J
Judith Kadee
2
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2
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012
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May 14, 2026
M.C. Escher
J
24:29Judith KadeeGUEST
So Escher was mostly a printmaker, so always two-dimensional, uh, so on paper.
J
24:34Judith KadeeGUEST
And I like that, Marcus, that you just mentioned sort of this mixture of 3D and 2D because Escher loved playing with making something like a piece of paper, just a two-dim- or a three-dimensional image also.
J
24:46Judith KadeeGUEST
And Escher was really a craftsman, so he loved the woodcut, he loves lithographs, and especially the woodcuts I always enjoy explaining because it's so difficult and technical.
J
24:58Judith KadeeGUEST
He would, uh, draw an image on it, and he would gouge the whole block of wood.
J
25:03Judith KadeeGUEST
So he would cut the image out, and then he would put some ink over the top layer.
26 MINS LATER
M.C. Escher
J
6:27Judith KadeeGUEST
Well, [laughs] so if you boil it down to the basic possibilities, um, you can think of having one kind of tile which you then use throughout your design.
J
6:39Judith KadeeGUEST
Those tiles, and our favorite kinds of ones as mathematicians, are regular ones.
J
6:43Judith KadeeGUEST
So like a square, all the sides are the same length, all the angles are the same.
J
6:47Judith KadeeGUEST
Another example would be the regular hexagon that, that, you know, bees love to make their honeycombs out of.
J
6:53Judith KadeeGUEST
So it's got six sides, and all the sides are the same length, and all of the angles are the same, 120 degrees.
13 MINS LATER