Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork

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Abstract

This paper presents kinetic models based on the 4-dimensional regular polytopes. The sequential ‘flattening’ is realized through the use of hyperbolic patchwork surfaces, which portray the bitruncated versions of the polychora. As pedagogical tools, these models offer a hands-on experience of 4D geometry.
Original languageEnglish
Title of host publicationProceedings of Bridges 2017
Subtitle of host publicationMathematics, Art, Music, Architecture, Education, Culture
EditorsDavid Swart, Carlo H. Séquin, Kristóf Fenyvesi
Place of PublicationPhoenix, Arizona
PublisherTessellations Publishing
Pages17-24
Number of pages8
ISBN (Print)978-1-938664-22-9
Publication statusPublished - 2017
MoE publication typeA4 Article in a conference publication
EventBridges Waterloo: Mathematics, Art, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada
Duration: 27 Jul 201731 Jul 2017
Conference number: 20
http://bridgesmathart.org/bridges-2017/

Conference

ConferenceBridges Waterloo
CountryCanada
CityWaterloo
Period27/07/201731/07/2017
Internet address

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