Journal for Geometry and Graphics, Vol. 1, No. 2, pp. 157 - 167 (1997)

(n,2)-Axonometries and the Contour of Hyperspheres

Gunter Weiss

Institute for Geometry, Dresden University of Technology,
Zellescher Weg 12-14, D-01062 Dresden, Germany

Abstract: 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.

Keywords: multi-dimensional descriptive geometry, axonometric mappings

Classification (MSC2000): 51N05; 51N20

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