Artwork for Tessellation for Kids: How Tiles Cover a Floor With No Gaps

Maths

Tessellation for Kids: How Tiles Cover a Floor With No Gaps

Episode 831 12:08

In this episode

The story of tessellation for kids: shapes that cover a floor with no gaps, and how David Smith from Bridlington in Yorkshire found a tile in 2022 whose pattern never repeats.

• Why squares, triangles and hexagons make repeating patterns
• How Roger Penrose found a never-repeating pattern with two shapes in 1974
• How David Smith's 13-sided hat was proved by a team of four in 2023
• Quiz questions to answer along the way

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