These are all the convex polyhedra made from equilateral triangles:

- 4 sides: tetrahedron
- 6 sides: triangular dipyramid (J12) (glue two tetrahedra together)
- 8 sides: octahedron
- 10 sides: pentagonal dipyramid (J13) (glue two pentagonal pyramids together)
- 12 sides: snub disphenoid (J84) (split a tetrahedron into two wedges and join them with a band of eight triangles.)
- 14 sides: triaugmented triangular prism (J51) (attach three square pyramids to a triangular prism).
- 16 sides: gyroelongated square dipyramid (J17) (attach two square pyramids to a square antiprism)
- 20 sides: icosahedron