Math Art
Pentagonal Pyramid

Pentagonal Pyramid

Pentagonal Pyramid is a Johnson solid, with 6 vertices, 10 edges and 6 faces, symmetry group C5v of order 10.

Open Pentagonal Pyramid in the interactive viewer →

convex johnson

Properties

Vertices
6
Edges
10
Faces
6
Convex
yes
Density
1
Symmetry
C5v
Orbifold
*55
Symmetry order
10
Volume
{'value': 0.30150283239582476, 'exact': '(5+sqrt(5))/24', 'source': 'pslq'}
Surface area
{'value': 3.8855409100500635, 'exact': None}
Inradius
[{'face': '{3}', 'exact': 'sqrt(90+30*sqrt(5))/36', 'value': 0.3481454828903278}, {'face': '{5}', 'exact': 'sqrt(50-10*sqrt(5))/60', 'value': 0.087621852019856}]