Platonic solids

Name
Tetraedron
Hexahedron (Cube)
Octahedron
Dodecahedron
Icosahedron
Kép
Tetraedron
Hexahedron (Cube)
Octahedron
Dodecahedron
Icosahedron
Háló
Tetraedron net
Hexahedron (Cube) net
Octahedron net
Dodecahedron net
Icosahedron net
Faces
4
6
8
12
20
Face type
equilateral triangle
squere
equilateral triangle
equilateral triangle
equilateral triangle
Duality
tetrahedron
octahedron
hexahedron
icosahedron
dodecahedron
Edges
6
12
12
30
30
Vertices
4
8
6
20
12
Edges from vertex
3
3
4
3
5
Number of diagonals
0
4
3
100
36
Dihedral angle
≈70°31'44''
90°
≈109°28'16''
≈116°33'56''
≈138°11'23''
Surface area
3a2
6a2
23a2
325+105a2
53a2
Volume
2a312
a3
2a33
(15+75)a34
(15+55)a312
Circumradiu
6a4
3a2
3a2
3(1+5)a4
10+25a4
Inradiu
6a12
a2
6a6
1225+11510a
42+18512a
Midradius
2a4
2a2
a2
(5+3)a4
(1+5)a4
Keywords: Platonic solids, also called the regular solids or regular polyhedra