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DANTELLE
LACE
DR WILLIAM MCWORTER
GARY TEACHOUT
SPANKY.CA
FRACTINT
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GENERAL SWASTICA SPACE-FILLING CURVE
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KNUTH CURVE
SPACE FILLING CURVE
RARE TRIANGULAR SPACE-FILLING CURVE
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RARE RECTANGULAR SPACE-FILLING CURVE. ORIGINAL
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RARE RECTANGLE SURFACE-FILLING CURVE.
AKIN TO ARABIC KUFIC CALLIGRAPHY
ESP THE ARABIC PROPER NAME 'ALI'
OR THE LATIN LETTER 'F'
BUT ... RECURSIVE.
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
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GENERAL SIERPINSKI GASKET
GENERALIZED SIERPINSKI TRIANGLE
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COLOR BYZANTINE CROSS
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ARE YOU TIRED OF THE PRICKLY STRAITJACKETED CLASSIC SIERPINSKI TRIANGLE ?
CURVY SINOUSY PLAYFUL POLAR SIERPINSKI
MULTI-SAIL SIERPINSKY SAILING BOAT
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
Related pages
- www.flickr.com/photos/lsystems_fractals
- swastika-swastika.blogspot.com
- http://geometrica.tripod.com
- http://geometrica.01.tripod.com
- http://geometrica.02.tripod.com
- http://geometrica.03.tripod.com
- http://geometrica.04.tripod.com
- http://geometrica.05.tripod.com
- http://geometrica.06.tripod.com
- http://geometrica.07.tripod.com
- http://geometrica.08.tripod.com
- http://geometrica.09.tripod.com
- http://geometrica.10.tripod.com
- http://geometrica.11.tripod.com
- http://geometrica.12.tripod.com
- http://geometrica.13.tripod.com
- http://geometrica.14.tripod.com
- http://geometrica.15.tripod.com
- http://geometrica.16.tripod.com
- http://geometrica.17.tripod.com
- http://geometrica.18.tripod.com
- http://geometrica.19.tripod.com
- http://geometrica.20.tripod.com
- http://das-cross.tripod.com
- http://cross150.tripod.com
- http://joke-egypt.tripod.com
- http://classes.yale.edu/fractals Professor Benoit Mandelbrot web page
- alogrithmicbotany.org
university of calgary, canada,
Professor Przemyslaw Prusinkiewicz,
students and co researchers.
Amazing research !!!
Free downloads
including the famous book
"The Algorithmic Beauty of Plants"
- introduction to l-systems fractals
the famous spanky.triumf canadian fractal web site
- l-systems source code for fractint
- self-similar syncopations:
Fibonacci, L-systems, limericks and ragtime
- www.comphist.org/whoami.php portraits of computer celebrities
- Solving Linear Algebraic and Differential Equations with L-Systems
Solving 5-diagonal systems of linear equations using L-Systems ... Appendix A:
The complete L+C source code. 1 #include . 2. #include ...
- l-systems and genetic algorithms
l-systems and genetic programming
l-systems and genetic hardware design
l-systems and cellular automata
l-systems and ...
- PREDICTIONS FOR A NEW PHYSICS OF GRAVITY & AWARENESS BASED ON RECURSION
- lindenmayer systems in MuPad
(little tutorials in English and in German)
- History of Mathematics
- Fractal Origami
- Les 17 types de pavage du plan (animation)
- pavage, fractales, logique, ...
- `pst-fill' A PSTricks package for filling and tiling areas Timothy (Postscript file)
- MacTutor History of Mathematics
archive and biography search
e.g.
You can see a map showing only coastlines, rivers, etc or a coloured map showing the present day countries.
Click on a place on the map to see the mathematician(s) born there.
Click HERE to see a map with the names of all the places marked.
Birthplace Maps Index
Main index Biographies Index
History Topics Index Famous curves index
Mathematicians of the day Time lines
Societies, honours, etc. Search Form
- Ivars Peterson's MathTrek pursuit curves
- Gary Teachout: surface-filling curves
- mathworld.wolfram.com/HilbertCurve 2D 3D
- impossible figures
- L-system webopedia
- knot plot site
-
Computer Generated Celtic Knotwork using L-system Graphics,
Dave Carroll and Mike Scott.
