Open AccessGenerative design of biosimilar structures
Author(s) -
Ivan V. Stepanyan
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/747/1/012077
Subject(s) - euclidean geometry , hypercomplex number , simplicity , generative grammar , computer science , structuring , algorithm , mathematics , theoretical computer science , algebra over a field , artificial intelligence , geometry , pure mathematics , quaternion , philosophy , epistemology , finance , economics
The article discusses ideas at the junction of various paradigms for the synthesis of new structures and shapes, where part of the calculation processes is based on computer technology using non-Euclidean geometry. Algorithms for generating bio-similar surfaces, parts, and textures that can be used in industry, in particular in additive technologies are given. The article has the descriptions of equations based on hyper-complex systems and conditions of the analyticity of functions. The algorithms for generating biosimilar surfaces can be used in generative design. While determining the parameters of hypercomplex systems and assessing the mechanical characteristics of the final products require additional research, the relative simplicity of mathematical algorithms for generating structures and shapes with non-Euclidean geometry opens up the possibility of applying the proposed method in various fields.