paradox

Tangles and Paradox

Index of topics:

Selected Paradoxical Drawings
Forming Tangles and Tangle Notations
Knot tiles and knot tilings
Converting Tangles to Paradoxes
Primitives and Tapestries of Paradox
Related topics
Additional references

Selected Paradoxical Drawings (various authors)

Explanation	Explanation Link MWM Graphics	Link/Explanation


Link	Cat Deity: Link and Explanation	Link Explanation Link


Link	Welcome to the Pipeworks	Foot


Abstraction: Link Explanation	Fire of Hephaestus (1975-2016) Link Explanation	Flower (1973? - 2016) Link Explanation

Forming Tangles and Tangle Notations

	Drawing Regular Graphs http://cs.sru.edu/~ddailey/tangles/TangleDrawing.svg
	Animated drawing of tangles. Drawing four-regular Graphs (tangles) http://cs.sru.edu/~ddailey/tangles/TangleDrawing1.svg
	https://ello.co/ddailey/post/hzokhzodcsorwfkjfjdoyw and http://cs.sru.edu/~ddailey/tangles/TangleDrawing3.svg and (story with links) https://ello.co/ddailey/post/xwsushuzb93pbwfwgpaqfg and http://cs.sru.edu/~ddailey/tangles/TangleDrawing.svg
	BasicTangles http://cs.sru.edu/~ddailey/tangles/BasicTangles.svg https://ello.co/ddailey/post/A8uFJlY0MGAPom08-kw70g
	https://ello.co/ddailey/post/OTgTi1Dqfpl9W_8GKcVaew http://cs.sru.edu/~ddailey/paradox/TanglesE1.svg
	https://ello.co/ddailey/post/Qhzy2lCKbkzbSl6mIpsemw http://cs.sru.edu/~ddailey/paradox/TanglesE2.svg
	https://ello.co/ddailey/post/UMhp8MqALvu7YBfiEp9MkA http://cs.sru.edu/~ddailey/paradox/TanglesE3.svg
	https://ello.co/ddailey/post/cbqDsprl15zyMloJ52DkCg http://cs.sru.edu/~ddailey/paradox/TanglesE4.svg
	https://ello.co/ddailey/post/LWj6o9OnguAOneFq5ztFbw http://cs.sru.edu/~ddailey/tangles/transform8to8A.svg and https://ello.co/ddailey/post/uvruyxd_wiezxgtlhcuyrq and http://cs.sru.edu/~ddailey/tangles/tangleAnimStrokeAndPath.svg
	https://ello.co/ddailey/post/s1dgzharyirqarfz0fuiig and http://cs.sru.edu/%7Eddailey/canterbury/knot2.svg and http://cs.sru.edu/~ddailey/svg/tanglecar.svg and http://cs.sru.edu/~ddailey/svg/squig1.svg
	https://ello.co/ddailey/post/FB6wF3nOvyafszVsHxsL_A Another periodic series of Tangles http://cs.sru.edu/~ddailey/tangles/OS12345.svg also https://ello.co/ddailey/post/ha6lae86bzibimtrvmivuw and http://cs.sru.edu/~ddailey/tangles/oneTangledNotation.svg
	https://ello.co/ddailey/post/Jflp3QBXbFb8MXuYy3f7QQ Roots of Tangles http://cs.sru.edu/~ddailey/tangles/tangles1.svg [https://ello.co/ddailey?start_timestamp=2015-12-12]
	https://ello.co/ddailey/post/jcqhtoop0jmrjhpclmyaug and http://cs.sru.edu/~ddailey/tangles/TangleDrawing5.svg
	https://ello.co/ddailey/post/MMVmNWXfqfIH9rQHQ4voJg Basic Loops http://cs.sru.edu/~ddailey/tangles/basicLoops.svg
	Applied Tangles http://cs.sru.edu/~ddailey/canterbury/knot2.svg Venn diagrams on five sets
	https://ello.co/ddailey/post/crg4c5fh-sdd0kclua3wqq and http://cs.sru.edu/~ddailey/tangles/TangleDrawing4.svg
	https://ello.co/ddailey/post/vc4qvxtk5co8ggckcgkzug and http://cs.sru.edu/~ddailey/tangles/basicLoops4.svg

Knot tiles, knot tilings, and weaves

	http://cs.sru.edu/~ddailey/tiling/SystematicKnotsS.svg Systematic Knots Also here and here and prototyle and Pulse{blood,bile, phlegm} [https://ello.co/ddailey?start_timestamp=2015-08-10]
	https://ello.co/ddailey/post/s9_iCFosVb26uYS3-kUfqA changing knots Actual animated GIF file http://cs.sru.edu/~ddailey/tiling/AskKnot.svg http://cs.sru.edu/~ddailey/tiling/KnotsFollow.svg (3 cars) [https://ello.co/ddailey?start_timestamp=2015-08-27]
	https://ello.co/ddailey/post/Y7qBkhbkwSr1nnU_ffEySA http://srufaculty.sru.edu/david.dailey/svg/tribraids9.svg from SVGOpen 2008
	https://ello.co/ddailey/post/K7L2Ud0nKxmYV50An7T3QQ http://cs.sru.edu/~ddailey/tiling/EulerFoam3.svg
	http://srufaculty.sru.edu/david.dailey/javascript/traverse.html Wallpaper from messages with tangle alphabets (circa 1999)
	http://srufaculty.sru.edu/david.dailey/svg/gradientweave.svg
	Weaving pictures with arbitrary weaves http://cs.sru.edu/~ddailey/weave/weaver0.htm http://granite.sru.edu/~ddailey/weave/weaver1.htm

