Beveling and/or extruding vertices of an Icosahedron primitive can get you some pretty cool patterns:

Instructions for the above:

1. Get, Primitive->Polygon Mesh->Icosahedron
2. Play with the Geodesic Frequency slider to get the desired subdivision level. (6 for example.)
3. Tag all points, rightclick -> Bevel Components.
4. Play with the Bevel Distance. (Looks decent around 0.85 for me.)

More patterns from playing with different settings:

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