Dodecagonal disphenoid

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Dodecagonal disphenoid
12-ds.png
Rank5
TypeNoble
SpaceSpherical
Bowers style acronymTwadow
Info
SymmetryI2(12)≀S2×A1+, order 1152
ArmyTwadow
RegimentTwadow
Elements
Vertex figureDodecagonal scalene
Tera24 dodecagonal scalenes
Cells144 tetragonal disphenoids, 24 dodecagonal pyramids
Faces288 isosceles triangles, 2 dodecagons
Edges24+144
Vertices24
Measures (base edge length 1, height h)
Edge lengthsEdges of base dodecagons (24): 1
 Lacing edges (144):
Circumradius
Central density1
Euler characteristic2
Related polytopes
DualDodecagonal disphenoid
Properties
ConvexYes
OrientableYes
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.