Math Art with 7000 Rectangles
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This example demonstrates the creation of complex mathematical art by dynamically generating 7000 rectangles. It involves core math concepts like rectangle construction, real numbers, scalene triangles, piecewise functions, volume calculation, and histogram representation. The construction utilizes GeoGebra's Sequence command and objects such as s, t, A, B, l1 for parametric settings. Suitable for high school and above, exploring the intersection of mathematics and art, and dynamic geometry techniques.
GeoGebra Commands & Parameters
Sequence(Polygon[(s(k) - A(k), t(k) - B(k)), (s(k) + A(k), t(k) - B(k)), (s(k) + A(k), t(k) + B(k)), (s(k) - A(k), t(k) + B(k))], k, 1, 7000) → l1
AI Drawing Prompt Reference
Create a complex mathematical art piece consisting of 7000 rectangles. The size and position of each rectangle are determined by parameters s and t. As the parameter k varies from 1 to 7000, dynamically generate these rectangles with their vertices at (s(k) - A(k), t(k) - B(k)), (s(k) + A(k), t(k) - B(k)), (s(k) + A(k), t(k) + B(k)), and (s(k) - A(k), t(k) + B(k)).
The prompt above was compiled from the original drawing commands and is for reference only.