Simply put, is there a way to make a cube balance solely on one point/vertex?
I'm struggling. I do not want to have to join two objects, nor have to extrude an object. I just want to have a simple eight-sided die created with one mesh.
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Start by adding a cube, entering edit mode, and scaling the whole thing on the
Z axis by
1.5 (depends on desired result). Now that you are in edit mode, press Ctrl+R and click to add a horizontal loop cut. You can now select the top and bottom faces and merge them into one vertex each to make the point (select verts/faces/edges and press Alt+M > At Center).
You can create an Octahedron from a cube, that is its dual polyhedron: