Representation of Geometric Objects by Color

2022/10/30 by Imai, Yusuke
#97G40 #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2210.16722

Abstract

By introducing various actions involving color to geometrical objects, we represent a cube and simplex in four or fewer dimensions, the geometrical net of a cube and simplex in five or fewer dimensions, hyperprisms, truncated polytopes, stellated polytopes, and fractals such as Cantor dust and Menger sponge, and propose the "four-dimensional" Menger sponge whose volume is infinite.

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