HINT
In your internet browser
turn
OFF
the popups
(and pop unders)
BACK
HOME
FOR MORE FRACTALS visit
http://www.flickr.com/photos/systems_fractals
HTTP://GEOMETRICA.TRIPOD.COM
HTTP://swastika-swastika.blogspot.com
D84451BA.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D226517B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D66A6271.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DDAE99B5.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC7236C9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DDB23583.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DFD20F61.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DAEAA28B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DE111D3E.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D9A8002C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DF99364A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC22F71F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DE30D102.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1D43C13.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1D2BB90.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D3AB06A5.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D37CB68D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D80B8CE4.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DFB08121.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4344456.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D55D0710.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DD6F734D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D90E0789.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D5FE8123.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D475C07F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D60E198D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1667B41.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D29D0712.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D947BB18.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D941160B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DA508615.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1DF969A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC202CBB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DEB2DD3D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4D4114C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DAD4A6E2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D311C57E.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D58857FF.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D9F4249B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D7BEE6F7.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D177F0A2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4799D0A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DDBD8863.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D914AEB6.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DA2F39AB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1D24027.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D50E6ED9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DAD42B99.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DE1AF15B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D3C9EE44.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D901ECE8.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D686AE4C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DBF9BBE9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DCA2F8B7.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D457E38C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DED9F69C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D6446850.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D002FD9F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4E7AA7F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D2ECC55F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D6B2CF83.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D3A4D57F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D0D502D1.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D193DEC4.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D617FC06.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DA9FB60B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D1981358.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D8917B78.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4599B9A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D25862E5.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DADAF776.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D73B97CC.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DD02FFC5.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4783CB4.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D2109635.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC0A78AF.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DF75C2A3.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D18CBBDB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D996E40B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC700A74.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4448463.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DEBB88F6.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DEA7FD9D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D7209047.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DEA00F74.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D4FD05B9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D8C4DC2B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DB899415.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D6944C8A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D7F478BC.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DD0ECF5E.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D617CB3C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DA118DA3.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D0D10EFE.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DC4187E8.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D34857B1.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DEE328CB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D9EE4FB0.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
DD14B4D1.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D10A45E0.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
D8A0C30A.PNG
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
BACK
HOME