Mathematical Relations for Harmonization with Technical and Decorative Casting Nature

Volodymyr Doroshenko, Olena Mul, Olena Kravchenko


We have considered optimization of 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 mould ‒ with metal. A metal saving method is proposed and an overview of publications on technical castings design according to this method is presented. The examples of decorative castings are shown, 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).


Casting design, metal saving, lightweight casting, lost foam casting, decorative articles, the golden ratio, Fibonacci numbers.

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DOI: 10.7250/bfpcs.2016.007


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