and bodies, and Arnold's Cat phenomenon |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Advanced Studies : Euro-Tbilisi Mathematical Journal |
Abbreviated Journal |
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Volume |
14 |
Issue |
4 |
Pages |
17-35 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Möbius bands have been studied extensively, mainly in topology. Generalized Möbius-Listing surfaces and bodies providing a full geometrical generalization, is a quite new field, motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. Our research is motivated by this reduction of complexity. In the study of cutting Generalized Möbius-Listing bodies with polygons as cross section, the conditions under which a single body results, displaying the Möbius phenomenon of a one-sided body, have been determined for even and odd polygons. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin. The Möbius phenomenon is important, since the process of cutting (or separation of zones in a GML body in general) then results in a single body, not in different, intertwined domains. In all previous works it was assumed that the cross section of the GML bodies is constant, but the main result of this paper is that it is sufficient that only one cross section on the whole GML structure meets the conditions for the Möbius phenomenon to occur. Several examples are given to illustrate this. |
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000774655100002 |
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UA library record; WoS full record |
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Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:183081 |
Serial |
8258 |
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Permanent link to this record |
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Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics |
Type |
ME3 Book as editor |
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Year |
2017 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
185 p. |
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Keywords |
ME3 Book as editor; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
2017-04-20 |
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Edition |
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ISBN |
978-94-6239-260-1; 978-94-6239-261-8 |
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UA library record |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:144553 |
Serial |
8263 |
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Permanent link to this record |
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Author |
Gielis, J.; Potters, G. |
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Title |
Proceedings of the 9th World Bamboo Congress, Antwerp 2012 |
Type |
P3 Proceeding |
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Year |
2012 |
Publication |
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Abbreviated Journal |
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Volume |
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Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
|
ISBN |
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Additional Links |
UA library record |
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Impact Factor |
|
Times cited |
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Open Access |
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|
Notes |
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Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:97756 |
Serial |
8413 |
|
Permanent link to this record |
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|
|
Author |
Gielis, J.; Natalini, P.; Ricci, P.E. |
|
|
Title |
A note about generalized forms of the Gielis formula |
Type |
H1 Book chapter |
|
Year |
2017 |
Publication |
|
Abbreviated Journal |
|
|
|
Volume |
2 |
Issue |
|
Pages |
107-116
T2 - Modeling in mathematics : proceedings |
|
|
Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
We generalize the Gielis Superformula by extending the R. Chacon approach, but avoiding the use of Jacobi elliptic functions. The obtained results are extended to the three-dimensional case. Several new shapes are derived by using the computer algebra system Mathematica(C). |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
|
Wos |
000442076400008 |
Publication Date |
2017-04-20 |
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|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-94-6239-260-1; 978-94-6239-261-8; 2543-0300; 978-94-6239-260-1 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
|
Times cited |
|
Open Access |
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|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:144550 |
Serial |
8318 |
|
Permanent link to this record |
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Author |
Gielis, J.; Grigolia, R. |
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|
Title |
Lamé curves and Rvachev's R-functions |
Type |
A3 Journal article |
|
Year |
2022 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
|
|
Volume |
37 |
Issue |
|
Pages |
1-4 |
|
|
Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
Gielis transformations are a generalization of Lame curves. To combine domains, we can make use of the natural alliance between Lame's work and Rvachev's R-functions. A logical next step is the extension to n-valued logic dening dierent partitions. |
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Address |
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Corporate Author |
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Publisher |
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Place of Publication |
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Language |
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Wos |
