Literatur
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| 1. |
De Rham curve Wikipedia https://en.wikipedia.org/wiki/De_Rham_curve |
| 2. |
A Gallery of de Rham Curves Linas Vepstas https://pdfs.semanticscholar.org/21ff/582aae0213e573e72a7cd8ae97347f02bedd.pdf |
| 3. |
Fractals in Mathematics Masayoshi Hata http://mate.dm.uba.ar/~umolter/materias/multifractal-2014/Papers/Paper-elegido%20por%20Fernando.pdf |
| 4. |
Symmetries of Period-Doubling Maps Linas Vepstas https://linas.org/math/chap-takagi.pdf |
| 5. |
Lévy Curve Paul Bourke http://paulbourke.net/fractals/levycurve/index.html |
| 6. |
Apollonian gasket Wikipedia https://en.wikipedia.org/wiki/Apollonian_gasket |
| 7. |
A Tisket, a Tasket, an Apollonian Gasket Dana Mackenzie https://www.tcd.ie/Physics/research/groups/foams/media/gasket.pdf |
| 8. |
Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond Hee Oh https://gauss.math.yale.edu/~ho2/doc/revisedOhICM.pdf |
| 9. |
Apollony Fractal Paul Bourke http://paulbourke.net/fractals/apollony/ |
| 10. |
Families of connected self-similar sets generated by complex trees Bernat Espigule https://www.researchgate.net/publication/331429275 |
| 11. |
Self-Similar Dendrites Generated by Polygonal Systems in the Plane Mary Samuel, Andrey Tetenov, Dmitry Vaulin https://www.researchgate.net/publication/317031099 |
| 12. |
PCF self-similar sets and fractal interpolation Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández Sánchez https://w3.ual.es/~edeamo/PDFs%20de%20las%20publicaciones/(2013)%20MR3082354%20PCF%20sets%20&%20fractal%20interpolation%20Math%20Comput%20Simul.pdf |
| 13. |
Spectral Properties of the Hata Tree Antoni Brzoska http://teplyaev.math.uconn.edu/AMS-2016/brzoska.pdf |
| 14. |
On the classification of self-similar setsdetermined by two contractions on the plane Kiko Kawamura https://www.researchgate.net/publication/254207529_On_the_classification_of_self-similar_sets_determined_by_two_contractions_on_the_plane |
| 15. |
Fractals, Self-similarity and Hausdorff Dimension Andrejs Treibergs http://www.math.utah.edu/~treiberg/FractalSlides.pdf |
| 16. |
Random fractal dendrites David Croydon http://www.kurims.kyoto-u.ac.jp/~croydon/thesis.pdf |
| 17. |
Chapter 2 Self-Similar Dendrites http://14.139.13.47:8080/jspui/bitstream/10603/220085/15/9_chapter2.pdf |
| 18. |
Spectral Asymptotics for Stretched Fractals Elias Andreas Hauser https://elib.uni-stuttgart.de/bitstream/11682/10499/1/DissertationHauser.pdf |
| 19. |
On the Exact Convex Hull of IFS Fractals Jozsef Vass https://arxiv.org/pdf/1502.03788.pdf |
| 20. |
Dragon Curve Wikipedia https://en.wikipedia.org/wiki/Dragon_curve |
| 21. |
A spectral study of the Minkowski Curve Nizare Riane, Claire David https://arxiv.org/pdf/1711.10350.pdf |
| 22. |
Fractals - IFS catalogue mathafou http://mathafou.free.fr/themes_en/fractzoo.html |
| 23. |
Eulersche Formel Wikipedia https://de.wikipedia.org/wiki/Eulersche_Formel |
| 24. |
Chaos and Fractals, New Frontiers of Science Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe http://carlosreynoso.com.ar/archivos/peitgen.pdf |
| 25. |
Rauzy Fractals and Some Ideas by the Way Guilhem Gamard http://www.lirmm.fr/~gamard/slides/gamard-semindoc2016.pdf |
| 26. |
Homeomorphism Groups of Fractals ShuyiWeng https://sites.math.northwestern.edu/~sweng/research/undergraduate/math.pdf |
| 27. |
Self-Similar Tiles and Related Figures Stewart R. Hinsley http://www.stewart.hinsley.me.uk/Fractals/IFS/Tiles/Tiles.php |
| 28. |
Drachenkurve Wikipedia https://en.wikipedia.org/wiki/Dragon_curve |
| 29. |
McWorter's Pentigree Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/pentigre/pentigre2.htm |
