Journal for geometry and graphics, Tome 6 (2002) no. 1, pp. 001-016
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L. Acs; E. Molnar. Algorithm for D-V Cells and Fundamental Domains, E4 Space Groups with Broken Translations in the Icosahedral Family. Journal for geometry and graphics, Tome 6 (2002) no. 1, pp. 001-016. http://geodesic.mathdoc.fr/item/JGG_2002_6_1_a0/
@article{JGG_2002_6_1_a0,
author = {L. Acs and E. Molnar},
title = {Algorithm for {D-V} {Cells} and {Fundamental} {Domains,} {E\protect\textsuperscript{4}} {Space} {Groups} with {Broken} {Translations} in the {Icosahedral} {Family}},
journal = {Journal for geometry and graphics},
pages = {001--016},
year = {2002},
volume = {6},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2002_6_1_a0/}
}
TY - JOUR
AU - L. Acs
AU - E. Molnar
TI - Algorithm for D-V Cells and Fundamental Domains, E4 Space Groups with Broken Translations in the Icosahedral Family
JO - Journal for geometry and graphics
PY - 2002
SP - 001
EP - 016
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/JGG_2002_6_1_a0/
ID - JGG_2002_6_1_a0
ER -
%0 Journal Article
%A L. Acs
%A E. Molnar
%T Algorithm for D-V Cells and Fundamental Domains, E4 Space Groups with Broken Translations in the Icosahedral Family
%J Journal for geometry and graphics
%D 2002
%P 001-016
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/JGG_2002_6_1_a0/
%F JGG_2002_6_1_a0
As a continuation of our earlier work we extend our algorithm for E4-space groups in the icosahedral family, where non-lattice translations (broken translations) occur as well. So we obtain new 4-polytopes as fundamental domains from D-V cells of crystallographic orbits. We illustrate our situations by some characteristic examples. A computer program will produce further results.