Visualization of Spheres in the Generalized Hahn Space
Abstract
We introduce the generalized Hahn space $h_{d}(p)$, which is not
normable, and show that it is a totally paranormed space.
We develop the parametric representation of parts of
spheres in three--dimensional space endowed with the relative
paranorm of $h_{d}(p)$ and solve the visibility and contour
problems for these spheres.
Also we apply our own software in line graphics to visualize the shapes of
parts of these spheres. Finally we demonstrate the effects of the change
of the parameters $d$ and $p$ on the shape of the spheres.
normable, and show that it is a totally paranormed space.
We develop the parametric representation of parts of
spheres in three--dimensional space endowed with the relative
paranorm of $h_{d}(p)$ and solve the visibility and contour
problems for these spheres.
Also we apply our own software in line graphics to visualize the shapes of
parts of these spheres. Finally we demonstrate the effects of the change
of the parameters $d$ and $p$ on the shape of the spheres.
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