| 30. |
Pentadentrite Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/pentaden/penta.htm |
| 31. |
More About Cantor Like Sets in Hyperbolic Numbers GAMALIEL YAFTE TELLEZ-SANCHEZ, JUAN BORY-REYES https://www.researchgate.net/publication/319036813_More_About_Cantor_Like_Sets_in_Hyperbolic_Numbers |
| 32. |
Creating Fractal Art with a Computer William Garnes https://www.math.utah.edu/~gustafso/s2016/2270/published-projects-2016/garnesWilliam-fractals/garnesWilliam-fractals.pdf |
| 33. |
Fun with Koch Snowflakes… Dennis Ceh http://a-d-c.ca/fun-with-koch-snowflakes/#page-content |
| 34. |
ON THE INTERIOR OF “FAT” SIERPINSKI TRIANGLES DONALD JEAN PLANTE JR., TUFTS UNIVERSITY https://www.tufts.edu/ |
| 35. |
SIERPI ´NSKI PEDAL TRIANGLES JIU DING, L. RICHARD HITT, AND XIN-MIN ZHANG https://aquila.usm.edu/fac_pubs/1514/ |
| 36. |
Dimension of Fat Sierpinski Gaskets Thomas Jordan, University of Manchester https://people.maths.bris.ac.uk/~matmj/overlapgasket.pdf |
| 37. |
Local Connectivity of Julia Sets: Expository Lectures J. Milnor, Stony Brook, July 1992 https://arxiv.org/abs/math/9207220 |
| 38. |
Mandelbook https://www.mathr.co.uk/mandelbrot/ |
| 39. |
On the Geometry of IFS Fractals and its Applications Jozsef Vass, Dissertation https://www.researchgate.net/publication/260126327_On_the_Geometry_of_IFS_Fractals_and_its_Applications |
| 40. |
ORBITAL TRAJECTORY SIMULATION ON TWIN STARS SYSTEM IN IFS FRACTAL MODEL BASED ON HYBRID ANIMATION METHOD Tedjo Darmanto, Iping Supriana Suwardi and Rinaldi Munir https://www.researchgate.net/publication/303842812_ORBITAL_TRAJECTORY_SIMULATION_ON_TWIN_STARS_SYSTEM_IN_IFS_FRACTAL_MODEL_BASED_ON_HYBRID_ANIMATION_METHOD |
| 41. |
Genetic’s Code in IFS Fractals http://fractatwin.altervista.org/genetics-code-in-ifs-fractals/ |
| 42. |
Koch Curve Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/kcurve/kcurve.htm |
| 43. |
Sierpinski Pentagon Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/pentagon/pentagon.htm |
| 44. |
Koch Snowflake Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/ksnow/ksnow.htm |
| 45. |
Golden Dragon Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/heighway/goldenDragon.htm |
| 46. |
Heighway Dragon Larry Riddle, Agnes Scott College https://larryriddle.agnesscott.org/ifs/heighway/heighway.htm |
| 47. |
Spiral Fractals from IFS Yale University: Department of Mathematics https://users.math.yale.edu/public_html/People/frame/Fractals/Labs/SpiralsLab/SpiralsLabExercises.html |
| 48. |
A tale of two fractals A. A. Kirillov https://www2.math.upenn.edu/~kirillov/MATH480-F07/tf.pdf |
| 49. |
Fractals in Antennas and Metamaterials Applications Wojciech Jan Krzysztofik https://www.researchgate.net/publication/317637523_Fractals_in_Antennas_and_Metamaterials_Applications |
| 50. |
Festbildcodierung bei niedrigen Bitraten unter Verwendung fraktaler Methoden im Orts- und Frequenzbereich Kai Uwe Barthel, Dissertation https://home2.htw-berlin.de/~barthel/paper/diss_barthel.pdf |
| 51. |
IFS - Bildkodierung mit Iterierten Funktionensystemen Yvonne Grage http://www.eberl.net/chaos/Sem/Grage/D_ifs.htm |
| 52. |
Was sind Fraktale? Eine Einführung in die Geometrie des Irregulären Giuliano Basso, Kerstin Quatember https://homeweb.unifr.ch/BassoG/pub/Maturaarbeit%20-%20Was%20sind%20Fraktale.pdf |
| 53. |
Fraktale Kunst - Sven Fauth https://www.fraktale-kunstwerke.de/fraktale-kunst/selbst%C3%A4hnliche-strukturen/iterierte-funktionssysteme/ |
| 54. |
Iterierte Funktionensysteme und Fraktale Konrad Kiener https://www.jku.at/fileadmin/gruppen/194/fraktal.pdf |
| 55. |
