M. C. Escher

This page is a sub-page of our page on Art.

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Related KMR-pages:

Arcimboldo
Oscar Reutersvärd

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Angels and Devils moving in the Poincaré disk:

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Rotation of the “impossible triangle”.

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The Homotopy of Impossible Figures:

Two impossible figures
are considered equivalent
if they can be reciprocally connected
by a possible path.

\, \mathrm {OntoImpossibility} \, = \, \mathrm {Impossible \; Figures} / \mathrm {Possible \, Paths} \,

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Representation: \, [ \, \mathrm{Lies} \, ]_{\, \mathrm{Truths}} \, \mapsto \, \left< \, \overset{\mathrm{Homotopic}}{\mathrm{Equivalence}} \, \right>_{\mathrm{Truths}} \,

Definition: Two lies \, L_1 \, and \, L_2 \, are equivalent if and only if
they can be transformed into each other by valid (= true) reasoning.

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Compare the page on Homotopy.

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