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A LITTLE SOMETHING WORTH KNOWING

A small discovery. Yours to pass on.

Math & LogicOne small ahaShape

This covering of a surface fits shapes together without gaps or overlaps.

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Your new ahaTessellation

Tessellations tile a surface with repeating shapes and no gaps, a technique famous in M. C. Escher's art. Source: Tessellation

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More from Shapes & Space

A few more worth knowing.

  1. 21For a right triangle, this theorem states that a² + b² = c², with c the hypotenuse.RECALL
    The Pythagorean Theorem

    The Pythagorean theorem states that a right triangle's two shorter sides squared sum to the hypotenuse squared.

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  2. 22Reflection and rotation are forms of this property: a transformation leaves a figure unchanged.RECALL
    Symmetry

    Reflectional symmetry gives matching mirrored halves. Rotational symmetry leaves a figure unchanged after a turn smaller than a full…

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  3. 23These geometric forms exhibit detail or self-similar structure at successively smaller scales; Mandelbrot helped popularize their study.RECALL
    Fractals

    Fractals repeat their pattern at every zoom level, a field named and popularized by Benoit Mandelbrot.

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