## 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 Work On Paper Work Online Tile T02 Problem Statement Solution Work On Paper Work Online Tile T03 Problem Statement Solution Work On Paper Work Online Tile T04 Problem Statement Solution Work On Paper Work Online Tile T05 Problem Statement Solution Work On Paper Work Online Tile T06 Problem Statement Solution Work On Paper Work Online

### Tessellations involving pentominoes in which rotation is permitted.

 Tile T07 Problem Statement Solution Work On Paper Work Online Tile T08 Problem Statement Solution Work On Paper Work Online Tile T09 Problem Statement Solution Work On Paper Work Online Tile T10 Problem Statement Solution Work On Paper Work Online Tile T11 Problem Statement Solution Work On Paper Work Online Tile T12 Problem Statement Solution Work On Paper Work Online

### Tesselations involving tiles larger than pentominoes

 Tile T13 Problem Statement Solution Work On Paper Work Online Tile T14 Problem Statement Solution Work On Paper Work Online

## Geometric – Patterns that get larger/smaller when they repeat.

 Reading What are laces? Lace 01 Problem Statement Solution Work On Paper Work Online Lace 02 Problem Statement Solution Work On Paper Work Online Lace 03 Problem Statement Solution Work On Paper Work Online Lace 04 Problem Statement Solution Work On Paper Work Online Lace 05 Problem Statement Solution Work On Paper Work Online Lace 06 Problem Statement Solution Work On Paper Work Online Lace 07 Problem Statement Solution Work On Paper Work Online Lace 08 Problem Statement Solution Work On Paper Work Online Lace 09 Problem Statement Solution Work On Paper Work Online

## 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.

• The Sierpinski Gasket
• Fibonacci Numbers