File:Fundamental Circle Packings (Better).png
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[edit]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] |
Date | |
Source | Own work |
Author | Harry Princeton |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 01:41, 25 October 2023 | 676 × 750 (40 KB) | Harry Princeton (talk | contribs) | Better resolution and background change for readability… | |
15:16, 10 October 2019 | 5,120 × 6,400 (957 KB) | Harry Princeton (talk | contribs) | Added the skew quadrilateral, tie kite, isosceles trapezoid, and right trapezoid: the four demiregular VRPs. | ||
14:17, 10 October 2019 | 5,120 × 4,800 (618 KB) | Harry Princeton (talk | contribs) | Changed the color of the circles in the uniform circle packings from cyan to the colors of the corresponding VRPs (vertex regular planigons, or coregular polygons). This is in accordance and correspondence with <https://en.wikipedia.org/wiki/User:Harry_Princeton/Planigons_and_Dual_Uniform_Tilings> and <https://en.wikipedia.org/wiki/Planigon>. Moreover, the corresponding VRPs are shown next to the circle packing labels; and one circle of each packing is highlighted white, which corresponds to... | ||
02:08, 21 July 2019 | 5,120 × 4,800 (705 KB) | Harry Princeton (talk | contribs) | Cross-wiki upload from en.wikipedia.org |
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