The Geometer's Sketchpad and Tessellations

Cathi Sanders
Punahou School, Honolulu, Hawaii

Tessellation Tutorials || Student Sketchpad Tessellations || Suzanne's Math Lessons

Construct a parallelogram, using Parallel Line in the Construct menu.

Construct a random shape on the left side of the parallelogram.

Select D and then C, and Mark Vector "D->C" in the Transform menu. Then select all of the random shape and Translate it By Marked Vector using the Transform menu. (Vector is the name for a segment with a given length and a given direction.)

Construct a 2nd random shape on the top of the parallelogram.

Mark D to A as a vector, and translate the 2nd random shape.

Select the vertices of your polygon in consecutive order and Construct Polygon Interior

Translate the whole polygon (vertices, sides and interior) by a vector DC and then by a vector DA to create a tessellation. Use different colors for adjacent polygons. Drag any point to change your tessellation.

You may download and experiment with the sketch, or try a JavaSketchpad version.

[Download ToTessellate.gsp]

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