A PROBABILISTIC POWER DOMAIN ALGORITHM FOR FRACTAL IMAGE DECODING V. DRAKOPOULOS, A. KAKOS and N. NIKOLAOU https://www.researchgate.net/publication/240949592_A_PROBABILISTIC_POWER_DOMAIN_ALGORITHM_FOR_FRACTAL_IMAGE_DECODING |
| 56. |
Homeomorphism Groups of Fractals Shuyi Weng https://e.math.cornell.edu/people/belk/projects/ShuyiWeng.pdf |
| 57. |
Komplexität — das gezähmte Chaos David Peak, Michael Frame https://link.springer.com/book/10.1007/978-3-0348-6374-2 |
| 58. |
An Iterated Function System based Method to Generate Hilbert-type Space-filling Curves Ruisong Ye, Li Liu https://www.mecs-press.org/ijitcs/ijitcs-v7-n12/IJITCS-V7-N12-2.pdf |
| 59. |
Arithmetic-analytical expression and application of the Hilbert-type space-filling curves Xiaoling Yang, Ying Tan https://www.emis.de/journals/BMMSS/pdf/acceptedpapers/2012-11-051-R1.pdf |
| 60. |
Diskrete Iterierte Funktionensysteme Michael Neuhauser, Diplomarbeit https://www.prip.tuwien.ac.at/pripfiles/trs/tr17.pdf |
| 61. |
Spiral Fractals from IFS Yale University, Department of Mathematics https://users.math.yale.edu/public_html/People/frame/Fractals/Labs/SpiralsLab/SpiralsLabExercises.html |
| 62. |
Macintosh IFS manual Paul Bourke http://paulbourke.net/fractals/ifs/ |
| 63. |
A multiresolution algorithm to generate images of generalized fuzzy fractal attractors Rudnei D. da Cunha, Elismar R. Oliveira and Filip Strobin https://arxiv.org/pdf/1907.01094.pdf |
| 64. |
IFS Construction Kit Larry Riddle, Agnes Scott College http://larryriddle.agnesscott.org/ifskit/gallery/gallery.htm |
| 65. |
FROM ITERATED FUNCTION SYSTEMS TO ITERATED MULTIFUNCTION SYSTEMS HERB E. KUNZE, DAVIDE LA TORRE, EDWARD R. VRSCAY http://wp.demm.unimi.it/tl_files/wp/2008/DEMM-2008_039wp.pdf |
| 66. |
Fractals and Computer Graphics Meritxell Joanpere Salvado http://liu.diva-portal.org/smash/get/diva2:421691/FULLTEXT01.pdf |
| 67. |
Chaos theory, fractal geometry and a genetic approach to IFS-encoding van Duren, E.C.G.J. https://pure.tue.nl/ws/files/46795814/407431-1.pdf |
| 68. |
Fractals Created From Nonaffine Functions And Predicting Attractor Parameters Using Neural Networks Liam Graham https://atrium.lib.uoguelph.ca/xmlui/bitstream/handle/10214/18136/Graham_Liam_202008_Msc.pdf |
| 69. |
Fractals, fractal-based methods and applications Dr. D. La Torre, Ph.D. http://www.bcamath.org/documentos_public/archivos/actividades_cientificas/TalkBCAM20120314DLT.pdf |
| 70. |
Fractal-Based Methods in Analysis Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay http://213.230.96.51:8090/files/ebooks/Matematika/Kunze%20H.,%20et%20al.%20Fractal-based%20methods%20in%20analysis%20(Springer,%202012)(ISBN%209781461418900)(O)(425s)%20MCat%20.pdf |
| 71. |
The Algorithmic Beauty of Plants Przemyslaw Prusinkiewicz, Aristid Lindenmayer http://algorithmicbotany.org/papers/abop/abop.pdf |
| 72. |
MQL5 https://www.mql5.com/en/code/328 |
| 73. |
Hybrid Animation Model of Multi-object in Fractal Form based on Metamorphic Interpolation and Partitioned-Random Iteration Algorithms Tedjo Darmanto, Iping Supriana Suwardi, and Rinaldi Munir https://www.researchgate.net/publication/259292198_Hybrid_Animation_Model_of_Multi-object_in_Fractal_Form_based_on_Metamorphic_Interpolation_and_Partitioned-Random_Iteration_Algorithms |
| 74. |
IMPLEMENTING ITERATED FUNCTION SYSTEMS IN PYTHON https://qmplus.qmul.ac.uk/pluginfile.php/2665145/mod_resource/content/1/160355141_Habib_Wahab_MTH6138_IFS.pdf |
| 75. |
Geometric Modelling of General Sierpinski Fractals using iterated function system in Matlab https://www.wseas.org/multimedia/journals/education/2017/a125810-090.pdf |
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