The graphic design work of Maurits Escher is familiar to most people having interest in both art and geometry. Many of Escher's best-known works involve turing tilings of the plane (checkerboards, for example) into tilings by shapes of animals, or horsemen, or mythical figures. But Escher was disturbed by problems of representing infinite spaces within finite bounds. |

Some of Escher's geometry tricks. |

Escher and the infinite. |

Fractal tilings of Peter Raedeschelders. |

Fractal tilings of Robert Fathauer. |

Two very elementary ways to grow fractal tiles. |

An elementary way to generate a tiling with infinite detail. |