+import salome
+salome.salome_init()
+
+from salome.geom import geomBuilder
+geompy = geomBuilder.New(salome.myStudy)
+
+# This script demonstrates generation of 3D mesh basing on a modified 2D mesh
+#
+# Purpose is to get a tetrahedral mesh in a sphere cut by a cube.
+# The requirement is to have a surface mesh on the cube comprised of
+# triangles of exactly the same size arranged in a grid pattern.
+#
+# To fulfill this requirement we mesh the box using Quadrangle (Mapping)
+# meshing algorithm, split quadrangles into triangles and then generate
+# tetrahedrons.
+
+
+# Make the geometry
+
+Box_1 = geompy.MakeBox(-100,-100,-100, 100, 100, 100)
+Sphere_1 = geompy.MakeSphereR( 300 )
+Cut_1 = geompy.MakeCut(Sphere_1, Box_1, theName="Cut_1")
+# get a spherical face
+Sph_Face = geompy.ExtractShapes( Sphere_1, geompy.ShapeType["FACE"] )[0]
+
+# get the shape Sph_Face turned into during MakeCut()
+Sph_Face = geompy.GetInPlace(Cut_1, Sph_Face, isNewImplementation=True, theName="Sphere_1")
+
+
+# 1) Define a mesh with 1D and 2D meshers
+
+import SMESH
+from salome.smesh import smeshBuilder
+smesh = smeshBuilder.New(salome.myStudy)
+
+Mesh_1 = smesh.Mesh(Cut_1)
+
+# "global" meshers (assigned to Cut_1) that will be used for the box
+Regular_1D = Mesh_1.Segment()
+Local_Length_1 = Regular_1D.LocalLength(20)
+Quadrangle_2D = Mesh_1.Quadrangle()
+
+# a "local" mesher (assigned to a sub-mesh on Sphere_1) to mesh the sphere
+algo_2D = Mesh_1.Triangle( smeshBuilder.NETGEN_1D2D, Sph_Face )
+algo_2D.SetMaxSize( 70. )
+algo_2D.SetFineness( smeshBuilder.Moderate )
+algo_2D.SetMinSize( 7. )
+
+# 2) Compute 2D mesh
+isDone = Mesh_1.Compute()
+
+# 3) Split quadrangles into triangles
+isDone = Mesh_1.SplitQuadObject( Mesh_1, Diag13=True )
+
+# 4) Define a 3D mesher
+Mesh_1.Tetrahedron()
+
+# 5) Compute 3D mesh
+Mesh_1.Compute()
+
+if salome.sg.hasDesktop():
+ salome.sg.updateObjBrowser(1)