In any domain where objects are sufficiently regular there may be an opportunity to develop a grammar based model of their geometric structure. One such domain is Celtic knot work particularly knot work of the type found in Celtic manuscripts such as the Book of Kells. Modelling such knot work using a grammar based approach based on L-systems is the subject of this paper. The paper describes the addition of a curve drawing construct to L-systems to allow the encoding of curved figures. A construct is developed which enables Bezier curves to be drawn using L-systems. This construct is used to model Celtic knot patterns. The patterns are encoded in an L-system and used as meta-patterns to construct simple carpet-pages made up of multiple knot patterns. A prototype production rule system and graphics interpreter for L-system strings using turtle graphics is also described. The problem of under-crossing and over-crossing of knot cords is addressed using Z-axis perturbation. This enables the generation of self-avoiding curves in three-space to give realistic looking knot patterns in 3D.
- The Stony Brook Algorithm Repository
- wikipedia: space-filling curve, definition
- www.encyclopedia4u.com/s/space-filling-curve.
- sciencedaily: space-filling curve
- cantor square fractal, etc
- break rules, Gosper
- Geometry Junkyard. Gosper, Peano, ... very interesting.
- Jan Abas, Islamic Art (influenced Eascher}"
- Algebraic surface models. Oliver Labs makes models of algebraic geometry examples using a 3d printer
- Zipf Law
- Feigenbaum Constant
Bifurcation diagram
Feigenbaum function
- A book, not online: Hans Sagan, Space-Filling Curves, Springer-Verlag, New York, 1994. ISBN: 0-387-94265-3.
GEOMETERS (& OTHER GREATS) I SHOOK HANDS WITH
MOHAMED ALY (THE BOXER)
IVERSON ( THE INVENTOR OF apL )
BENOIT MANDELBROT
WOLFRAM (A NEW KIND OF SCIENCE AND MATHEMATICA)
COXETER
COXETER IN ENCYCLOPEDIA BRITANNICA
Coxeter, H(arold) S(cott) M(acDonald)
British-born Canadian geometer
(b. Feb. 9, 1907, London, Eng.?. March 31, 2003, Toronto, Ont.),
was a leader in the understanding of
non-Euclidean geometries,
reflection patterns,
and polytopes (higher-dimensional analogs of three-dimensional polyhedra).
His work served as an inspiration for R. Buckminster Fuller's concept of
the geodesic dome and, particularly, for the intricate geometric·
Coxeter, H S M... (75 of 176 words)
GEEKs carrying GIF s
png o
KEYWORDS
FASS (space-filling, self-avoiding, simple and self-similar) curves
l-fractals
no plants
2D GRAPHICS
2-DIMENSIONAL GRAPHICS
AFFINE TRANSFORMS
ALHAMBRA
ANCIENT CHINESE TEMPLES
ancient fractals
ANCIENT SYMBOLS
ARCHITECTURE-LIKE DRAWING
CHILDREN GRAPHICS
COLORING BOOKS
COMPUTER GRAPHICS
CONTROVERSY
CONTRPVERSIAL SYMBOLS
CROSS
CRYSTALS
DESIGN
DRAGON CURVE
DRAWING
EMERGENCE
EMERGENT GRAPHICS
EMROIDERY
ESCHER
EYE CANDY
EYE BOGGLERS
EYE BOGGLING
EYE TWISTERS
FASS
FLOWERS
fractals "inverse problem"
GHOSTSCRIPT GRAPHICS
GOSPER CURVE
HILBERT CURVE
HINDU SWASTIKA
KIDS GRAPHICS
KNUTH CURVE
KOCH SNOWFLAKE
LINDENMAYER SYSTEMS
LINE FRACTALS
LINEAR FRACTALS
LOGO GRAPHICS
LSYSTEMS NON-PLANTS
MENGER SPONGE
MOSAIC
NAZI GERMANY
NEON SIGNS
old fractals
PAINT BOOKS
PATTERNS
PEANO CURVE
PEANO-GOSPER CURVE
POSTSCRIPT GRAPHICS
RECURSION
RECURSIVE GRAPHICS
RELIGIOUS SYMBOLS
SELF AVOIDING
SELFAVOIDING
SWMI ART
SIERPINSKI CARPET
SIERPINSKI CUVE
SIERPINSKI GASKET
SIERPINSKY
SPACE-FILLING CURVE
SPACE-FILLING CURVES
SURFACE-FILLING CURVE
SURFACE-FILLING CURVES
SYMBOLOGY
SYNERGY
SYMBOLS
SYMBOLOGY
T-SHIRTS
TESSELATIONS
TEXTILES DESIGNS
TEXTURES
TILING
TURTLE GRAPHICS
VISUAL PUZZLES
WALLPAPER
YIN YAN
YING YANG
YING YANG
Z CURVE
Z CURVE
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