(n,2)-Axonometries and the Contour of Hyperspheres
Journal for geometry and graphics, Tome 1 (1997) no. 2, pp. 157-168
Cet article a éte moissonné depuis la source Heldermann Verlag
The paper deals with special axonometric mappings of an n-dimensional Euclidean space onto a plane $\pi'$. Such an (n,2)-axonometry is given by the image of a cartesian n-frame in $\pi'$ and it is especially an isocline or orthographic axonometry, if the contour of a hypershere is a circle in $\pi'$. The paper discusses conditions under which the image of the cartesian n-frame defines an orthographic axonometry. Also a recursive construction of the hypersphere-contour in case of an arbitrary given oblique axonometry is presented.
@article{JGG_1997_1_2_a5,
author = {G. Weiss},
title = {(n,2)-Axonometries and the {Contour} of {Hyperspheres}},
journal = {Journal for geometry and graphics},
pages = {157--168},
year = {1997},
volume = {1},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_1997_1_2_a5/}
}
G. Weiss. (n,2)-Axonometries and the Contour of Hyperspheres. Journal for geometry and graphics, Tome 1 (1997) no. 2, pp. 157-168. http://geodesic.mathdoc.fr/item/JGG_1997_1_2_a5/