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Polyhedra, tessellations, and more.

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

Posted on 3 December 2017 by RobertLovesPi

20 at 5 and 60 at 5 and 20 at 6 and 60 at 7 242 faces mostly quads Convex hull b starball All quads 240 faces Augmented Disdyakistriaconta Convex hull with 12 reg icosagons decagons enneagons bowtie trapezoids stellated several times Dual of Convex hullashgdfasf dual of polyhedron with 12 pentadecagons Dual of Unnamed Dual Faceted Dodeca duAL OF FIRST STELLATION OF ICOSA Faceted ICOSIDodecaHEDRAL POLYHEDRON Stellated Convex hull 2 stellated Dual of Convex hullashgdfasf Stellated Poly 4 Stellated Poly 3.gif Zonohedrified Poly.gif Unnamed Dual nc.gif Zonohedrified Icosa.gif

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

2 thoughts on “A Miscellany of Polyhedra with Icosidodecahedral Symmetry”

Ashok on 4 December 2017 at 07:04 said:

Dear Robert,
I love your creations and around Christmas time each year wonder if it possible to make any of the patterns out of thin bamboo rods and transparent paper.
Is there anyway That I can generate the portion of the net that is to be replicated?
Thanks
Ashok

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- RobertLovesPi on 4 December 2017 at 16:49 said:
  
  I recommend buying Stella4d, the program I use to make these .gifs. One of the many things it can do is produce nets for polyhedra. You can try it before you buy it at http://www.software3d.com/Stella.php.
  
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2 thoughts on “A Miscellany of Polyhedra with Icosidodecahedral Symmetry”

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