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Publication Date |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
|
ISBN |
|
Additional Links |
UA library record |
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|
Impact Factor |
|
Times cited |
|
Open Access |
|
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|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:189316 |
Serial |
7178 |
|
Permanent link to this record |
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|
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Author |
Gielis, J.; Ding, Y.; Shi, P. |
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Title |
Towards a geometrical theory of morphology and morphogenesis |
Type |
P3 Proceeding |
|
Year |
2016 |
Publication |
|
Abbreviated Journal |
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Volume |
|
Issue |
|
Pages |
|
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Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
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Wos |
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Publication Date |
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Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
|
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:144548 |
Serial |
8677 |
|
Permanent link to this record |
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|
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Author |
Gielis, J.; Caratelli, D.; Tavkhelidze, I. |
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|
Title |
The general case of cutting GML bodies : the geometrical solution |
Type |
H1 Book chapter |
|
Year |
2020 |
Publication |
|
Abbreviated Journal |
|
|
|
Volume |
|
Issue |
|
Pages |
397-411
T2 - Differential and difference equations |
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|
Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
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Editor |
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Language |
|
Wos |
|
Publication Date |
2020-10-21 |
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Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-3-030-56322-6 |
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:174477 |
Serial |
7991 |
|
Permanent link to this record |
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|
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Author |
Gielis, J.; Caratelli, D.; Tavkelidze, I.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
|
|
Title |
Bulky knots and links generated by cutting generalized Mobius-Listing bodies and applications in the natural sciences |
Type |
H2 Book chapter |
|
Year |
2013 |
Publication |
|
Abbreviated Journal |
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|
|
Volume |
|
Issue |
|
Pages |
167-183
T2 - Math Art Summit : Koninklijke Vlaamse |
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Keywords |
H2 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
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Wos |
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Publication Date |
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Series Editor |
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Series Title |
|
Abbreviated Series Title |
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|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-90-6569-119-4 |
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:110955 |
Serial |
7569 |
|
Permanent link to this record |
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|
|
Author |
Gielis, J.; Caratelli, D.; Shi, P.; Ricci, P.E. |
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|
Title |
A note on spirals and curvature |
Type |
A1 Journal article |
|
Year |
2020 |
Publication |
Growth and form |
Abbreviated Journal |
|
|
|
Volume |
1 |
Issue |
1 |
Pages |
1-8 |
|
|
Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
Starting from logarithmic, sinusoidal and power spirals, it is shown how these spirals are connected directly with Chebyshev polynomials, Lamé curves, with allometry and Antonelli-metrics in Finsler geometry. Curvature is a crucial concept in geometry both for closed curves and equiangular spirals, and allowed Dillen to give a general definition of spirals. Many natural shapes can be described as a combination of one of two basic shapes in nature—circle and spiral—with Gielis transformations. Using this idea, shape description itself is used to develop a novel approach to anisotropic curvature in nature. Various examples are discussed, including fusion in flowers and its connection to the recently described pseudo-Chebyshev functions. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
|
Wos |
|
Publication Date |
2020-02-23 |
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|
Series Editor |
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Series Title |
|
Abbreviated Series Title |
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Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
|
Additional Links |
UA library record |
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|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:167061 |
Serial |
6569 |
|
Permanent link to this record |
|
|
|
|
Author |
Gielis, J.; Caratelli, D.; Fougerolle, Y.; Ricci, P.E.; Tavkelidze, I.; Gerats, T. |
|
|
Title |
Universal natural shapes : from unifying shape description to simple methods for shape analysis and boundary value problems |
Type |
A1 Journal article |
|
Year |
2012 |
Publication |
PLoS ONE |
Abbreviated Journal |
|
|
|
Volume |
7 |
Issue |
9 |
Pages |
e29324-11 |
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|
Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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|
Abstract |
