Digonal-triangular triswirltegum

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Digonal-triangular triswirltegum
Rank4
TypeIsotopic
Elements
Cells18 12-vertex enneahedra
Faces18 isosceles triangles, 18+18 kites, 9 rhombi, 18 mirror-symmetric hexagons
Edges6+36+36+36
Vertices6+9+18+18
Vertex figure18+18 phyllic disphenoids, 9 rhombic disphenoids, 6 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualDigonal-triangular triswirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(G2×I2(9))+/3, order 36
ConvexYes
NatureTame

The digonal-triangular triswirltegum, also known as the hexagonal funk, is a convex isochoric polychoron and member of he duoprismatic swirltegum family with 18 identical cells. It is the simplest nontrivial duoprismatic swirltegum.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 1 rhombus, 4 kites, and 2 isosceles triangles for faces.

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