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 Hans Walser
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Semi Cubes


MACAS 2019

Mathematics and its Connections to the Arts and Sciences


McGill University, Montreal, Canada

June 18 - 21 2019

 
 
Abstract

A cube cannot be transferred with ruler and compass into a cube of half the volume. On the other hand, there are a number of easy-to-construct figures that halve the cube volume. Symmetry considerations play an important role here.
With these figures, the space can be filled without gaps and without overlap. We will discuss the difference between the static "fit in" and the dynamic "fit into". We are working in the dimensions two, three and four. For the production of the figures, among other things, the "monkey saddle" is used. Similarly, we can work virtually with 3d origami. Some examples are illustrated with paper models.

 
 
 
 
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