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Dissecting a Cube into an H Shape and Two Cubes

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This Demonstration shows a dissection reflecting the formula . This is done by dissecting a cube with side length into cubes with side lengths and and three congruent rectangular solids of dimensions , and , which are rearranged to form an H-shaped solid.

Contributed by: Izidor Hafner (June 2019)
Open content licensed under CC BY-NC-SA

Details

Forming the H shape from three rectangular solids was a reason for naming a special cube divided into 11 pieces the H-cube ("Kocka H") in [1, pp. 36–41].

Reference

[1] H. Kocka. "H-Cube." Logika & Razvedrilna Matematika. (Jun 12, 2019) www.logika.si/revija/revije-splet/Logika-2018-2019_4.pdf.

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