Gnomonic Projection of the 600-cell

Date started: 2019
Leads: Taneli Luotoniemi


The four-dimensional polytopes have been portrayed with various projections, technologies and media. Here we implement the gnomonic projection of the 600-cell (looking towards the center of a cell) as a physical stick model. It is a configuration of 72 sticks with 6 different colors, tied together at the crossings. Each plane and each vertex of the configuration has only one representative of each color. The resulting model offers an elegant view of the hypersolid, and illustrates its connection to projective geometry.


Stick model – a gnomonic projection of the 600-cell looking towards the center of a cell


  • Hilbert and Cohn-Vossen: Geometry and the Imagination (1932)

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