Monday, February 1, 2021

2021 ART: The Mondrian Puzzle: Abstract Art meets Mathematics and a virtual world

The Mondrian Puzzle: 
Abstract Art meets Mathematics
In OpenSimulator.  

Tessellation or tiling the plane fits many interests: art, mathematics, architecture and puzzles.  Mondrian tiled the canvas plane with art.  


The Mondrian Puzzle 


  • An integer-sided square.
  • Given: a set of integer-sided rectangles (tiles)  such that no pair is congruential.
  • Score = The difference between the areas of smallest and largest tiles 
  • Standard tiling rules require that the tiles cover the whole area without overlap
  • Find the tiling that has the lowest score possible.
  • Another explanation: Numberphile 

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  • Screenshots from ShareX
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  • Annotated screenshots made with Techsmith Capture
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  • Selby Evans in Kitely and Hypergrid, Thinkerer Melville in Second Life.

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