<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Infinite Tiles of Regular rep-tiles

Recreational Mathematics Magazine

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Infinite Tiles of Regular rep-tiles"}

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...

Infinite Tiles of Regular rep-tiles

Published Online: Feb 07, 2020

Page range: 49 - 105

DOI: https://doi.org/10.2478/rmm-2019-0008

Keywords
rep-tiles, fractal, tiles, square, triangle

© 2019 Tony Hanmer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Infinite Tiles of Regular rep-tiles

Published Online: Feb 07, 2020

Page range: 49 - 105

DOI: https://doi.org/10.2478/rmm-2019-0008

Keywordsrep-tiles, fractal, tiles, square, triangle

© 2019 Tony Hanmer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
rep-tiles, fractal, tiles, square, triangle