What Is... the Zigzag Theorem?
نویسنده
چکیده
There are actually many different zigzag theorems. We will discuss two different zigzag theorems. We will begin with Isbell’s zigzag theorem, which is a an algebraic result involving semigroups and dominions. Then we will also discuss zigzags between two circles, an ergodic result, which is a closure theorem, similar to Poncelet’s porism and Steiner’s porism. We will then mention a general theorem, which has all three closure theorems as special cases.
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