This is a short, animated visual proof demonstrating Jordan’s inequality, which is an equality providing upper and lower bounds for the sine function over the interval [0, pi/2].

Jordan’s Inequality Visual Proof

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Jordan's Inequality Visual Proof

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Pentagonal Chaos Game

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Consecutive Squares as Up/Down Sum of Odds

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This video shows six different methods of creating the Sierpiński triangle including removing triangles, the chaos game, Pascal’s triangle mod 2, the bitwise dominance order, a ternary branching tree, and the arrowhead construction.

Six Sierpiński Triangle Constructions (visual mathematics)

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Six Sierpiński Triangle Constructions (visual mathematics)

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