Transparent equilateral polyhedron with 60 heptagons

The polyhedron consists of 12 regular pentagons, 60 equilateral triangles and 60 equilateral heptagons, that look almost regular. All the pentagons ly completely inside the polyhedron and therefore the model was built with transparent heptagons.
Pictures can be found at http://www.tunnissen.eu/polyh/heptagons/index.html
At sourceforge a share a progrom that shows similar polyhedra: http://sourceforge.net/projects/polyhwitheqlhep/

You can deform this polyhedron into a Great Icosahedron as follows:
Extend the heptagons such that the triangles and the pentagons inside dissappear. The heptagons are kites now.
The kites can be grouped into 12 times 5 kites that almost lie in one plane. You can twist the kites around that pair of vertices that were formed above the old triangles. Twist them such that every group of 5 kites lie exactly in one plane.
What is left is a Great Icosahedron.

Category:

Howto & Style

Tags:

• Polyhedra
• polyhedron
• heptagons

[CurrieBhoy1888]

what exactly is it????

[marcelteun]

Look at the info part: it is a model of a self intersecting polyhedron.

[sataviah93]

Can you post that other heptagonal globe with 60 heptagons,12 pentagons and 30 rhombs? I think that is quite unique: Love your work!!!

[marcelteun]

Done,.. and thanks!

[meyousheit]

hey, i really can't see any heptagons in there...

r u sure that there are heptagons?

help me see them please...

[marcelteun]

Hmm, it is a bit difficult to point this out from the video. Anyway all the heptagons are yellow (and partly transparent). Perhaps it is easier from a picture. If you follow the link in the info you find a picture. On the left, just below the middle, connected to a (darker) blue (regular) triangle, there is an example of a heptagon. Try to follow the edges into the model to the top left black (regular) pentagon. Hope that helps! (Otherwise you can try the sourceforge python script.)

[Myboyprince5]

Wat the wat dose it do

[WildStar2002]

Wow, really beautiful!

[paintedxlie]

im studying for an upcomingn test... oh damn...

[meyousheit]

Well, i still can't see them ;) lol i don't really care... it's just beautiful! it's amazing! i mean, i bet you had to work for days to accomplish that...! kudos!

[AdamLore]

Cool.

I like your cube compounds, too!