# Tiling with Shapes and Tessellations

Hard

Discover which shapes can tile an infinite plane and why! Experiment with pentominoes, heptiamonds, wheelbarrow, and kite #n# dart pairs to find the most efficient shape for tiling.

## Hypothesis

The hypothesis is that some shapes can tile an infinite plane while others cannot.

## Method & Materials

You will build pentominoes, heptiamonds, wheelbarrow, and kite #n# dart pairs from legos, pattern blocks, tagboard, and manipulatives. You will then experiment with tiling appropriate rectangular grids and planes using these shapes.

You will need legos, pattern blocks, tagboard, and manipulatives.

## Results

We discovered that some shapes can tile an infinite plane while others cannot. We also found that hexagons are the most efficient shape for tiling, consuming the least amount of wax to create the same amount of area.

## Why do this project?

This science project is interesting and unique because it combines mathematics, geometry, and art to explore the fascinating world of tiling and tessellations.

## Also Consider

Experiment variations to consider include exploring other shapes that can tile an infinite plane, such as octagons or pentagons, and experimenting with different types of tessellations in nature, such as crystals or snowflakes.

## Full project details

You can find additional information and details for this science fair project here. Have fun exploring!Share this Science Project:

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