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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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    $\begingroup$ If you look at these google image results, you will see that it is simply two pyramids joined at the base. $\endgroup$ – VRM Jun 13 '15 at 15:54
  • $\begingroup$ I know, but I don't want to join two objects, because I've had a lot of problems with that in the past. $\endgroup$ – Nefer007 Jun 13 '15 at 15:59
  • $\begingroup$ You can add a cube, go into edit mode, add a loop cut (ctrl+r), and merge the top and bottom faces into one vertex. I can post an answer $\endgroup$ – VRM Jun 13 '15 at 16:00
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    $\begingroup$ A cube balancing on one point is still a cube and it still only has six faces. $\endgroup$ – David Richerby Jun 13 '15 at 16:47
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    $\begingroup$ @Denis Yes, and a cube has six four-sided faces. But the question header asks for an eight-sided die and then says, "Simply put, is there a way to make a cube balance solely on one point/vertex?" I'm pointing out that a cube balancing on one of its vertices is not a simple eight-sided die because it still has the same six sides it had when it wasn't balancing on a point. $\endgroup$ – David Richerby Jun 13 '15 at 19:09
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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).

EightSidedDie GIF

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    $\begingroup$ The precise Z axis scaling factor you need, in order to get a perfectly symmetrical octahedron with this method, is sqrt(2) ≈ 1.4142. $\endgroup$ – Ilmari Karonen Jun 13 '15 at 21:11
  • $\begingroup$ @IlmariKaronen Exactly. I think I accidentally used 2 in my GIF example, thus the scaling $\endgroup$ – VRM Jun 13 '15 at 22:03
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In user preferences (ctrlaltu) go to "Addons" and enable "Add Mesh:Extra Objects".

enter image description here

Back on the 3D viewport press ShiftA Add->Mesh->Math Function-> Solid

and select Octahedron from the toolbar.

enter image description here

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    $\begingroup$ lol, straight to the goal, i like it $\endgroup$ – Scalia Jun 13 '15 at 22:37
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You can create an Octahedron from a cube, that is its dual polyhedron:

  1. Add a new cube, then in edit mode select all using A button.
  2. Hit Ctrl+B, input value 1 and hit Enter.
  3. Hit Ctrl+V and select Remove Doubles.
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    $\begingroup$ Thanks! That's quite useful if you just want an even octahedron $\endgroup$ – Nefer007 Jun 13 '15 at 16:16
  • $\begingroup$ Wow!!! Ultra fast method! $\endgroup$ – Paul Gonet Jun 13 '15 at 16:48

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