Journal for geometry and graphics, Tome 4 (2000) no. 2, pp. 159-168
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H. Stachel. Flexible Cross-Polytopes in the Euclidean 4-Space. Journal for geometry and graphics, Tome 4 (2000) no. 2, pp. 159-168. http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a5/
@article{JGG_2000_4_2_a5,
author = {H. Stachel},
title = {Flexible {Cross-Polytopes} in the {Euclidean} {4-Space}},
journal = {Journal for geometry and graphics},
pages = {159--168},
year = {2000},
volume = {4},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a5/}
}
TY - JOUR
AU - H. Stachel
TI - Flexible Cross-Polytopes in the Euclidean 4-Space
JO - Journal for geometry and graphics
PY - 2000
SP - 159
EP - 168
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a5/
ID - JGG_2000_4_2_a5
ER -
%0 Journal Article
%A H. Stachel
%T Flexible Cross-Polytopes in the Euclidean 4-Space
%J Journal for geometry and graphics
%D 2000
%P 159-168
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2000_4_2_a5/
%F JGG_2000_4_2_a5
It is shown that the examples presented 1998 by A. Walz are special cases of a more general class of flexible cross-polytopes in E4. The proof is given by means of 4D descriptive geometry. Further, a parameterization of the one-parameter self-motions of Walz's polytopes is presented.