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GUTHRIE'S SOLID

Francis Guthrie (1833, 1899): British mathematician. |

Guthrie's solid, composed of 2*n* parallelepipeds
superposed as above show that we can find in space *n* domains (here
each of them composed of two crossed parallelepipeds of same color) such
that any pair of them always meet along a surface with nonzero area.

This proves that the situation is completely different
from the situation of the plane where the maximum number of domains such
that any pair of them meet along a curve with nonzero length is equal to
4.

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© Robert FERRÉOL 2017