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The red curve is a cubic Bézier using
{ P1, P2, P2, P3 }
The green curve is a cubic Bézier using
{ P1, P2 * 2/3 + P1 / 3, P2 * 2/3 + P3 / 3, P3 }
The blue curve is an actual quadratic Bézier using
{ P1, P2, P3 }
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