With just three angles ... see the triangle below.
It's easy to see the old man ... how about the younger man?. The Kanizsa Illusion ... Let's stare at this figure until a white 'subjective' triangle appears. Can you see it? It is partially covering three circles. The circles look like pacman shapes don't they? ... I thought I'd mention it, you know, a little levity? Only M.C. Escher can draw like this ... you can tell many of these works are his. Another. Escher … where's the inside, where's the outside? Escher (June 1898 - March 1972) was a Dutch graphic artist, most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and his incredible techniques in woodcutting and lithography. His work continues to fascinate both young and old across a broad spectrum of interests. He was a man studied and greatly appreciated by respected mathematicians, scientists and crystallographers yet he had no formal training in math or science. He was a humble man who considered himself neither an artist nor mathematician. Intricate repeating patterns, mathematically complex structures, spatial perspectives all require a "second look". In Escher's work what you see the first time is most certainly not all there is to see. Line on the left ... line on the right ... exactly same size. The eyes have been known to play tricks ... look closely at three diagrams below. In Fig. 1 ... it looks like the parallel lines have been seriously warped. But things are not always what they appear to be. "Eyes should not tell people what they see.
Once you see the younger man, the mind can easily move from one to the other.
C'mon, is there really a triangle there ... could it be just your imagination, hmm?
Moebius was a mathematician and astronomer in the 1800s.
A moebius strip is a loop of paper with a half twist in it.
Which side of the strip are the ants walking on?
Am I going crazy?
In Fig. 2 ... it looks as though the square has been bent in on the sides.
And in the center, the curved pattern is made up of only rectangles.
Look closely ... use a straight edge to the screen ... see how your eyes can fool you?
People should tell eyes what to look for."
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