Dodecagonal duotruncatoprism

Dodecagonal duotruncatoprism
(OFF file)
Rank	4
Type	Isogonal
Notation
Bowers style acronym	Twadtep
Elements
Cells	144 tetragonal disphenoids, 288 wedges, 144 rectangular trapezoprisms, 24 didodecagonal prisms
Faces	576 isosceles triangles, 576 isosceles trapezoids, 288+288 rectangles, 24 didodecagons
Edges	288+288+576+576
Vertices	576
Vertex figure	Mirror-symmetric bi-apiculated tetrahedron
Measures (based on icositetragon edge length 1 and same radius ratio as uniform-derived dodecagonal duoexpandoprism)
Edge lengths	Edges of icositetragons (288+288): 1
	Edges of pseudo-dodecagons (576): ${\frac {4+{\sqrt {2}}+{\sqrt {6}}}{2}}\approx 3.93185$
	Lacing edges (576): ${\sqrt {8+3{\sqrt {6}}+{\sqrt {98+40{\sqrt {6}}}}}}\approx 5.41736$
Circumradius	${\sqrt {\frac {38+25{\sqrt {2}}+20{\sqrt {3}}+15{\sqrt {6}}}{2}}}\approx 8.50702$
Central density	1
Related polytopes
Army	Twadtep
Regiment	Twadtep
Dual	Dodecagonal duotruncatotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(12)≀S2, order 1152
Convex	Yes
Nature	Tame

The dodecagonal duotruncatoprism is a convex isogonal polychoron and the eleventh member of the duotruncatoprism family. It consists of 24 didodecagonal prisms, 144 rectangular trapezoprisms, 288 wedges, and 144 tetragonal disphenoids. 2 didodecagonal duoprisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didodecagonal duoprisms whose didodecagonal prisms have a smaller circumradius than their dodecagonal prisms. However, it cannot be made uniform.