Conformal Face Mapping

This page is a sub-page of our page on Art.

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Related pages:

Complex Numbers
Conformal Mapping

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Squaring the grid creates confocal parabolas:
Squaring a quadratic grid creates confocal parabolas

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Squaring-my-face(z^2):
Squaring-my-face(z^2)

Squaring (z’=z^2) my face (cropped):
Squaring (z'=z^2) my face (cropped)

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Inverting-my-face(2/z_conjugate):
Inverting-my-face(2:z_conjugate)

Inverting-my-face(2/z_conjugate)(cropped):
Inverting-my-face(2:z_conjugate)(cropped)

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Sinusing-my-face(sinz)1:
Sinusing-my-face(sinz)1

Sinusing-my-face(sinz)1(cropped):
Sinusing-my-face(sinz)1(cropped)

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Sinusing-my-face [z' = sinz]2:
Sinusing-my-face(sinz)2

Sinusing-my-face [z' = sinz] 2(cropped):
Sinusing-my-face(sinz)2(cropped)

Sinusing the grid [z'=sin(1.25iz)]:
Sinusing (z'=sin(1.25iz) a quadratic grid

Sinusing my face with the grid [z'=sin(1.25iz)]:
Sinusing (z'=sin(iz) my face (with grid)

Sinusing my face with the grid [z'=sin(z+P+(nπ/2)(ReP)), P=1+i)]:

Sinusing the grid [z´= sin((0.5+i)z)]:
Sinusing (z´= sin((0.5+i)z) a quadratic grid

Sinusing my face with the grid [z'=sin((0.5+i)z)]:
Sinusing (z´= sin((0.5+i)z) my face (with grid)

Sinusing the grid [z'=sin(Pz), P= circle on (2, 0) with radius 1/2]:

Sinusing my face with the grid [z'=sin(Pz), P= circle on (2, 0) with radius 1/2]:

Sinusing my face with the grid [z'=sin(Pz), P= circle on (2, 0) radius 1/2] 2:

Sinusing my face [z' = sin((1+i)z)] :
Sinusing (z'=sin(1+i)z) my face (with grid)

Sinusing my face with the grid [z'=sin(z(P+(nπ/2)(ReP)))), P=1+i]:

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