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How to Make a Tessellation With the Paper Cut Method

Tessellations are shapes that form repeated patterns on a plane. The shapes must not overlap or have any gaps, and may include pictures, polygons or curves. The form was made famous by the Dutch artist M. C. Ecsher. Escher did not have any formal training in math, but studied it on his own. Ceiling and floor tiles are examples of tessellations. Tessellations also occur in nature, such as in honeycombs and on turtle shells. To make a tessellation with the paper cut method, begin by drawing two intersecting lines on a square. Mark the shapes, and swap the ones that are opposite to each other.

Things You'll Need

  • Paper
  • Cardboard
  • Pencil
  • Scissors
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Instructions

    • 1

      Draw two jagged, random lines on a 2-by-2-inch piece of cardboard paper. The second line must intersect the first. Starting from the left and proceeding clockwise, label the corners with letters.

    • 2

      Cut out the four shapes. Cut the lines only up to the intersection.

    • 3

      Place the shapes next to each other, in their original position. Swap pieces A and C, and then pieces B and D. Tape them together so that they do not slip.

    • 4

      Place the new shape on a sheet of paper. Trace the outline with a pencil, move it over so that some of the edges fit, and then trace it again. Do this several times.


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