Six Regular 4-Dimensional Polytopes
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Theorem
There exist exactly six $4$-dimensional regular polytopes:
- the pentatope (also known as the $4$-simplex)
- the tesseract
- the $16$-cell
- the $24$-cell
- the $120$-cell
- the $600$-cell
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $6$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $6$