Index of the usphere module
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m
base.geometry_complex.usphere
...
- objects of the Riemann (origin centered unit) sphere
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m
upoints
...
- objects representing a point on the (origin centered unit) Riemann sphere
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m
u_points
...
- points fixed or determined on the Riemann sphere
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f
uPoint
...
- factory function returns instance of a class
representing fixed or determmined points of the Riemann sphere
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C
uAntiPodal
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- point of the Riemann sphere antipodal to the given point of the sphere
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C
z_to_uPoint
...
- point of the Riemann sphere stereographically projected
from the given point of the complex plane
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C
uInversePoint
...
- point of the Riemann sphere inverse to the given point of the sphere with
respect to the given spheric section of the sphere
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C
uCircumPoint
...
- point of a spheric section of the Riemann sphere
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C
uPolarPoint
...
- point of the Riemann sphere at the given spherical
coordinates, in radians
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m
u_sliders
...
- points pickable and movable constrained to the Riemann sphere or an object
on the sphere
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f
uSlider
...
- factory function returns instance of a class representing points of the Riemann sphere
that can be picked and moved on the sphere or constrained to an object on the sphere.
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C
uSphereSlider
...
- point of the Riemann sphere that can be picked and moved
constrained to the sphere and with initial position at the given
spherical coordinates, in radians
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C
uCircleSlider
...
- point of the given spheric section of the Riemann sphere that can
be picked and moved constrained to the spheric section , with its initial position
determined by optinal float argument, in radians
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m
u_anipoints
...
- points which move on the Riemann sphere or an object on the sphere
at each update cycle
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f
uAniPoint
...
- factory function returns instance of a class represetning a point which moves in relation
to a given geometric object of the Riemann sphere at each update cyle
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C
uSpiral
...
- point of the Riemann sphere that moves as a spiral on the sphere from
its initial point to its antipodal point, with the initial point determined
by given polar coordinates, in radians
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C
uCirclingPoint
...
- point of the given spheric section of the Riemann sphere that moves
along the spheric section at each update, with its initial position
determined by optinal float argument, in radians
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m
u_circles
...
- spheric section of the Riemann sphere
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f
uCircle
...
- factory function returns instance of a class representing a spheric
section of the Riemann sphere
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C
uPolarCircle
...
- spheric section of Riemann sphere cut by the plane
polar to the given point with respect to Riemann sphere
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C
uSphereSlice
...
- spheric section of Riemann sphere cut by the plane
polar to the given point with respect to Riemann sphere
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C
z_to_uCircle
...
- spheric section of the Riemann sphere stereographically projected from the
given circle of the complex plane
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C
uCircumCircle
...
- spheric section of the Riemann sphere through 3 given points on the sphere
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C
uCircleFromNormal
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- spheric section of the Riemann sphere cut by the plane
at the initial point argument and normal to the direction determined
by the given 2 point
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m
u_circlepencils
...
- array of spheric sections of the Riemann sphere
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f
uCirclePencil
...
- factory' function returns instance of a class representing an
array of spheric sections of the Riemann sphere
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C
z_to_uCirclePencil
...
- array of spheric sections of the Riemann sphere formed by the stereographic projection
to the sphere of an array of circles of the complex plane
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C
uSphereSlices
...
- array of spheric sections of the Riemann sphere formed by the intersection of
planes of the given plane array with the Riemann sphere
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m
u_transforms
...
- projection to the Riemann sphere of objects of the complex plane
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f
uTransform
...
- factory function returns instance of a class representing a projection
from the complex plane to the Riemann sphere
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C
uStereoProject
...
- stereographic projection to the Riemann sphere of given list of objects of the complex plane
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m
u_spheres
...
- sphere objects for reference drawing in connection with complex plane
projection and inversion
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C
uSphere
...
- the origin centered sphere of unit radius representing the Riemann sphere
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C
kSphere
...
- a sphere of radius sqrt(2) centered at vector(0,0,1)
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m
r_points
...
- points of real 3d space with drawing defaults scaled to work with Riemann
sphere constructions
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C
rFreePoint
...
- point of 3d space at initial x,y,z which can picked and moved
freely in space with default drawing size scaled to work
with Riemann sphere
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C
rPoint
...
- point of 3d space at fixed x,y,z coordinates with default drawing size scaled
to work with Riemann sphere
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C
rPole
...
- point determined as pole of the plane of the given spheric section of Riemann sphere
with respect to the Riemann sphere
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m
r_lines
...
- lines of real 3d space with drawing defaults scaled to work with Riemann
sphere constructions
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C
rLine
...
- line of 3d space through given two points, with drawing scaled to work with
Riemann sphere