---+-----+-----
1 | {1} |{11}
---+-----+-----
2 | 12 | 32
---+-----+-----
3 | 33 |{50}
---+-----+-----
4 | 51 |{86}
---+-----+-----
5 | 87 | 108
---+-----+-----
6 |{109}| 120
---+-----+----- ---
In the mathematical field of geometric topology, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space (Wikipedia).