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  • A triangular prism, a triangle base and three triangular faces (a tetrahedron)

The figures below do not strictly have a "base" but they are composed entirely of triangles

  • An octohedron (eight sides)
  • An isocahedron (20 identical equilateral triangular faces, 30 edges and 12 vertices)
  • Any of a number of deformations of the above
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Q: What shape can have a triangular base and triangular faces?
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