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Egg

https://scipython.com/blog/a-universal-formula-for-egg-shape/
The "universal" formula for an egg, from Narushin et al., "Egg and math:
introducing a universal formula for egg shape", *Ann. N.Y. Acad. Sci.*,
**1505**, 169 (2021).
x should vary between -L/2 and L/2 where L is the length of the egg; B
is the maximum breadth of the egg; w is the distance between two vertical
lines corresponding to the maximum breadth and y-axis (with the origin
taken to be at the centre of the egg); D is the egg diameter at the point
a distance L/4 from the pointed end.

Inputs

NameIDDescriptionType
LengthLEgg lengthNumber
BreadthBMaximum breadthNumber
ShiftSShift of the vertical axisNumber
DiameterDDiameter at one quarter of the egg lengthNumber
CountNCurve points countInteger

Outputs

NameIDDescriptionType
CurveCEgg curve profileGoo
EggEEgg shapeGoo
LinesLEgg linesGoo

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