Gielis curves and surfaces can describe a wide range of natural shapes and they have been used in various studies in biology and physics as descriptive tool. This has stimulated the generalization of widely used computational methods. Here we show that proper normalization of the Levenberg-Marquardt algorithm allows for efficient and robust reconstruction of Gielis curves, including self-intersecting and asymmetric curves, without increasing the overall complexity of the algorithm. Then, we show how complex curves of k-type can be constructed and how solutions to the Dirichlet problem for the Laplace equation on these complex domains can be derived using a semi-Fourier method. In all three methods, descriptive and computational power and efficiency is obtained in a surprisingly simple way. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
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Editor |
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Language |
|
Wos |
000309517500001 |
Publication Date |
2012-09-30 |
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Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
1932-6203 |
ISBN |
|
Additional Links |
UA library record; WoS full record; WoS citing articles |
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|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:102202 |
Serial |
8711 |
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Permanent link to this record |
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Author |
Gielis, J.; Caratelli, D.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
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|
Title |
A biogeometrical model for corolla fusion in Asclepiad flowers |
Type |
H1 Book chapter |
|
Year |
2017 |
Publication |
|
Abbreviated Journal |
|
|
|
Volume |
2 |
Issue |
|
Pages |
83-105
T2 - Modeling in mathematics : proceedings |
|
|
Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
The molecular genetics of flower development have been studied extensively for more than two decades. Fusion of organs and the tendency to oligomery, important characteristics of flower evolution, so far have remained fairly elusive. We present a geometric model for shape and fusion in the corolla of Asclepiads. Examples demonstrate how fusion of petals creates stable centers, a prerequisite for the formation of complex pollination structures via congenital and postgenital fusion events, with the formation of de novo organs, specific to Asclepiads. The development of the corolla reduces to simple inequalities from the MATHS-BOX. The formation of stable centers and of bell and tubular shapes in flowers are immediate and logical consequences of the shape. Our model shows that any study on flowers, especially in evo-devo perspective should be performed within the wider framework of polymery and oligomery and of fusion and synorganization. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
|
Editor |
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|
|
Language |
|
Wos |
000442076400007 |
Publication Date |
2017-04-20 |
|
|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-94-6239-260-1; 978-94-6239-261-8; 2543-0300; 978-94-6239-260-1 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:144551 |
Serial |
7561 |
|
Permanent link to this record |
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|
Author |
Gielis, J.; Caratelli, D.; de Jong van Coevorden, M.; Ricci, P.E. |
|
|
Title |
The common descent of biological shape description and special functions |
Type |
H1 Book chapter |
|
Year |
2018 |
Publication |
|
Abbreviated Journal |
|
|
|
Volume |
230 |
Issue |
|
Pages |
119-131
T2 - Differential and difference equations |
|
|
Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
Gielis transformations, with their origin in botany, are used to define square waves and trigonometric functions of higher order. They are rewritten in terms of Chebyshev polynomials. The origin of both, a uniform descriptor and the origin of orthogonal polynomials, can be traced back to a letter of Guido Grandi to Leibniz in 1713 on the mathematical description of the shape of flowers. In this way geometrical description and analytical tools are seamlessly combined. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
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Editor |
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|
|
Language |
|
Wos |
000451375900010 |
Publication Date |
2018-05-08 |
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|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-3-319-75646-2; 2194-1009; 978-3-319-75647-9; 978-3-319-75646-2 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
|
Times cited |
|
Open Access |
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|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:150949 |
Serial |
7685 |
|
Permanent link to this record |
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Author |
Gielis, J.; Brasili, S. |
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|
Title |
The apeirogon and dual numbers |
Type |
A1 Journal article |
|
Year |
2021 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
|
|
|
Volume |
32 |
Issue |
2 |
Pages |
157-160 |
|
|
Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
|
|
Abstract |
The richness, diversity, connection, depth and pleasure of studying symmetry continue to open doors. Here we report a connection between Coxeter's Apeirogon and the geometry associated with pictorial space, parabolic rotation and dual numbers. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
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Editor |
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Language |
|
Wos |
000670122100011 |
Publication Date |
2021-07-02 |
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|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
