❴10,10/3∣5❵

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{10,10/3∣5}
Rank3
Dimension3
TypeRegular
SpaceHyperbolic
Notation
Schläfli symbol{10,10/3∣5}
Elements
FacesN  decagons
Edges5N 
VerticesN 
Vertex figureSkew decagram, edge length
HolesPentagons
Measures (edge length 1)
Circumradius
Related polytopes
ArmySpih
RegimentSpih
Dual{10/3,10∣5}
φ 2 Great dodecahedron
φ 3 {4,10∣3}
φ 4 Icosahedron
Convex hullSmall prismatoicosahedral honeycomb
Abstract & topological properties
Flag count20N 
Schläfli type{10,10}
OrientableYes
Genus
Properties
Symmetry[[3,5,3]]
ConvexNo
Dimension vector(2,1,2)

The {10,10/3∣5} is a compact regular skew apeirohedron in 3-dimensional hyperbolic space.