The paper presents the response of two geodesic domes under seismic excitations. The
structures subjected to seismic analysis were created by two different methods of …

This paper presents two methods of shaping the mesh topology of lightweight structures as
spherical domes. The two given methods of dividing the initial face of the polyhedra …

Goldberg polyhedra have been widely studied across multiple fields, as their distinctive
pattern can lead to many useful applications. Their topology can be determined using …

The paper presents the topological–geometric analysis of a selected number of space
frames configurations for geodesic domes which are generated from the regular octahedron …

Microphone arrays of various sizes and shapes are widely employed in consumer
electronics devices such as smart speakers, speakerphones, smart TVs, smartphones, PCs …

Volume of geometric objects plays an important role in applied and theoretical mathematics.
This is particularly true in the relatively new branch of discrete geometry, where volume is …

We prove the theorem mentioned in the title for ℝ n where n≧ 3. The case of the simplex
was known previously. Also the case n= 2 was settled, but there the infimum was some well …

We prove that maximum sphericity for polyhedra with $ n $ faces is at least $1-\frac {5\sqrt
{3} π}{27n}-O (n^{-3/2}) $, and conjecture it to be $1-\frac {5\sqrt 3 π}{27n}-C_1 n …

Emerging spatial audio technologies require immersive acoustic and audio quality.
Microphone arrays are key factors in the spatial audio ecosystem, being able to capture …

The subject of the dissertation is to investigate fundamental mechanical problems in the
topology optimization field considering real engineering features. This research work …