Geometry Through Art

Norman Shapiro

Grid Patterns

What Children Can Learn About Art and Geometry

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On to Colored Shape Visualizations || Back to Inscribed Polygon Grids || Table of Contents
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The Octagon Grid begins with inscribed squares. They exist in grid patterns, in sets of parallel lines, in rotating lines and polygons, in symmetries. Formations go in finite numbered directions: diameters, lines of symmetry, and congruent sectors, equi-angular at the center of the circle. The sum of the central angles of a square is 360 degrees.

The grids are made by juxtaposing pairs of congruent inscribed polygons so that the circle is divided into congruent sectors. From this foundation, we look for pairs of intersects to derive new sets of chords.

Learners investigate these platonic realities by placing sets of colored dots to highlight a pattern of vertices. They progress to new and ever more elaborate networks of line segments.

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On to Colored Shape Visualizations

Copyright 1995 Norman Shapiro

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9 November 1995