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arXiv · 2210.16722

Representation of Geometric Objects by Color

Yusuke Imai
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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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Yusuke Imai. 2022-10-30. Representation of Geometric Objects by Color. https://arxiv.org/abs/2210.16722

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