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Build a Crystal The Rhombic Dodecahedron

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Presentation on theme: "Build a Crystal The Rhombic Dodecahedron"— Presentation transcript:

1 Build a Crystal The Rhombic Dodecahedron
NCTM, Al Mendle

2 A rhombic dodecahedron
is a polyhedron with twelve congruent rhombic faces. Each face is proportional to the dimensions shown in the diagram.

3 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.

4 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.

5 Some Useful Websites http://www.answers.com/topic/rhombic-dodecahedron


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