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# Zome

A kit consisting of colored rods and slotted balls that can be used to construct three-dimensional configurations. The balls into which the rods are placed resemble an "expanded" small rhombicosidodecahedron, with the squares replaced by rectangles, as illustrated above. The expansion is chosen so that the resulting rectangles are golden rectangles.

For a solid zome unit with edge lengths 1 and (where is the golden ratio), the circumradius is

 (1)

the volume is

 (2)

and the surface area is

 (3)

In the zome kit, the rods come in four colors, and there are three lengths for each color, as summarized in the table below. Here, is the golden ratio.

 color lengths blue yellow red green

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## References

Hart, G. W. and Picciotto, H. "Zome Geometry: Hands-on Learning with Zome Models." http://www.georgehart.com/zomebook/zomebook.html.Raman, T. V. and Krishnamoorthy, M. S. "Visual Techniques for Computing Polyhedral Volumes." http://www.cs.cornell.edu/home/raman/publications/polyhedra/.Zome System. http://www.zometool.com/.

Zome

## Cite this as:

Weisstein, Eric W. "Zome." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Zome.html