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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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