1. bookVolume 6 (2019): Issue 12 (December 2019)
Journal Details
License
Format
Journal
eISSN
2182-1976
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English
access type Open Access

Infinite Tiles of Regular rep-tiles

Published Online: 07 Feb 2020
Volume & Issue: Volume 6 (2019) - Issue 12 (December 2019)
Page range: 49 - 105
Journal Details
License
Format
Journal
eISSN
2182-1976
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English
Abstract

Here I describe an infinite number of fractal tiles of regular rep-tiles in all dimensions above 1. Each rep-tile’s set of tiles can be divided into subsets based on certain visual characteristics. As fractals, they can be programmed and rendered in any size. They can be arranged in groups according to their aesthetic properties; used as an unending visual and pattern-recognition training ground for AI; and even animated as increments from one to the next.

Keywords

[1] Apophysis (Ronald Hordijk, Mark Townsend). Open source fractal flame editor , created in 2003. https://sourceforge.net/projects/apophysis/Search in Google Scholar

[2] Fractint (Bert Tyler). Freeware fractal generator, created in 1988. https://www.fractint.org/Search in Google Scholar

[3] Georgia Today. http://georgiatoday.ge/Search in Google Scholar

[4] Lindenmayer, A. “Mathematical models for cellular interaction in development.”, Journal of Theoretical Biology, 18:280–315, 1968. https://en.wikipedia.org/wiki/Aristid_Lindenmayer10.1016/0022-5193(68)90079-9Search in Google Scholar

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