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)

Magritte, The Blank Signature	MWM Graphics	Matt W Moore
Selected Paradoxical Drawings (by me) (largely from this exhibition)

Link	Cat Deity	Link


Link	Welcome to the Pipeworks	Foot


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

Forming Tangles and Tangle Notations
	Drawing Regular Graphs It is animated somewhat slowly to let people read the text; so, be patient!
	Animated drawing of tangles.
	More animated drawing of tangles and more
	Two tangles; one graph and tangleAnimStrokeAndPath.svg
	BasicTangles
	Tangles with one node
	The four tangles on two nodes
	Loopless tanges on three and four nodes
	Some relations between tangles and graphs
	How best to optimize angles of intersection of paths, distances between nodes, smootness of curvature, tc\\etc.? knot2.svg and tanglecar.svg and squig1.svg (see also this talk at U of Canterbury and the paper: Aesthetic and Practical Concerns in the Drawing of Euler and Venn Diagrams: Case Studies using SVG )
	Roots of Tangles: A numeric notation for describing the process of drawing any tangle. tangles1.svg
	A periodic series of Tangles OS12345.svg also oneTangledNotation.svg
	Drawing tangles: notation http://cs.sru.edu/~ddailey/tangles/TangleDrawing4.svg
	A first notation for encoding the graph theoretic essence of a tangle TangleDrawing5.svg
	Beyond tangles: toward a notation for Basic Loops basicLoops.svg and this
	Problems and solutions for a notation for drawing http://cs.sru.edu/~ddailey/tangles/basicLoops4.svg
	Applied Tangles knot2.svg Venn diagrams on five sets

Knot tiles, knot tilings, and weaves
	The 31 basic knot-tiles Demonstration of the couting of knot-tiles also Pulse{blood,bile, phlegm}
	Making and traversing tangles/knots AskKnot.svg KnotsFollow.svg (3 cars)
	Knotty triangles tribraids9.svg from SVGOpen 2008
	Overlapping circles making foam of Euler diagrams EulerFoamExplanded.svg (this was originally done using <replicate> but I need to resurrect my replicate examples)
	http://srufaculty.sru.edu/david.dailey/javascript/traverse.html Wallpaper from messages with tangle alphabets (circa 1999)
	SVG weave using <linearGradient> <stop> opacity and stop-offset to mimic threads passing over and under one another. http://srufaculty.sru.edu/david.dailey/svg/gradientweave.svg
	Weaving pictures with arbitrary weaves (use your own pictures) weaver0.htm weaver1.htm

Knot and tangle traversal
	Trefoil knot traffic. The appearance of under and over is just an illusion. knot2.svg
	Borromean rings with traffic /rings.svg
	Animated traffic and signals drawingcurve7.svg
	Surrealist clock drawingcurve.svg
	Dancing on a tangle AnimTangleStroke.svg and some possible explication: SimpleStrokingOfTangle1.svg SimpleStrokingOfTangle3.svg story about "the Dancing Worms of Poughkeepsie"

Converting Tangles to Paradoxes
	Paradoxical foliage from 1-factored forests of trefoils Trefoliage
	Making Paraoxes from Tangles TanglesE5.svg
	Steps in converting tangles to paradoxes knotscolor2.svg
	Venn Paradoxes Venn5.svg
	Several tangle paradoxes tanglesSeveral1.svg
	Borromean Paradox tangles8.svg
	More tangles to paradox tangles6.svg and tangledox.svg
	Simple Paradoxes paradoxbasicsPlain.svg

Primitives and Tapestries of Paradox
	Alphabet of Paradox paradox8a.svg
	Alphabets for Paradox paradoxesCount2.svg
	Tapestry of Paradox PTapestry3.svg
	Making squares for a paradox quilt (with links) Paradox2a.svg
	Paradox Tiles for Tapestries family8Clear.svg
	Paradox Tiles (colored) family8Color.svg
	Link
	Super-strong carbon mesh with quinary memory (Simple nondeterministic paradoxical tessellation) fourtile.svg Solar Flares: Tessellation by Alphabet of Paradox eggP2.svg
	The Pennsylvanian period (with Fracking und Paradox) OddParadox.svg
	PETscan http://cs.sru.edu/%7Eddailey/svg/snowandflake4.svg

Related topics
	Snow Bubbles: tiling with alphabets of paradox Link1 Link2 Link3 Link4
	Gardens of Glyphs QuartercircleBezs.svg and CuFoam.svg
	http://cs.sru.edu/~ddailey/Combo/knots.html Knots and diagrams (some links are likely broken due to problems at cs.sru.edu)
	Moving seed pod from snow bubbles

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