Theorem of the ham sandwich
Being given three solid S in space, there exists at least a plan cutting each one of these solids in two equal volumes.
This theorem thus applies to a section of Jambon taken between two slices of bread of Pain, but also to any triplet of unspecified solids…
More generally, being given m left limited and Lebesgue-measurable the Euclidean real space of dimension m , there exists a hyperplane closely connected dividing each part into two pieces of equal measurement.
Reference
Glen E. Bredon, Topology and geometry , Graduate Text in Mathematics 139 , Springer.Category: volume Sandwich
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