Information om | Engelska ordet APEIROGONAL
APEIROGONAL
Antal bokstäver
11
Är palindrom
Nej
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Exempel på hur man kan använda APEIROGONAL i en mening
- When these horocycles are circumscribed by apeirogons they tile the hyperbolic plane with an order-3 apeirogonal tiling.
- This form arises in the representation of some degenerate polytopes, a notable example being the apeirogonal hosohedron, the limit of a general spherical hosohedron at infinity, composed of an infinite number of digons meeting at two antipodal points at infinity.
- An alternation operation can create an apeirogonal antiprism composed of three triangles and one apeirogon at each vertex.
- The rectified and cantellated forms are duplicated, and as two times infinity is also infinity, the truncated and omnitruncated forms are also duplicated, therefore reducing the number of unique forms to four: the apeirogonal tiling, the apeirogonal hosohedron, the apeirogonal prism, and the apeirogonal antiprism.
- In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tessellation (gap-free filling with repeated shapes) of the plane consisting of two apeirogons.
- The rectified and cantellated forms are duplicated, and as two times infinity is also infinity, the truncated and omnitruncated forms are also duplicated, therefore reducing the number of unique forms to four: the apeirogonal tiling, the apeirogonal hosohedron, the apeirogonal prism, and the apeirogonal antiprism.
- The order-5 apeirogonal tiling can be uniformly colored with 5 colored apeirogons around each vertex, and coxeter diagram: , except ultraparallel branches on the diagonals.
- The order-6 apeirogonal tiling can be uniformly colored with 6 colored apeirogons around each vertex, and coxeter diagram: , except ultraparallel branches on the diagonals.
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