Here is the solution of the puzzle of the Stewart toroid, together with many other deltahedra. Click over the image to see more figures.
Showing posts with label toroidal polyhedron. Show all posts
Showing posts with label toroidal polyhedron. Show all posts
Wednesday, March 28, 2012
Wednesday, February 29, 2012
PUZZLE: TOROIDAL POLYHEDRA
With 24 flexible diamonds, you will be able to construct this famous triangulation of the torus surface, due to Bonnie Stewart in 1970. This is the smallest triangulation of the torus made with flat equilateral triangles.
With flexible diamond pieces you can also construct the 8 convex deltahedra http://www.ac-noumea.nc/maths/polyhedr/p_delta_.htm as well as many beaitiful non convex deltahedra http://www.ac-noumea.nc/maths/polyhedr/index2_.htm, and of course many other curved three-dimensional figures, which are not possible with plastic or wood pieces.
The adventure of flexible deltahedra with 3D Polyfelt just started. We will publish more pictures here very soon.
This figure is a chain of 8 octahedra, and has 48 triangles in total. You can find more information about this toroidal polyhedron in wikipedia.
With flexible diamond pieces you can also construct the 8 convex deltahedra http://www.ac-noumea.nc/maths/polyhedr/p_delta_.htm as well as many beaitiful non convex deltahedra http://www.ac-noumea.nc/maths/polyhedr/index2_.htm, and of course many other curved three-dimensional figures, which are not possible with plastic or wood pieces.
The adventure of flexible deltahedra with 3D Polyfelt just started. We will publish more pictures here very soon.
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