Circle Packing
The square tiling can be used as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 4 other circles in the packing (kissing number). The packing density is π/4=78.54% coverage. There are 4 uniform colorings of the circle packings.
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Famous quotes containing the words circle and/or packing:
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Where now this night is day,
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Making full circle of our banishment,
Amazed meet;”
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“He had a wonderful talent for packing thought close, and rendering it portable.”
—Thomas Babington Macaulay (1800–1859)