Rules of Regular Division Tiling
Chapter 1

The early years and Italian landscapes

Chapter 2

The magic of tessellations and repeating patterns

Chapter 3

Impossible dimensions and optical illusions

Chapter 4

The global legacy and pop culture impact

YOUR GOAL

Master of The impossible art of Escher

Ch 2 · The magic of tessellations and repeating patterns
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schopenhauer Tessellations and Repeating Patterns

Those old Alhambra tiles became a magic key To blend the birds and fish in endless symmetry

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schopenhauer The unexpected connection to modern math

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Metamorphosis as a giant visual story

schopenhauer Escher combined his love of patterns with storytelling, creating massive prints where one shape gradually morphs into another.

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The rules of regular division tiling

schopenhauer Escher became obsessed with tessellation, the art of covering a flat surface with interlocking shapes that leave absolutely no gaps.

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The magic of tessellations and repeating patterns
BETA

schopenhauer Flip and fit interlocking tiles to discover how Escher blended math and art.

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Fun Fact

Alhambra tile rules: Moorish artists used only geometric patterns due to religious rules, but Escher broke this by interlocking recognizable animals.

Sep 10

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Glossary
tessellation (noun)
An arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlaps. M.C. Escher was inspired to create these designs after visiting Spain's Alhambra palace in 1922.

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Gossip

Which animal would you want in a repeating tessellation?

Sep 10

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Quiz

What is the name of the 1964 woodcut that uses repeating patterns to shrink shapes infinitely toward the edge?

Sep 10

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schopenhauer The eye opening Alhambra palace visit

Sep 10

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Quiz

What kind of printmaking technique did M.C. Escher use to make 'Metamorphosis II'?

Sep 10

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schopenhauer The rules of regular division tiling

Sep 10

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Quiz

What is the mathematical term for covering a flat surface with repeating shapes with no gaps or overlaps?

Sep 10

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schopenhauer Metamorphosis as a giant visual story

Sep 10

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Quiz

Why did the Moorish artists at the Alhambra use only abstract geometric shapes in their tiles?

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Quiz

Which historic Spanish palace inspired M.C. Escher's obsession with interlocking geometric tiles?

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Quiz

Which mathematician's academic paper on plane symmetry did M.C. Escher study to master his pattern layouts?

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Quiz

How long is M.C. Escher's famous woodcut print 'Metamorphosis II'?

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Quiz

In M.C. Escher's famous print 'Reptiles' (1943), what do the little lizards do?

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