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This is a great piece of origami -- simple to make, and rock solid. It is a good one upon which to learn how to use these modules. There are a couple ... These will fit together to make a dodecahedron with each pair of composites on opposite ends of the dodecahedron. (This is related to inscribing a cube in a dodecahedron).
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How to Make your own Rhombic Dodecahedron ... I made a paper model of the rhombic dodecahedron, which helped me to visualize the images on this page. I wouldn't use the recipe I described above for making an actual model. To make a paper model, you need to start with 12 identical paper rhombuses.
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When extending the colored face planes to make a stellation, different colorings bring out different aspects of the structure. One or the other of the two methods will look better depending on the way in which the extended ... Be sure and notice how opposite faces are twisted relative to one another in the chiral examples.
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Hilbert's 3rd Problem and Dehn Invariants. How to tell whether two polyhedra can be dissected into each other. See also Walter Neumann's paper connecting ... Six-regular toroid. Mike Paterson asks whether it is possible to make a torus-shaped polyhedron in which exactly six equilateral triangles meet at each vertex.
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