Generate Gyroid structures using Matlab (Meshlab +FreeCAD conversion)

Gyroid generation based on Matlab script. The advantage is the capability to manipulate the thickness, position and mesh density. At the end I show how the mesh is exported, and improved in Meshlab and also converted to Solid in FreeCAD. To calculate approximate volume fraction use: Solid Netwrok Vf=0.5-0.333*t Sheet network Vf=0.65*t Source DOI :10.1177/0278364920907697 The Matlab script is below: % Clear all previous commands clear all close all clc % Variables you can change SizeL = 20; %average length of RVE Def = 40; %definition % Variables you shouldn´t change SFact = (SizeL/2)/pi; %size factor of RVE A = SFact*pi; %lowest and max coordinates of meshgrid D = A/Def; %definition factor % Generation of gyroids [X,Y,Z] = meshgrid(-A:D:A); %creates mesh grid % Gyroid equation OBJ = cos(X/SFact).* sin(Y/SFact) + cos(Y/SFact).* sin(Z/SFact)... + cos(Z/SFact).* sin(X/SFact)+(0); T = 0.5; OBJ = (OBJ-T).*(OBJ+T); % Isosurface and isocap [F1,V1] = isosurface(X,Y,Z,OBJ,0); [F2,V2] = isocaps(X,Y,Z,OBJ,0,'below'); %Combines isosurface and isocaps into one F3 = [F1;F2+length(V1(:,1))]; V3 = [V1;V2]; % Visualization P = patch('Vertices',V3,'Faces',F3,'FaceColor', ... 'red','EdgeColor','none'); view(3) camlight % STL export of independet files per gyroid. % Change current file path with desired file path. stlwrite(['C:\...filepath...\G1-T05' num2str(1) '.stl'],F3,V3); %Visualization axis equal