# Repulsive Force Polyhedra

perspective view

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###### Digital Preview

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Repulsive Force Polyhedra Duals

Repulsive Force Polyhedra are obtained by putting a certain number of points in a sphere and making them repulse each other: they stabilize in a certain position where each point is the vertex of a polyhedra. Here I represented the dual of such polyhedron that is each vertex is replaced by a face, for 8, 9, 10, 17, and 32 points. This gives, in my opinion, a more aesthetical result.

Moreover, these shapes are the underlying polyhedra behing the following truncated sphere dice:
Alt D8, 4-fold D10D9, D17, D32.

#### Dimensions

IN: 3.78 w x 3.894 d x 1.523 h
CM: 9.602 w x 9.89 d x 3.868 h

Designer

Magic says:
@AshtarBalynestry Oh, strange. This was to discuss the numbering. Please drop me an e-mail at themagicshop(at)free(dot)fr
@Magic I don't have an "inbox" item, just "Notifications, Feed, Orders, Models, Public Profile, Favorites & Wishlist, Settings, Sign Out".

Designer

Magic says:
@AshtarBalynestry When logged at the top right corner of the window there is a menu (at the right of the cart) with an "inbox" item.
@Magic Not entirely sure how to access my messages...

Designer

Magic says:
@AshtarBalynestry Private Message sent.
@Magic That is pretty much exactly what I thought; having 6 faces on each face of a cube, like in ppoz's dice, is probably the best arrangement possible. Now to have it marked and printed... I've decided on numbering it from 0 to 35.

Designer

Magic says:
@AshtarBalynestry Sorry for the delay. You can check the result here: https://www.shapeways.com/model/2707178/ This die is also based on carving 6 faces on each face of a cube. The angle between 2 faces (measured from the center of the polyhedron) has been maximized to 34,2°. There is also a render of the related spherical die.
@Magic I would like a polyhedral die numbered 0-35 preferably... I intend to package 36-sided dice with a gamebook I’m developing, and I want to compare ppoz’s cubic shape with whatever comes out of your algorithm in order to see what would be the optimal arrangement of 36 faces in a die. Thanks for your response.

Designer

Magic says:
@AshtarBalynestry: Yes sure. But my colleagues @mctrivia and @ppoz have designed D36 dice based on having 6 faces per face of a cube (placed as the 6 dots of number 6 of a standard D6). You can check those links, for instance: - https://www.shapeways.com/model/1122143/blank-d36.html - https://www.shapeways.com/model/1885399/d36-truncated-standard-numbers.html If this is not exactly what you are looking for, I can try to do some research by applying my own algorythm. Are you looking for a polyhedron or a sphere die, and do you want it blank or numbered? Thanks, Magic.
@Magic: Would it be possible for you to make a repulsive force d36?

• ##### Metallic Plastic

Grey nylon plastic with a subtle metallic sparkle (formerly Alumide.)

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