# Petrial triangular duocomb

Petrial triangular duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
• {4,4∣3}π
• {6,4}4,3
Elements
Faces6 hexagonal-triangular coils
Edges18
Vertices9
Vertex figureSkew square, edge length ${\displaystyle {\sqrt {2}}}$, length 1 between opposite vertices
Petrie polygons9 squares
Related polytopes
ArmyTriddip
RegimentTriddip
Petrie dualTriangular duocomb
Convex hullTriangular duoprism
Abstract & topological properties
Flag count72
Euler characteristic-3
Schläfli type{6,4}
OrientableNo
Genus5
Properties
SymmetryA2≀S2, order 72
Flag orbits1
ConvexNo
Dimension vector(2,2,3)

The Petrial triangular duocomb is a regular skew polyhedron in 4-dimensional Euclidean space.

## Vertex coordinates

The triangular duocomb shares its vertices and edges with the triangular duoprism, so its coordinates are the same as those of that.

## Related polytopes

Since the Petrial triangular duocomb has rational coordinates its apeir, the Petrial apeir triangular duocomb, is discrete.