Geodesic
An Investigation of an Octahedral Platform Using Equiform Motions
Journal for geometry and graphics, Tome 8 (2004) no. 1, pp. 33-39 Cet article a éte moissonné depuis la source Heldermann Verlag

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We investigate motions of the 7-parameter group of equiform transformations with the property that three points move on three circles with axes in one plane. We give an algorithm to find the corresponding one-parametric motion. It can be displayed as a curve in the space of motion parameters. As in general there seems to be no global parametrization of this curve, we give a local one up to the second order. An example demonstrates the effciency of the presented method.
Classification : 53A17
Mots-clés : Parallel manipulator, equiform motion, flexible octahedra 
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     author = {F. M. Hamdoon and N. H. Abdel-All },
     title = {An {Investigation} of an {Octahedral} {Platform} {Using} {Equiform} {Motions}},
     journal = {Journal for geometry and graphics},
     pages = {33--39},
     year = {2004},
     volume = {8},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2004_8_1_JGG_2004_8_1_a3/}
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F. M. Hamdoon; N. H. Abdel-All . An Investigation of an Octahedral Platform Using Equiform Motions. Journal for geometry and graphics, Tome 8 (2004) no. 1, pp. 33-39. http://geodesic.mathdoc.fr/item/JGG_2004_8_1_JGG_2004_8_1_a3/