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
7067F93E.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
756AF1C2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7F3F2677.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7DC5511C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78136D72.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7043F2CA.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
75B32A7D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7CC38E8B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73D45EBC.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73580787.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7419598D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
778AAC5B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
752B26B7.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
72FC1108.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7CE81B88.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7DFAF0DB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7A490E73.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77A12B1C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79C5AFB8.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7EB5679A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
71103C77.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
71B5F09A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7B610936.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7FEF6BF2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7E2AAD5D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77F20B2A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7B9C973F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79F42B61.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7F15AFCA.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C7A1A4A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77F78B5A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
718DFC15.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77D2BD10.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79EFEC09.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
72ACBCC5.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
75B93B20.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7DAABA24.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7D9D850A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
768F8FFC.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C718E67.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
772BB44F.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
717D11C3.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78DA862A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
72BF3306.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7CFEB1F6.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7B5E0E4C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77B8CFBA.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
75CFD3BB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
71EB7E30.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
75F35F3C.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7400902A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
74F4AFBB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
71085AE9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7E845C63.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
770C5FE6.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7B8460EE.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79F3F5E1.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C2F5B9B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
715030F8.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
711920C4.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78C384FD.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7A390F3B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7FEE7F10.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73C85819.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7A012D06.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7E341815.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77CC4C37.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78EBA07D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7A77CC2B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
75E56035.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7A2BEB54.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7AE37FC9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
750B1EC2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7E2881EB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7AF8F469.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7647B599.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
70F11212.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
764A16A2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C23B094.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
71E9B107.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79F5ACCB.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78551E64.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7B462758.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73362FE2.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
755016EF.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7AB78FC4.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
76AC86FD.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7DBEEB6B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
727BE778.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7122330B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78B911D3.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
78EA169D.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C7C571B.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73C18A58.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C45CF20.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79CD402A.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7D67C310.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7963B6D8.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
70FC3911.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7308FBCA.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7788FFB9.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7D05EF08.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
766E5790.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
73B29870.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7968E065.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
74CE0892.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
77CE2B95.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
79792298.PNG
INDIAN SWASTIKA PRATIK CHRISTIAN CROSS FRACTALS RECURSIVE ART
7C7AD54B.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