Math Art
Tetrahedron

Tetrahedron

Tetrahedron is a Platonic solid, with 4 vertices, 6 edges and 4 faces, symmetry group Td of order 24.

Open Tetrahedron in the interactive viewer →

convex deltahedron platonic regular uniform

Properties

Vertices
4
Edges
6
Faces
4
Convex
yes
Density
1
Symmetry
Td
Orbifold
*332
Symmetry order
24
Dual
tetrahedron
Volume
{'value': 0.11785113019775781, 'exact': 'sqrt(2)/12', 'source': 'pslq'}
Surface area
{'value': 1.7320508075688763, 'exact': 'sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 0.6123724356957945, 'exact': 'sqrt(6)/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(6)/12', 'value': 0.20412414523193162}]
Midradius
{'value': 0.3535533905932738, 'exact': 'sqrt(2)/4', 'source': 'pslq'}

Dual

tetrahedron