Number of Distinct Deltahedra is Unlimited

Theorem

There are an unlimited number of distinct deltahedra.


Proof

To any deltahedron, it is possible to attach a regular tetrahedron to any of its faces to create a new deltahedron with $2$ more faces.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $8$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $8$
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