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By Elizabeth Prata Humans live in a three-dimensional world. The three dimensions are commonly called length, width, and height. A cube is a typical three dimensional object: If yo...
Suppose a cube is inscribed in a sphere and radially projected so that the sphere is divided into six congruent square-shaped regions. Using straightedge (adapted to fit the sphere...
The five Platonic solids are the epitome of perfection—at least in mathematics. Topology explains why there are only five of them
The diagram shows a regular pentagon sharing a side with an equilateral triangle. The red circle's centre is the top vertex of the equilateral triangle. Wherever things look tangen...
Euclidean geometry dates back at least to Euclid (circa 300 BC), and so you might think it’s been pretty well picked over by now. And yet people still occasionally discover new pla...
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