Dodecagonal disphenoid

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Dodecagonal disphenoid
Rank5
TypeNoble
Notation
Bowers style acronymTwadow
Elements
Tera24 dodecagonal scalenes
Cells144 tetragonal disphenoids, 24 dodecagonal pyramids
Faces288 isosceles triangles, 2 dodecagons
Edges24+144
Vertices24
Vertex figureDodecagonal scalene
Measures (base edge length 1, height h)
Edge lengthsEdges of base dodecagons (24): 1
 Lacing edges (144):
Circumradius
Central density1
Related polytopes
ArmyTwadow
RegimentTwadow
DualDodecagonal disphenoid
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryI2(12)▲S2, order 1152
ConvexYes
NatureTame

The dodecagonal disphenoid or twadow is a convex noble polyteron with 24 dodecagonal scalenes as facets. 14 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.