Pentagonal triotegum

From Polytope Wiki
Jump to navigation Jump to search
Pentagonal triotegum
File:Pentagonal triotegum.png
Rank6
TypeNoble
Notation
Bowers style acronymPettit
Coxeter diagramm5o2m5o2m5o
Elements
Peta125 digonal trisphenoids
Tera375 tetragonal disphenoidal pyramids
Cells375 digonal disphenoids, 75 tetragonal disphenoids
Faces150 isosceles triangles, 125 triangles
Edges15+75
Vertices15
Vertex figurePentagonal duotegmatic tegum
Measures (based on pentagons of edge length 1)
Edge lengthsBase (15): 1
 Lacing (75):
Circumradius
Inradius
Central density1
Related polytopes
ArmyPettit
RegimentPettit
DualPentagonal trioprism
ConjugatePentagrammic triotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH2≀S3, order 6000
ConvexYes
NatureTame

The pentagonal triotegum or pettit is a noble triotegum that consists of 125 digonal trisphenoids and 15 vertices. 50 facets join at each vertex.

The ratio between the longest and shortest edges is 1: ≈ 1:1.20300.