# Dodecahedron Made of Rhombic Triacontahedra

In the last post, I showed that five rhombic triacontahedra can be stuck together to form a pentagonal ring. The next logical step is shown here: using such pentagonal rings to construct an entire dodecahedron made of rhombic triacontahedra.

Software credit: see http://www.software3d.com/stella.php.

### RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.

## 2 thoughts on “Dodecahedron Made of Rhombic Triacontahedra”

1. David says:

Hi Robert
This One Is SPECIAL.
Is that 5 pentagonal rings for a total of 25?
300 surfaces – 18 = 292 surfaces ??

Like

1. Thanks again! There are 20 rhombic triacontahedra in this figure. Each normally has 30 faces each, but only 27 are uncovered here, so there are (20)(27) = 540 faces exposed in the whole thing.

Like