
Overview

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There are 5 different platonic solids, and they are defined as a solid whose surface can be created using a regular polygon (polygon with all sides and angles equal).

Tetrahedron

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Created using 4 identical equilateral triangles. Because it is created using triangles, with the least number of joins
(edges) this is the strongest structure that can be created.

Cube

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Created using 6 identical squares.
See Also: Cube Calculator

Octahedron

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Created using 8 identical equilateral triangles.

Dodecahedron

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A twelve faced solid created using identical pentagons.

Icosahedron

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Created using 20 equilateral triangles.

Properties

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Solid

No of
Faces

Area =
Edge Length *

Volume =
Edge Length *

Circumsphere =
Edge Length *

Insphere =
Edge Length *

Dihedral
Angle

Tetrahedron

4

1.732 05

0.117 851

0.612 372

0.204 124

70.533 33

Cube

6

6.000 00

1.000 000

0.866 025

0.500 000

90.000 00

Octahedron

8

3.464 10

0.471 405

0.707 107

0.408 248

109.467

Dodecahedron

12

20.6458

7.663 12

1.401 26

1.113 52

116.565

Icosahedron

20

8.660 25

2.181 70

0.951 057

0.755 761

138.190

