Jacobi elliptic functions
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In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as well as in the design of electronic elliptic filt
Model of the Jacobi amplitude (measured along vertical axis) as a function of independent variables u and the modulus k
The region F1 for modular inversion
The Peirce quincuncial projection is the conformal map projection from the sphere to an unfolded square dihedron, developed by Charles Sanders Peirce in 1877. Each octant projects onto an isosceles ri
Jacobi elliptic functions
…arcdn ( x , m ) = ∫ x 1 d t ( 1 − t 2 ) ( t 2 + m − 1 ) The Peirce quincuncial projection is a map projection based on Jacobian elliptic functions. Elliptic curve…
Using the Peirce quincuncial projection to present a spherical panorama.
"The World on a Quincuncial Projection", from Peirce (1879) "A Quincuncial Projection of the Sphere". American Journal of Mathematics, 2 (4): 394–397