HoneyTop90: A 90-line MATLAB code for topology optimization using honeycomb tessellation

This paper provides a simple, compact and efficient 90-line pedagogical MATLAB code for topology optimization using hexagonal elements (honeycomb tessellation). Hexagonal provide nonsingular connectivity between two juxtaposed and, thus, subdue checkerboard patterns point connections inherently from the optimized designs. A novel approach to generate honeycomb tessellation is proposed. The element matrix corresponding nodal coordinates array are determined in 5 (7) 4 (6) lines, respectively. Two additional lines meshgrid generation required an even number of vertical direction. takes fraction second information millions elements. Wachspress shape functions employed finite analysis, compliance minimization performed optimality criteria method. provided Matlab its extensions explained detail. Options run with without filtering techniques provided. Steps include different boundary conditions, multiple load cases, active passive regions, Heaviside projection filter also discussed. Appendix~A, it can be downloaded along supplementary materials \url{https://github.com/PrabhatIn/HoneyTop90}.