Knot and tangle traversal

	http://cs.sru.edu/~ddailey/canterbury/knot2.svg
	http://cs.sru.edu/~ddailey/canterbury/rings.svg
	https://ello.co/ddailey/post/svrwnvcaimzgzin7e5hx3q and http://cs.sru.edu/~ddailey/tangles/drawingcurve7.svg
	https://ello.co/ddailey/post/reprz6aca54l1fkxzxwcrg and http://cs.sru.edu/~ddailey/tangles/drawingcurve.svg
	https://ello.co/ddailey/post/_f5pnm2pnnealscgtdi-nq http://cs.sru.edu/~ddailey/tangles/AnimTangleStroke.svg and https://ello.co/ddailey/post/njehg970lvz3tqzkevd-tg http://cs.sru.edu/~ddailey/tangles/SimpleStrokingOfTangle1.svg (tortoise and hare)

Converting Tangles to Paradoxes

	https://ello.co/ddailey/post/z_zXmFuYBmruwJtU5ODp3Q http://cs.sru.edu/~ddailey/paradox/TanglesE5.svg
	https://ello.co/ddailey/post/ytUERkybISdfVMMqsVmlWg http://cs.sru.edu/~ddailey/tangles/knotscolor2.svg
	Link
	Link
	Link
	https://ello.co/ddailey/post/Z5v7fTKbj4aslKOVXsOQnQ http://cs.sru.edu/~ddailey/paradox/tangles6.svg and https://ello.co/ddailey/post/glgy-9c3rr7w0d8bfazo0q and http://cs.sru.edu/~ddailey/tangles/tangledox.svg
	Link Explanation
	https://ello.co/ddailey/post/AruOaL7VD3UyaONZ6Tvyhw tangle AND paradox (many links) http://cs.sru.edu/~ddailey/ello/paradox/tangleANDparadox.html
	https://ello.co/ddailey/post/b8oxehs38hyfjadsyvfbla and http://cs.sru.edu/%7Eddailey/tangles/pentatanglesS.svg

Primitives and Tapestries of Paradox

	https://ello.co/ddailey/post/QW4a4J6p5Uvt-ksqM4NNqw Alphabet of Paradox http://cs.sru.edu/~ddailey/paradox/paradox8a.svg [https://ello.co/ddailey?start_timestamp=2015-11-12]
	https://ello.co/ddailey/post/0ZXhYx8xtnQi0KdJYqdDmg Alphabets for Paradox http://cs.sru.edu/~ddailey/paradox/paradoxesCount2.svg
	https://ello.co/ddailey/post/F7icJH9iXbyGZ1PjDtX1Xw Tapestry of Paradox http://cs.sru.edu/~ddailey/paradox/PTapestry3.svg [https://ello.co/ddailey?start_timestamp=2015-11-01]
	https://ello.co/ddailey/post/QoNqyS9XQyqhSnX-plJ1-g Paradoxes from Tangles (with links) http://cs.sru.edu/~ddailey/paradox/Paradox2a.svg
	https://ello.co/ddailey/post/q8EqiNyzYhQUbKLFHA9g2g Paradox Tiles http://cs.sru.edu/~ddailey/paradox/family8Clear.svg
	https://ello.co/ddailey/post/LUIC1c7uCLxhpn5Quw2Jjw Paradox Tiles (colored) http://cs.sru.edu/~ddailey/paradox/family8Color.svg [https://ello.co/ddailey?start_timestamp=2015-11-13]
	Solar Flares: Tessellation by Alphabet of Paradox https://ello.co/ddailey/post/trCpEf6p_Lye8rqDDqsGtg http://cs.sru.edu/~ddailey/paradox/eggP2.svg
	Super-strong carbon mesh with quinary memory. (Simple nondeterministic paradoxical tessellation) http://cs.sru.edu/~ddailey/paradox/fourtile.svg
	The Pennsylvanian period (mit Frack�ng und Paradox) http://cs.sru.edu/~ddailey/paradox/OddParadox.svg
	https://ello.co/ddailey/post/dntpbya3wfz7gnnfw_c6fa and http://cs.sru.edu/%7Eddailey/svg/snowandflake4.svg
	http://cs.sru.edu/~ddailey/weave/weaver0.htm https://ello.co/ddailey/post/h_JEqAozlNfpIDWTAsod4A and http://cs.sru.edu/~ddailey/weave/weaver1.htm https://ello.co/booksnips/post/_I1h3lKXMvjkvg0f58f64g

Related topics

	Snow Bubbles: tiling with ferny-tiles https://ello.co/ddailey/post/FuLBVR20QTz4ZXsTbfmPQA https://d324imu86q1bqn.cloudfront.net/uploads/asset/attachment/3294062/ello-xhdpi-829d2d88.jpg
	Gardens of Glyphs https://ello.co/ddailey/post/OY0ywyhkZ2SjuAMl9e1CCA http://cs.sru.edu/~ddailey/tiling/QuartercircleBezs.svg and https://ello.co/ddailey/post/zwwfBUmyvrhSVlIAEgHyqg http://cs.sru.edu/~ddailey/tiling/CuFoam.svg [https://ello.co/ddailey?start_timestamp=2015-08-02]
	http://cs.sru.edu/~ddailey/Combo/knots.html Knots and diagrams
	Link
	Another portal from tiling to paradox Dali picture

Additional references:
http://cs.sru.edu/~ddailey/Combo/tiling.html Link to work on tessellation
http://srufaculty.sru.edu/david.dailey/weaving.htm Older experiments with weaving, knitting, knotting
http://cs.sru.edu/~ddailey/Combo/paradox.html Old Paradox index
http://cs.sru.edu/~ddailey/Combo/ComboTalk.html From Web Standards to Web Combinatorics