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arXiv · 1504.01727

Some Elementary Aspects of 4-dimensional Geometry

J. Scott Carter·David A. Mullens
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Abstract

We indicate that Heron's formula (which relates the square of the area of a triangle to a quartic function of its edge lengths) can be interpreted as a scissors congruence in 4-dimensional space. In the process of demonstrating this, we examine a number of decompositions of hypercubes, hyper-parallelograms, and other elementary 4-dimensional solids.

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J. Scott Carter, David A. Mullens. 2015-04-07. Some Elementary Aspects of 4-dimensional Geometry. https://arxiv.org/abs/1504.01727

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