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2018•Pollack PeriodicaOpen access

Special hypercube models and 3d-tessellations based on five cubes joining the vertices of the platonic dodecahedron

László Vörös

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Abstract

The 3-dimensional model of any k-dimensional cube can be constructed by starting k edges whose Minkowski sum can be called zonotope. Combined 2<j

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The 3-dimensional model of any k-dimensional cube can be constructed by starting k edges whose Minkowski sum can be called zonotope. Combined 2<j

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Available abstract

The 3-dimensional model of any k-dimensional cube can be constructed by starting k edges whose Minkowski sum can be called zonotope. Combined 2<j

Key concepts: Dodecahedron, Cube (algebra), Hypercube, Unit cube, Minkowski addition, Combinatorics, Minkowski space, Tessellation (computer graphics)

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Special hypercube models and 3d-tessellations based on five cubes joining the vertices of the platonic dodecahedron — Research Paper | ScholarLens