Trigonic great dodecahedron faceting

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Trigonic great dodecahedron faceting
Rank3
TypeOrbiform
Notation
Bowers style acronymTigdaf
Elements
Faces6 triangles, 6 pentagons
Edges6+6+12
Vertices6+6
Vertex figures6 butterflies, edge lengths 1 and (1+5)/2
 6 crossed isosceles trapezoids, edge lengths 1, (1+5)/2, (1+5)/2, (1+5)/2
Measures (edge length 1)
Circumradius
Dihedral angles3-5 #1:
 5-5:
 3-5 #2:
Number of external pieces30
Level of complexity16
Related polytopes
ArmyIke
ConjugateTrigonic small stellated dodecahedron faceting
Convex hullIcosahedron
Convex coreObtuse golden rhombohedron, edge length 1
Abstract & topological properties
Flag count96
Euler characteristic0
OrientableNo
Genus2
Properties
Symmetry(G2×A1)/2, order 12
ConvexNo
NatureTame

The trigonic great dodecahedron faceting or tigdaf, also known as the accordion, is an orbiform polyhedron and an edge faceting of the icosahedron. Its faces are 6 triangles and 6 pentagons.

It appears as a cell of the small trigonal swirlprism.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the icosahedron.

Gallery[edit | edit source]

External links[edit | edit source]