What are non-uniform tessellations?

A non-uniform tessellation is when shapes fit together to cover a surface like floor tiles, but not all the same way everywhere.

Imagine you're playing with building blocks. If you use only one kind of block and stack them in the exact same pattern over and over, that's like a uniform tessellation. But if you mix different kinds of blocks, some big, some small, and arrange them in different patterns here and there, that’s a non-uniform tessellation.

Like a Mosaic Puzzle

Think about a mosaic on the floor of a fancy kitchen. It has lots of tiny tiles, but they're not all the same shape or color. Some parts have triangles, others have squares, and each part looks slightly different from the next. That's a non-uniform tessellation in real life!

When Patterns Change Places

In a uniform tessellation, it’s like you’re always walking on the same kind of floor tile. But with non-uniform ones, sometimes your foot lands on a square tile, then a triangle, then maybe even a hexagon, it's like the floor is playing hide-and-seek with you!

So, non-uniform tessellations are fun because they change up the pattern, just like how your favorite toy might look different when you turn it around!

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Examples

  1. A honeycomb made of different-shaped hexagons
  2. Tiles in a bathroom that aren't all the same shape
  3. A quilt with patches of varying shapes fitting together

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