Create – Your Own Algorithm

Regular – Patterns in which the same thing is repeated over and over.

The collection of polyominoes used in the exercises below can be found here.

Tessellations involving pentominoes having a single orientation.

Tile T01 Problem Statement Solution
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Tile T02 Problem Statement Solution
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Tile T03 Problem Statement Solution
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Tile T04 Problem Statement Solution
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Tile T05 Problem Statement Solution
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Tile T06 Problem Statement Solution
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Tessellations involving pentominoes in which rotation is permitted.

Tile T07 Problem Statement Solution
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Tile T08 Problem Statement Solution
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Tile T09 Problem Statement Solution
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Tile T10 Problem Statement Solution
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Tile T11 Problem Statement Solution
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Tile T12 Problem Statement Solution
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Tesselations involving tiles larger than pentominoes

Tile T13 Problem Statement Solution
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Tile T14 Problem Statement Solution
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Geometric – Patterns that get larger/smaller when they repeat.

Reading What are laces?
Lace 01 Problem Statement Solution
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Lace 02 Problem Statement Solution
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Lace 03 Problem Statement Solution
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Lace 04 Problem Statement Solution
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Lace 05 Problem Statement Solution
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Lace 06 Problem Statement Solution
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Lace 07 Problem Statement Solution
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Lace 08 Problem Statement Solution
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Lace 09 Problem Statement Solution
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Recursive Drawing

Toby Schachman is the creator of a number of tools that let you explore and leverage computational power in interesting ways. One such tool, called recursive-drawing, lets you create recursive patterns. You will need a mouse to use this tool (it will not work on a tablet device). An instructional video showing the basics of the recursive-drawing tool can be found here.

Evolutionary – Patterns that change over time.