A238820 Number of triangulations of the vertex set of the n-dimensional cube.

1, 1, 2, 74, 92487256

Offset: 0

Author

N. J. A. Sloane, Mar 06 2014

Keywords

• nonn
• hard
• more

Comments

The number of triangulations of the n-cube is a distant cousin of Catalan numbers as they both count triangulations of some set of points. - Lionel Pournin, Mar 06 2014

References

• Lionel Pournin, The flip-graph of the 4-dimensional cube is connected, Discrete Comput. Geom. 49 (2013), no. 3, 511--530.MR3038527

Links

• Michael Joswig, Max Klimm, and Sylvain Spitz, The Polyhedral Geometry of Truthful Auctions, arXiv:2211.01907 [cs.GT], 2022. See Table 1 at page 8.
• Lionel Pournin, The flip-graph of the 4-dimensional cube is connected, arXiv:1201.6543 [math.MG], 2012.

Crossrefs

Cf. A238821.