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The title just about sums it up how can I sub divide an equilateral triangle into many smaller equilateral triangles. I need all of the faces to be the same size and shape. Like a 2D pyramid made of many smaller 2D pyramids.

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I could not yet figure out how to do it procedurally or in a non destructive manner. In the meantime you can easily do it by hand.

There is an addon shipped by default with Blender called Add Mesh: Extra Objects that can activated in the User Preferences dialog

Start by opening File > User Preferences > Addons then search for Extra and activate the Add Mesh: Extra Objects addon.

Then in the 3D View press Shift+A > Add > Mesh > Math Function > Regular Solid.

By default it should already create a Tetrahedron, if not just pick it from the pulldown preset menu.

The just enter Edit Mode, select all faces, press W > Subdivide. Adjust Subdivision Number from the operator properties in the Toolshelf, or pressing F6

enter image description here

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    $\begingroup$ I thought that @Kahless wanted 2D? For 2D you can add a mesh circle, set the number of vertices to 3. Go into Edit mode, select the edges, press F to create a face. Select the face and subdivide. $\endgroup$ Jun 2, 2017 at 21:30
  • $\begingroup$ Cool that sounds good I'll be sure to test that method out. But the provided solution also worked for my needs. $\endgroup$
    – Kahless
    Jun 2, 2017 at 21:52

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