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  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Wed Aug 10, 2016 5:26 am   Subject: Quasicrystals
http://i709.photobucket.com/albums/ww94/SteveGarrison/14.jpg

This may or may not be assembled in the proper sequence. There are many ways to assemble the 4 types of polyhedra without gaps. Appare ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Tue Aug 09, 2016 7:23 pm   Subject: Quasicrystals
With all four polyhedra in memories, I started with a rhombohedron and augmented a Bilinski dodecahedron to 3 faces...
http://i709.photobucket.com/albums/ww94/SteveGarrison/3.jpghttp://i709.photobuck ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Tue Aug 09, 2016 4:50 am   Subject: Quasicrystals
The trick is to choose the right slices through the 3D object. It is easiest to explain for the cube.

Pick one vertex and identify the three adjacent ones. Cut round these three to remove a triangu ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Mon Aug 08, 2016 2:26 am   Subject: Quasicrystals
Yes, both the rhombohedra I describe have this property - the one with the golden rhombs lengthways, the other with them sideways.

Are you any good at geometry and basic algebra? It is reasonably e ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Sat Aug 06, 2016 10:36 pm   Subject: Quasicrystals
There are two kinds of rhombohedron, depending on whether you stretch or squash the cube along a diagonal. Once the two rhombohedra are scaled to the same edge length, all your figures can be assemble ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Fri Aug 05, 2016 10:53 pm   Subject: Quasicrystals
Update. I realized I could use non-uniform scaling to stretch a cube along a 3-fold axis by a factor of 1.851229520935533 to make the square faces into golden rhombi for a Golden Rhombohedron. I arr ...
  Topic: Quasicrystals
SteveG

Replies: 11
Views: 12921

PostForum: Polyhedron Models   Posted: Fri Aug 05, 2016 7:51 pm   Subject: Quasicrystals
Hello everyone. I'm trying to figure out how to make 2 more polyhedrons in addition to the rhombic triacontahedron and rhombic icosahedron. These 4 different shapes are augmented together in various ...
  Topic: Wood Polyhedrons
SteveG

Replies: 3
Views: 12596

PostForum: Polyhedron Models   Posted: Thu Oct 13, 2011 10:08 pm   Subject: Wood Polyhedrons
I have not tried gluing the 1/4 inch pine plywood, but I have glued a test joint from 1/2 inch birch plywood, and it was plenty strong using original Titebond glue on the beveled edges. I think that ...
  Topic: Wood Polyhedrons
SteveG

Replies: 3
Views: 12596

PostForum: Polyhedron Models   Posted: Sun Oct 09, 2011 6:38 pm   Subject: Wood Polyhedrons
I came up with a good way to make polyhedrons out of wood and wanted to show them here. I have a few spheres made from hardwood, and the flat-faced models are 1/4" plywood that has been taped to ...
 
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