File:Fundamental Circle Packings (Better).png

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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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Author Harry Princeton

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  1. https://www.biglist-tilings.com/

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20 July 2019

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Date/TimeThumbnailDimensionsUserComment
current01:41, 25 October 2023Thumbnail for version as of 01:41, 25 October 2023676 × 750 (40 KB)Harry PrincetonBetter resolution and background change for readability…
15:16, 10 October 2019Thumbnail for version as of 15:16, 10 October 20195,120 × 6,400 (957 KB)Harry PrincetonAdded the skew quadrilateral, tie kite, isosceles trapezoid, and right trapezoid: the four demiregular VRPs.
14:17, 10 October 2019Thumbnail for version as of 14:17, 10 October 20195,120 × 4,800 (618 KB)Harry PrincetonChanged 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 2019Thumbnail for version as of 02:08, 21 July 20195,120 × 4,800 (705 KB)Harry PrincetonCross-wiki upload from en.wikipedia.org
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