Math Art
Square Trapezohedron

Square Trapezohedron

Square Trapezohedron is a convex polyhedron, with 10 vertices, 16 edges and 8 faces, symmetry group D4d of order 16.

Open Square Trapezohedron in the interactive viewer →

convex dipyramid prism-family

Properties

Vertices
10
Edges
16
Faces
8
Convex
yes
Density
1
Symmetry
D4d
Orbifold
2*4
Symmetry order
16
Dual
square-antiprism
Volume
{'value': 3.432502682163105, 'exact': 'sqrt(-256+256*sqrt(2))/3', 'source': 'pslq'}
Surface area
{'value': 12.967447237989797, 'exact': 'sqrt(-1280+1024*sqrt(2))', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': 'sqrt(21+7*sqrt(2))/7', 'value': 0.7941044877608179}]
Midradius
{'value': 1.0000000000000002, 'exact': '1', 'source': 'pslq'}

Dual

square-antiprism