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sph_saff - spiral points on a sphere (Saff and Kuiljaars)
sph_saff [options] num_points
Distribute a number of points on a sphere using the algorithm
from "Distributing many points on a sphere" by E.B. Saff and
A.B.J. Kuijlaars, Mathematical Intelligencer 19.1 (1997) 5--11.
- num_points
- The number of points to spiral on the sphere
- -h
- program help
- -a <ang>
- increment each point placement by a fixed angle instead of using
Saff and Kuiljaars' placement method
- -p
- place points at the two poles
- -o <file>
- write output to file, if this option is not used
the program writes to standard output
Distribute 200 points on a sphere
sph_saff 200 | antiview -v b
Distribute 200 points on a sphere, start at the poles
sph_saff -p 200 | antiview -v b
Distribute 200 points on a sphere, using a golden section offset
sph_saff -a 222.49223595 200 | antiview -v b
An attractive spiral
sph_saff -a 65 500 | antiview -v b
An implementation of an
"Easy method for a fairly good point distribution [Saff/Kuijlaars]"
Anton Sherwood helped with
details of the algorithm. The angle offset option uses
his method for
spirals based on the
golden ratio.
The output can be run through conv_hull to create a polyhedron.
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Programs and Documentation
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repel - equilibrium of points repelling on a sphere
Antiprism Documentation 21.11.2007 -
http://www.antiprism.com/