# Lepidocelliprismatotruncatododecateron

Lepidocelliprismatotruncatododecateron
Rank5
TypeUniform
Notation
Bowers style acronymLacaptid
Elements
Tera20 hexagonal duoprisms, 12 rhombiprismic dispentachora, 6 great prismatodecachora
Cells120+120 hexagonal prisms, 30 cubohemioctahedra, 60 truncated octahedra
Faces90+180+360 squares, 120+240 hexagons
Edges360+720
Vertices360
Vertex figureBowtie scalene, base edge lengths 2 and 3, remaining edge lengths 2 (5) and 3 (4)
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {5}}\approx 2.23608}$
Diteral anglesRipdip–hip–hiddip: ${\displaystyle \arccos \left(-{\frac {\sqrt {5}}{5}}\right)\approx 116.56505^{\circ }}$
Ripdip–choe–ripdip: ${\displaystyle \arccos \left(-{\frac {1}{5}}\right)\approx 101.53696^{\circ }}$
Ripdip–toe–gippid: ${\displaystyle \arccos \left({\frac {1}{5}}\right)\approx 78.46304^{\circ }}$
Gippid–hip–hiddip: ${\displaystyle \arccos \left({\frac {\sqrt {5}}{5}}\right)\approx 63.43495^{\circ }}$
Related polytopes
ArmyCaptid
RegimentCaptid
ConjugateNone
Abstract & topological properties
Flag count57600
OrientableNo
Properties
SymmetryA5×2, order 1440\
ConvexNo
NatureTame

The lepidocelliprismatotruncatododecateron, or lacaptid, is a nonconvex uniform polyteron. It consists of 12 rhombiprismic dispentachora, 20 hexagonal duoprisms, and 6 central great prismatodecachora. 2 rhombiprismic dispentachora, 2 hexagonal duoprisms, and 2 great prismatodecachora join at each vertex.

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the celliprismatotruncatododecateron.