Visualization of spheres in the generalized Hahn space


Vesna I Veličković, Edin Dolićanin




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.