matematicas visuales visual math

Regular dodecahedron

Points of coordinates:

vértices dodecaedro regular

are the 20 vertices of a regular dodecahedron of edge 2.

Where Phi is the golden ratio we've seen in the golden rectangle.

Phi - golden ratio

We can calculate the distance between pairs of adjacents vertices to convince ourselves.

This is an interesting step in understanding properties of this polyhedron, for example, the volume of a regular dodecahedron (new Flash version).

One eighth of a dodecahedron of side 2 has the same volume as a dodecahedron of side 1.

The vertical control allows us to separate the parts where we are decomposing the dodecahedron.

We can rotate the dodecaedron by clicking and dragging.



We can build this figure using zome:



Zome - An eighth of the dodecahedron Zome - An eighth of the dodecahedron

and with it we can study the volume of a regular dodecahedron