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  • $\begingroup$ Do you want it like the one shown in the middle screenshot, the pentagram built from the center points of the outer edges? Then try Harry's answer. Or should the faces be like in your first screenshot, the pentagram just built from the corner vertices and holes inbetween? $\endgroup$ Commented Aug 2, 2023 at 6:49
  • $\begingroup$ I updated the title to Dodecahedron so as to not confuse search results, because that's not a geodesic dome afaik $\endgroup$
    – Harry McKenzie
    Commented Aug 2, 2023 at 6:58
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    $\begingroup$ @HarryMcKenzie The term dodecahedron simply means, it's a polyhedron with exactly 12 faces. In this case a regular dodecahedron is what we want (all faces are the same). And actually, what you get when adding a Geodesic Dome in Blender is not a geodesic dome either, because a geodesic dome is a hemispherical architectural structure. Adding a Geodesic Dome adds a geodesic polyhedron, which consists of tris. However, in geometry every polyhedron is associated with a dual structure, where vertices of one correspond to faces of the other and the edges correspond to each other. $\endgroup$ Commented Aug 2, 2023 at 9:40
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    $\begingroup$ And the regular dodecahedron is the dual polyhedron to the regular icosahedron, which means you can simply create a regular dodecahedron in Blender by adding a Geodesic Dome set to Class 1, Hedron: Icosahedron, Shape: tri, Frequency: 1 and the Dual option enabled. Regular dodecahedron from Geodesic Dome $\endgroup$ Commented Aug 2, 2023 at 9:45
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    $\begingroup$ @HarryMcKenzie Yeah, well sometimes I'm sorry for being a math nerd :D $\endgroup$ Commented Aug 2, 2023 at 9:59