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Regular skew apeirohedron information


The mucube is a regular skew apeirohedron.

In geometry, a regular skew apeirohedron is an infinite regular skew polyhedron. They have either skew regular faces or skew regular vertex figures.

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Regular skew apeirohedron

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In geometry, a regular skew apeirohedron is an infinite regular skew polyhedron. They have either skew regular faces or skew regular vertex figures. In...

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Skew apeirohedron

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In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend...

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Skew polygon

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Quadrilateral § Skew quadrilaterals Regular skew polyhedron Skew apeirohedron (infinite skew polyhedron) Skew lines Coxeter 1973, §1.1 Regular polygons; "If...

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List of regular polytopes

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finitely many times. In addition to the planar regular polygons there are infinitely many regular skew polygons. Skew polygons can be created via the blending...

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List of mathematical shapes

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honeycomb Tesseractic honeycomb honeycomb Apeirotope Apeirogon Apeirohedron Regular skew polyhedron Abstract polytope 11-cell 57-cell Convex polygon Concave...

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Cubic honeycomb

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specify how many cells exist around the edge. It is related to a skew apeirohedron with vertex configuration 4.4.6.6, with the octagons and some of the...

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Bitruncated cubic honeycomb

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tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone, this dual has identical disphenoid...

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Complex polytope

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vertices leaving ordinary 2-edges. Three of them are related to the finite regular skew polyhedron in R 4 {\displaystyle \mathbb {R} ^{4}} . Coxeter defines...

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Toroidal polyhedron

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self-intersecting and topologically self-dual. Projective polyhedron Skew apeirohedron (infinite skew polyhedron) Spherical polyhedron Toroidal graph Whiteley (1979);...

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Quarter cubic honeycomb

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Publication, 1995, ISBN 978-0-471-01003-6 [2] (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform...

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