Mathematical Relations for Harmonization with Technical and Decorative Casting Nature

Abstract

Abstract: We consider the optimization of the casting design in the concept of its interaction with two fluid technological mediums, namely, the interaction of its pattern with a sandy medium and the mold - with a metal. Copying observed in nature structures in metal is proposed as a metal saving method as well as an overview of the publications on the technical castings design according to this method is done. There are shown the examples of decorative castings, in the design of which the laws of the golden ratio and Fibonacci numbers are reflected, as well as castings, produced at the Physico-Technological Institute of Metals and Alloys (Kyiv, Ukraine).