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Skill 12 of 13
In Progress

Curvature conservation

A pizza slice is initially flat. Its principle curvatures are both zero, so its Gaussian curvature is $G=\underbrace{k_\text{smallest}}_0\cdot \underbrace{k_\text{largest}}_0=0$.

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References:

  1. The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English’ (book), Steven Schwartzman, The Mathematical Association of America, 1994, www.amazon.com/exec/obidos/ISBN=0883855119, ISBN 978-0883855119
  2. Online Etymology Dictionary’ (dictionary), Douglas Harper, www.etymonline.com
  3. Gaussian Curvature: the Theorema Egregium’ (web page), ThatsMaths, 2018, thatsmaths.com/2018/12/27/gaussian-curvature-the-theorema-egregium (accessed May 14th, 2019)
  4. How a 19th Century Math Genius Taught Us the Best Way to Hold a Pizza Slice’ (web page), Aatish Bhatia, Wired: Science, 2014, www.wired.com/2014/09/curvature-and-strength-empzeal (accessed May 14th, 2019)