Abstract This paper investigates the role of primary plane figures, solids, and geometric operations in Mario Botta’s architectural works during fifty years his career. Through selection three case studies, research allows creative process to be discretized analyzed from a geometric-mathematical point view.

Rock fragmentation is one of the desired results of rock blasting. So, controlling and predicting it, has direct effects on operational costs of mining. There are different ways that could be used to predict the size distribution of fragmented rocks. Mathematical relations have been widely used in these predictions. From among three proposed mathematical relations, one was selected in this stud...

a gas permeation model (coupling model) has been developed which has the flexibility to be used for different membrane module configurations. the aim of this work is to predict the performance of a single stage gas separation process using membranes and provide a comprehensive description of process parameters like flow rates, composition, stage cut and stream pressure. the significant feature ...

Geometric Algebra is a very general mathematical system providing simultaneously a geometrification of algebra, and also an algebrification of geometry. As an example, we present a specific Geometric Algebra, that we call Compass Ruler Algebra, which is very well suited to compute similar to working with compass and ruler. Geometric objects such as circles and lines as well as geometric operati...

The object of the research is a wave gear with cam generator. One requirements for gears to increase wear resistance teeth flanks. A mathematical model that makes it possible assess influence geometrical parameters on proposed in this work. To specified effect, maximum and average coefficients are introduced. calculate these coefficients, spatial used, taking into account volumetric contact def...

I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular, I provide a quite general list of 'plastic strain variables', which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline ma...

Presents a methodology to derive a natural time base using a geometric-arithmetic relationship keyed to a right triangle and based upon mathematical and physical constants.