0865-4824 |
ISBN |
|
Additional Links |
UA library record; WoS full record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
Not_Open_Access |
|
|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:179759 |
Serial |
8652 |
|
Permanent link to this record |
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Author |
Gielis, J.; Brasili, S. |
|
|
Title |
Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022) |
Type |
ME3 Book as editor |
|
Year |
2023 |
Publication |
|
Abbreviated Journal |
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|
Volume |
|
Issue |
|
Pages |
xi, 175 p. |
|
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Keywords |
ME3 Book as editor; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
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Editor |
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Language |
|
Wos |
|
Publication Date |
2023-11-29 |
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|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-90-833839-0-3 |
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
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|
|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:201049 |
Serial |
9077 |
|
Permanent link to this record |
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|
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Author |
Gielis, J. |
|
|
Title |
Double helix of phyllotaxis : analysis of the geometric model of plant morphogenesis, by Boris Rozin |
Type |
Review |
|
Year |
2021 |
Publication |
Quarterly Review Of Biology |
Abbreviated Journal |
Q Rev Biol |
|
|
Volume |
96 |
Issue |
2 |
Pages |
139-140 |
|
|
Keywords |
Review; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
|
Editor |
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|
Language |
|
Wos |
|
Publication Date |
2021-05-19 |
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|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
0033-5770; 1539-7718 |
ISBN |
|
Additional Links |
UA library record |
|
|
Impact Factor |
4.25 |
Times cited |
|
Open Access |
Not_Open_Access |
|
|
Notes |
|
Approved |
Most recent IF: 4.25 |
|
|
Call Number |
UA @ admin @ c:irua:178829 |
Serial |
7824 |
|
Permanent link to this record |
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Author |
Gielis, J. |
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Title |
Er bestaan geen absurde, irrationele, onregelmatige of onderling niet-onmeetbare meetkundige getallen |
Type |
A2 Journal article |
|
Year |
2021 |
Publication |
Wiskunde en onderwijs |
Abbreviated Journal |
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|
|
Volume |
47 |
Issue |
188 |
Pages |
23-33 |
|
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
|
Wos |
|
Publication Date |
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Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
2032-0485 |
ISBN |
|
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
Most recent IF: NA |
|
|
Call Number |
UA @ admin @ c:irua:183083 |
Serial |
7934 |
|
Permanent link to this record |
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|
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Author |
Gielis, J. |
|
|
Title |
The geometrical beauty of plants |
Type |
MA3 Book as author |
|
Year |
2017 |
Publication |
|
Abbreviated Journal |
|
|
|
Volume |
|
Issue |
|
Pages |
229 p. |
|
|
Keywords |
MA3 Book as author; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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|
Abstract |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
|
Place of Publication |
|
Editor |
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|
|
Language |
|
Wos |
|
Publication Date |
2017-06-01 |
|
|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
978-94-6239-150-5; 978-94-6239-151-2 |
Additional Links |
UA library record |
|
|
Impact Factor |
|
Times cited |
|
Open Access |
|
|
|
Notes |
|
Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:144554 |
Serial |
7997 |
|
Permanent link to this record |
|
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|
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Author |
Gielis, J. |
|
|
Title |
Phi-bonacci in Ancient Greece |
Type |
A1 Journal article |
|
Year |
2021 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
|
|
|
Volume |
32 |
Issue |
1 |
Pages |
25-40 |
|
|
Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Fibonacci numbers are a very popular subject in mathematics, culture and science. A major open question is why the ancient Greeks overlooked this series, while they were very familiar with the golden mean and division in extreme and mean ratio. Furthermore, they could compute the square root of five to a high degree of precision using Theon 's ladder. This fact is based on tables built with side and diagonal numbers, and it is a simple and incredibly efficient method to compute roots of integers, though it is little known even now among most of the experts. The biologist D 'Arcy Wentworth Thompson showed that the same method could be used to generate the Fibonacci series using a simple shift in the computation of the tables. He argues, quite convincingly, that the ancient Greeks could not have overlooked this. Actually, the same method can be used to generate all possible regular phyllotaxis patterns. |
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000643822700002 |
Publication Date |
2021-03-30 |
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0865-4824 |
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UA library record; WoS full record |
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OpenAccess |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:178322 |
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8376 |
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