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Applying Voronoi Structures to Artefacts for Style and Strength

  • Guruprasad Kuppu RaoEmail author
  • Shubham Vishwakarma
  • Shubham Saxena
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 134)

Abstract

Voronoi patterns are widely found in nature. These can be very easily seen in a leaf of plant, skin of giraffe, wing of butterfly, etc. Voronoi patterns give clue about nature’s tendency to favor efficiency in terms of nearest neighbor, shortest path, and tightest fit. Voronoi pattern helps in partitioning of a plane containing “n” points, into convex polygons such that each polygon contains exactly one generating point; Any point taken in a given polygon is closer to its generating point than to any other. There are many application of voronoi patterns such as city planning, airports, large office spaces, etc. Additive manufacturing gives freedom to make impossible structure without incurring any additional cost in manufacturing. Voronoi structures are one of those impossible 3D structures which can take advantage of additive manufacturing. Voronoi patterns offer high strength to weight ratio as required in any airborne system. This study focuses on understanding and applying voronoi patterns. Our method involves the use of MATLAB to create 2D Voronoi and then with help of Rhinoceros software 2D to 3D conversion is made. The models were tested for strength using FEA methods and were found sound for applied load conditions.

Keywords

Voronoi diagram Delaunay Triangulation Voronoi structure 3D printing Additive manufacturing 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Guruprasad Kuppu Rao
    • 1
    Email author
  • Shubham Vishwakarma
    • 1
  • Shubham Saxena
    • 1
  1. 1.Imaginarium India Pvt. Ltd.MumbaiIndia

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