CTK Insights

How can be one so wrong? The common objection to the existence of trigonometric proofs of the Pythagorean theorem stems from the assertion that the most important trigonometric identity sin²α + cos²α = 1, being equivalent to the Pythagorean theorem, can;t be employed to proof the latter. However, as Jason Zimba has recently observed, that [...]

M. C. Escher, the Dutch graphic artist, now famous for his lithographs replete with paradoxes of shifting view point, tessellations by uncommon shapes and unseen animals, metamorphoses of seemingly unrelated figures, put down in his Notebooks a simple theorem he was unable to prove but that guided some of his works. The theorem relates to [...]