Apeir pentagonal-pentagrammic coil

From Polytope Wiki
Jump to navigation Jump to search
Apeir pentagonal-pentagrammic coil
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{10/3,5}π#{10,5/2}π
Elements
Faceszigzags
Edges
Vertices
Vertex figurePentagonal-pentagrammic coil
Petrie polygonsdecagonal-decagrammic coil
Related polytopes
Petrie dualPetrial apeir pentagonal-pentagrammic coil
ConjugateApeir pentagonal-pentagrammic coil
Abstract & topological properties
Schläfli type{∞,5}
Properties
ConvexNo
Dimension vector(0,2,2)

The apeir pentagonal-pentagrammic coil is a regular skew apeirohedron in 4-dimensional Euclidean space. It can be constructed as the apeir of the pentagonal-pentagrammic coil or as the blend of the apeir pentagon with its conjugate the apeir pentagram. It is notable in that it is the blend of two dense polytopes but it is not itself dense.

Vertex coordinates[edit | edit source]

The vertex coordinates of the apeir pentagonal-pentagrammic coil are the same as those of its Petrial.