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Summary
DescriptionFundamental Circle Packings (Better).png
English: 1-Uniform Circle Packings: circles are colored by the corresponding VRPs (vertex regular planigons, or coregular polygons). This is in accordance and correspondence with Circle Ambo Packings and Planigons. Moreover, the corresponding VRPs are shown next to the circle packing labels. Finally, one circle of each packing is shaded white, which corresponds to the VRP in the exact orientation.
There is a homeomorphism between k-dual-uniform tilings and k-uniform circle packings, as all VRPs are cocyclic with common indiameter each of the side lengths of the regular polygons in k-uniform tilings. This is realized in Circle Ambo Packings and by Paul Hofmann's Dodecagram Construction.[1]
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