xiv aggregates: this touches on the very nature of things. The concept of statistical symmetry
which Loeb develops is particularly important, it emphasizes the limitations in seemingly …

This chapter presents two broad themes. The first is the unique non-Euclidean
characteristics of spheres and second the objectives for the orderly distributing points on a …

The tessellation of the first built geodesic dome structure (the first planetarium of Jena,
designed by Walther Bauersfeld, built 1922–23) has been unknown until recently. While …

The paper concerns shaping curvilinear steel bar structures that are hyperbolic paraboloid
canopy roofs by means of parametric design software Rhinoceros/Grasshopper and …

During the last decades, many mathematicians investigated classes of polytopes which are
determined by natural weakenings of the definitions of regular polytopes. Examples are the …

The paper addresses the problem of the efficient shaping of curved steel rod structures
conducted based on the enneper surface. The proposed parametric design process consists …

This paper outlines a unified approach for generating all three classes of geodesic domes.
The approach, which allows one method to generate configurations for all three classes, is …

In this paper a brief account is devoted to structural forms related to geodesic domes
appearance in nature. It is shown how geodesic domes helped researchers outside …

The aim of the study was to develop a practical approach to parametric shaping of spatial
steel rod structures formed based on a hyperbolic paraboloid. This design approach was …

The large areas covers may be designed as the spatial dome constructions where the basis
of their shaping are regular polyhedra. The paper presents eight new designed spatial bar …