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Journal for Geometry and Graphics, Vol. 1, No. 2, pp. 157 - 167 (1997)
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#
(n,2)-Axonometries and the Contour of Hyperspheres

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Gunter Weiss

Institute for Geometry, Dresden University of Technology,

Zellescher Weg 12-14, D-01062 Dresden, Germany

email: weiss@math.tu-dresden.de

**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

**Full text of the article:**

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