Math Art
Pentagonal Orthobirotunda

Pentagonal Orthobirotunda

Pentagonal Orthobirotunda is a Johnson solid, with 30 vertices, 60 edges and 32 faces, symmetry group D5h of order 20.

Open Pentagonal Orthobirotunda in the interactive viewer →

convex johnson

Properties

Vertices
30
Edges
60
Faces
32
Convex
yes
Density
1
Symmetry
D5h
Orbifold
*225
Symmetry order
20
Volume
{'value': 13.835525936249377, 'exact': None}
Surface area
{'value': 29.305982844911963, 'exact': None}
Circumradius
{'value': 1.6180339887498947, 'exact': '(1+sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42+18*sqrt(5))/6', 'value': 1.511522628152341}, {'face': '{5}', 'exact': 'sqrt(25+10*sqrt(5))/5', 'value': 1.3763819204711731}]
Midradius
{'value': 1.5388417685876263, 'exact': 'sqrt(5+2*sqrt(5))/2', 'source': 'pslq'}