Collection of explicitly constructed meshes

# meshzoo When generating meshes for FEM/FVM computations, sometimes your geometry is so simple that you don't need a complex mesh generator (like pygmsh, MeshPy, mshr, pygalmesh, dmsh), but something simple and fast that makes use of the structure of the domain. Enter meshzoo.

### Examples

#### Triangle import meshzoo

bary, cells = meshzoo.triangle(8)

# corners = numpy.array(
#     [
#         [0.0, -0.5 * numpy.sqrt(3.0), +0.5 * numpy.sqrt(3.0)],
#         [1.0, -0.5, -0.5],
#     ]
# )
# points = numpy.dot(corners, bary).T

# Process the mesh, e.g., write it to a file using meshio
# meshio.write_points_cells("triangle.vtk", points, {"triangle": cells})


#### Rectangle  import meshzoo
import numpy as np

points, cells = meshzoo.rectangle_tri(
np.linspace(0.0, 1.0, 11),
np.linspace(0.0, 1.0, 11),
variant="zigzag",  # or "up", "down", "center"
)

points, cells = meshzoo.rectangle_quad(
np.linspace(0.0, 1.0, 11),
np.linspace(0.0, 1.0, 11),
)


#### Regular polygon   meshzoo.ngon(4, 8) meshzoo.ngon(6, 8) meshzoo.ngon(9, 8)
import meshzoo

points, cells = meshzoo.ngon(5, 11)


#### Disk   meshzoo.disk(4, 8) meshzoo.disk(6, 8) meshzoo.disk(9, 8)

The disk meshes are inflations of regular polygons.

import meshzoo

points, cells = meshzoo.disk(6, 11)



#### Möbius strip import meshzoo

points, cells = meshzoo.moebius(num_twists=1, nl=60, nw=11)


#### Sphere (surface)  import meshzoo

points, cells = meshzoo.uv_sphere(num_points_per_circle=20, num_circles=10, radius=1.0)
points, tri, quad = meshzoo.geo_sphere(
)


Spheres can also be generated by refining the faces of platonic solids and then "inflating" them. meshzoo implements a few of them. The sphere generated from the icosahedron has the highest-quality (most equilateral) triangles.

All cells are oriented such that its normals point outwards.   meshzoo.tetra_sphere(10) meshzoo.octa_sphere(10) meshzoo.icosa_sphere(10)

#### Ball (solid)  import meshzoo

points, cells = meshzoo.ball_tetra(10)
points, cells = meshzoo.ball_hexa(10)


#### Tube import meshzoo

points, cells = meshzoo.tube(length=1.0, radius=1.0, n=30)


#### Cube  import meshzoo
import numpy as np

points, cells = meshzoo.cube_tetra(
np.linspace(0.0, 1.0, 11), np.linspace(0.0, 1.0, 11), np.linspace(0.0, 1.0, 11)
)
points, cells = meshzoo.cube_hexa(
np.linspace(0.0, 1.0, 11), np.linspace(0.0, 1.0, 11), np.linspace(0.0, 1.0, 11)
)


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