- In mathematics, a
fibrifold is (roughly) a
fiber space whose fibers and base
spaces are orbifolds. They were
introduced by John
Horton Conway, Olaf Delgado...
- of the
space groups have
several different fibrifolds ****ociated to them, so have
several different fibrifold symbols.
Coxeter notation Spatial and point...
-
International Union of
Crystallography Point Groups and
Bravais Lattices Full list of 230
crystallographic space groups Conway et al. on
fibrifold notation...
- Weaire–Phelan
structure Space group Fibrifold notation Coxeter notation Pm3n (223) 2o [[4,3,4]+]...
-
isosceles triangle {3}
Vertex figure (tetragonal disphenoid)
Space group Fibrifold notation Coxeter notation Im3m (229) 8o:2 [[4,3,4]]
Coxeter group C ~...
-
diagrams Cell
Isosceles square pyramid Faces Triangle square Space group Fibrifold notation Pm3m (221) 4−:2
Coxeter group C ~ 3 {\displaystyle {\tilde {C}}_{3}}...
- type {4,3} Face type
square {4}
Vertex figure octahedron Space group Fibrifold notation Pm3m (221) 4−:2
Coxeter group C ~ 3 {\displaystyle {\tilde {C}}_{3}}...
- groups,
ordered by
their Euler characteristic are:
Mutation of
orbifolds Fibrifold notation - an
extension of
orbifold notation for 3d
space groups Symmetries...
-
diagram Cell Ten-of-diamonds
Vertex figures dodecahedron tetrahedron Space Fibrifold Coxeter I3 (204) 8−o [[4,3+,4]] Dual
Alternated bitruncated cubic honeycomb...
- C3
honeycombs Space group Fibrifold Extended symmetry Extended diagram Order Honeycombs Pm3m (221) 4−:2 [4,3,4] ×1 1, 2, 3, 4, 5, 6 Fm3m (225) 2−:2 [1+...
