In mathematics, a quintic threefold is a 3-dimensional hypersurface of degree 5 in 4-dimensional projective space . Non-singular quintic threefolds are Calabi–Yau manifolds.
The Hodge diamond of a non-singular quintic 3-fold is
| 1 | ||||||
| 0 | 0 | |||||
| 0 | 1 | 0 | ||||
| 1 | 101 | 101 | 1 | |||
| 0 | 1 | 0 | ||||
| 0 | 0 | |||||
| 1 |
Mathematician Robbert Dijkgraaf said "One number which every algebraic geometer knows is the number 2,875 because obviously, that is the number of lines on a quintic."[1]
- ^ Robbert Dijkgraaf (29 March 2015). "The Unreasonable Effectiveness of Quantum Physics in Modern Mathematics". youtube.com. Trev M. Archived from the original on 2021-12-21. Retrieved 10 September 2015. see 29 minutes 57 seconds