perplexus.info :: Geometry : Icosahedron addressed

Icosahedron addressed (Posted on 2016-05-11)

A regular icosahedron is one of the five Platonic solids.
It has 20 faces, 30 edges and (how many?) vertices.

Derive the formulas for its area and volume.

No Solution Yet Submitted by Ady TZIDON

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Vertices, vertices

Comment 2 of 2 |

Euler's law: F + V = E + 2 for any non-self intersecting polyhedron.

For the icosahedron, 20 + V = 30 + 2

So, number of vertices, V = 12

(the easy part.)

Posted by JayDeeKay on 2016-05-11 17:38:05

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