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Elliptic curve y² = 4x³ - ax + 1 and its conformal neighborhood for a∈[2,4]. The curve transitions from one component to two at a=3. It is parameterized here with the elliptic functions Weierstrass ℘,℘'. The half period rectangle is shown in light red in the backgroundpic.twitter.com/H5XoDaB9eG
The conformal grid is large or small depending on the arc length velocity of the parameterization along that section of the curve. Near the pinch point the velocity approaches zero.
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