3DXM Conformal Maps

Mobius Transformations


Complex Inversion

Mobius Transformation

(z+c)/(1/conj(c)*z)

Algebraic Functions

(Polynomials, Rationals, and their inverses)


square

square root

a*z^b+b*z

z + 1/z

Elementary Transcendental Functions

sin
sin

i*tan(i*z/2)
exp
z →e^z

log

Elliptic Functions


JD

JE

JF

WP

JacobiSn

Non-Conformal Example


z → conj(z) + a*z^2

Conformal_Maps.pdf

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We gratefully acknowledge support for the development of the 3D-XplorMath program and this website by The National Science Foundation through a CCLI Grant (DUE Award # 0514781).