Journal for geometry and graphics, Tome 4 (2000) no. 2, pp. 147-158
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O. Mermoud; M. Steiner. Visualisation of Configuration Spaces of Polygonal Linkages. Journal for geometry and graphics, Tome 4 (2000) no. 2, pp. 147-158. http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a4/
@article{JGG_2000_4_2_a4,
author = {O. Mermoud and M. Steiner},
title = {Visualisation of {Configuration} {Spaces} of {Polygonal} {Linkages}},
journal = {Journal for geometry and graphics},
pages = {147--158},
year = {2000},
volume = {4},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a4/}
}
TY - JOUR
AU - O. Mermoud
AU - M. Steiner
TI - Visualisation of Configuration Spaces of Polygonal Linkages
JO - Journal for geometry and graphics
PY - 2000
SP - 147
EP - 158
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a4/
ID - JGG_2000_4_2_a4
ER -
%0 Journal Article
%A O. Mermoud
%A M. Steiner
%T Visualisation of Configuration Spaces of Polygonal Linkages
%J Journal for geometry and graphics
%D 2000
%P 147-158
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a4/
%F JGG_2000_4_2_a4
Using Morse theory, the configuration space of a 4-gonal (respectively 5-gonal) linkage in the plane or on the unit-sphere can be visualised as a curve in [0, 2p] ́ [0, 2p] (respectively as a surface in [0, 2p] ́ [0, 2p] ́ [0, 2p]).
