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

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

Petrie polygon Quadrilateral § Skew quadrilaterals Regular skew polyhedron Skew apeirohedron (infinite skew polyhedron) Skew lines Coxeter 1973, §1.1 Regular...

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...

defined with three corner and the cube center. A related uniform skew apeirohedron exists with the same vertex arrangement, but triangles and square...

2-apeirotope or apeirogon is an infinite polygon, a 3-apeirotope or apeirohedron is an infinite polyhedron, etc. There are two main geometric classes...

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

The regular skew apeirohedron {6,4|4} contains the hexagons of this honeycomb....

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

The subset of hexagonal faces of this honeycomb contains a regular skew apeirohedron {6,6|3}. Four sets of parallel planes of trihexagonal tilings exist...

Order-5 dodecahedral honeycomb Icosahedral honeycomb Apeirogonal prism Apeirohedron Bicupola Cupola Bifrustum Boerdijk–Coxeter helix Császár polyhedron Flexible...

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