Packing Fraction of an Infinite Plane using Identical Circles

The maximum possible packing fraction of an infinite plane using identical circles of finite a radius is π√3/6≈ 90.69%.

Published by Harish Chandra Rajpoot

He is studying for a PhD at Indian Institute of Technology Bombay. He received Master's degree (Hons) in Production Engineering from Indian Institute of Technology Delhi. He received Bachelor's degree (Hons) in Mechanical Engineering from M.M.M. Engineering College Gorakhpur (UP), India. He has passion for Mathematics specifically Geometry, Trigonometry, Algebra and Photometry in Mathematical Physics. He made independent researches in Mathematics over three years and proposed 'Theory of Polygon' for solid angle. He derived numerous formula & results and made remarkable contribution to Mathematics specifically Geometry. His areas of interest in Production Engineering are Laser Material Processing, Laser Machining, Smart Manufacturing, Modeling and Simulation in Manufacturing.

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