Three Mathematical Sculptures for the Mathematikon
Inhaltsverzeichnis
Reference
Tom Verhoeff and Koos Verhoeff: Three Mathematical Sculptures for the Mathematikon. In: Bridges 2016, Pages 105–110.
DOI
Abstract
Three stainless steel sculptures, designed by Dutch mathematical artist Koos Verhoeff, were installed at the new Mathematikon building of Heidelberg University. Lobke consists of six conical segments connected into a single convoluted strip. One side is polished, the other side is matte (blasted), to emphasize the two-sided nature of the strip. The shape derives from an Euler cycle on the octahedron. Balancing Act is a figure-eight knot, made from 16 polished triangular beam segments, 4 longer and 12 shorter segments. As a freestanding object it balances on a single short segment. Each beam runs parallel to one of the four main diagonals of a cube. Hamilton Cycle on Football is a Hamilton cycle on the traditional football (soccer ball), constructed from 60 matte square beams. Mathematicians know the traditional football as a truncated icosahedron, consisting of 12 pentagons and 20 hexagons, giving rise to 60 vertices.
Extended Abstract
Bibtex
@inproceedings{bridges2016:105,
author = {Tom Verhoeff and Koos Verhoeff},
title = {Three Mathematical Sculptures for the Mathematikon},
pages = {105--110},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
year = {2016},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://de.evo-art.org/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}
}
Used References
[1] John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss. The Symmetries of Things. AK Peters, 2008.
[2] Foundation MathArt Koos Verhoeff (Stichting Wiskunst Koos Verhoeff). wiskunst.dse.nl
[3] Roestvrijstaalindustrie Geton, Veldhoven, Netherlands. URL: www.geton.nl/en
[4] Klaus Tschira (founder). Klaus Tschira Foundation. URL: www.klaus-tschira-stiftung.de
[5] Tom Verhoeff. “3D Turtle Geometry: Artwork, Theory, Program Equivalence and Symmetry”. Int. J. of Arts and Technology, 3(2/3):288–319 (2010).
[6] Tom Verhoeff, Koos Verhoeff. “The Mathematics of Mitering and Its Artful Application”, Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture, pp. 225–234, 2008. URL: archive. bridgesmathart.org/2008/bridges2008-225.html
[7] Tom Verhoeff, Koos Verhoeff. “Branching Miter Joints: Principles and Artwork”. In: George W. Hart, Reza Sarhangi (Eds.), Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture. Tessellations Publishing, pp.27–34, July 2010.
[8] Tom Verhoeff, Koos Verhoeff. “Lobke, and Other Constructions from Conical Segments”, Bridges Seoul: Mathematics, Music, Art, Architecture, Culture, pp. 309–316, 2014. URL: archive. bridgesmathart.org/2014/bridges2014-309.html
[9] Wikipedia. “Cubic Crystal System”, URL: en.wikipedia.org/wiki/Cubic_crystal_system
[10] Wikipedia. “Klaus Tschira”, URL: en.wikipedia.org/wiki/Klaus_Tschira
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-105.pdf
