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Build a Crystal The Rhombic Dodecahedron
NCTM, Al Mendle
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A rhombic dodecahedron
is a polyhedron with twelve congruent rhombic faces. Each face is proportional to the dimensions shown in the diagram.
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One way to visualize how a rhombic dodecahedron is formed is to:
make a 3-dimensional “cross” with seven cubes. Connect the centers of outside cubes Another way to generate a rhombic dodecahedron is to: attach a square based pyramid to each face of a cube. The height of the pyramid should be the length of the edge of the cube.
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Could bees be geometers?
The hexagonal cells of a honeycomb are when looked at in 3-dimensions are filling space in way way that is very close to a tiling of rhombic dodecahedra.
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Some Useful Websites http://www.answers.com/topic/rhombic-dodecahedron
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