Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork

Taneli Luotoniemi
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 17–24 Regular Papers


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.