Math Art
Pentagonal Gyrocupolarotunda

Pentagonal Gyrocupolarotunda

Pentagonal Gyrocupolarotunda is a Johnson solid, with 25 vertices, 50 edges and 27 faces, symmetry group C5v of order 10.

Open Pentagonal Gyrocupolarotunda in the interactive viewer →

convex johnson

Properties

Vertices
25
Edges
50
Faces
27
Convex
yes
Density
1
Symmetry
C5v
Orbifold
*55
Symmetry order
10
Volume
{'value': 9.24180828645788, 'exact': '5*(11+5*sqrt(5))/12', 'source': 'pslq'}
Surface area
{'value': 23.538532332506033, 'exact': None}
Inradius
[{'face': '{4}', 'exact': '(45+29*sqrt(5))/100', 'value': 1.0984597134749385}]