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): $8$