Dodecahedron Made of Rhombic Triacontahedra

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.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. 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.
Image | This entry was posted in Mathematics and tagged , , , , , , . Bookmark the permalink.

2 Responses to 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

    • 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

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s