Geodesic
A partition of the unit sphere into regions of equal area and small diameter
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 309-327.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The recursive zonal equal area sphere partitioning algorithm is a practical algorithm for partitioning higher dimensional spheres into regions of equal area and small diameter. This paper describes the partition algorithm and its implementation in Matlab, provides numerical results and gives a sketch of the proof of the bounds on the diameter of regions. A companion paper gives details of the proof.
Classification : 11K38, 31-04, 51M15, 52C99, 74G65
Keywords: sphere, partition, area, diameter, zone 
@article{ETNA_2006__25__a11,
     author = {Leopardi, Paul},
     title = {A partition of the unit sphere into regions of equal area and small diameter},
     journal = {Electronic transactions on numerical analysis},
     pages = {309--327},
     publisher = {mathdoc},
     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/}
}
TY  - JOUR
AU  - Leopardi, Paul
TI  - A partition of the unit sphere into regions of equal area and small diameter
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 309
EP  - 327
VL  - 25
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/
LA  - en
ID  - ETNA_2006__25__a11
ER  - 
%0 Journal Article
%A Leopardi, Paul
%T A partition of the unit sphere into regions of equal area and small diameter
%J Electronic transactions on numerical analysis
%D 2006
%P 309-327
%V 25
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/
%G en
%F ETNA_2006__25__a11
Leopardi, Paul. A partition of the unit sphere into regions of equal area and small diameter. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 309-327. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/