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Infinite Tiles of Regular rep-tiles Cover
By: Tony Hanmer  
Open Access
|Feb 2020

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.

Language: English
Page range: 49 - 105
Published on: Feb 7, 2020
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Tony Hanmer, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.