Posts tagged with cell complex

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Cylinder = line-segment × disc

C = | × ●

The “product rule” from calculus works as well with the boundary operator as with the differentiation operator .

∂C  =   ∂| × ●   +   | × ∂●

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Oops. Typo. Sorry, I did this really late at night! cos and sin need to be swapped.

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Oops. Another typo. Wrong formula for circumference.

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  • Why bicontinuity is the right condition for topological equivalence (homeomorphism): if continuity of the inverse isn’t required, then a circle could be equivalent to a line (.99999 and 0 would be neighbours) — Minute 8 or so.
  • Geometric construction (no complex numbers) of the circle group.
  • Pappos’ theorem. (Minute 31)
  • Pascal’s theorem.
  • Desargues’ theorem.
Hat tip to +Ozymandias Haynes.