Latin Hypercube

In the context of statistical sampling, a square grid containing sample positions is a Latin square¹ if (and only if) there is only one sample in each row and each column. A Latin hypercube² is the generalization of this concept to an arbitrary number of dimensions, whereby each sample is the only one in each axis-aligned hyperplane³ containing it.

References

1. https://en.wikipedia.org/wiki/Latin_square ↩

2. https://en.wikipedia.org/wiki/Hypercube ↩

3. https://en.wikipedia.org/wiki/Hyperplane ↩