## Related pagesSmall projective planesFinite projective planes Finite spreads |

**Theorem. **Up to isomorphism,
there exists exactly one
non-Desarguesian
translation plane
of order 9.

This translation plane is defined by a spreadset in a 2-dimensional vector space over the field GF(3), consisting of the following matrices.

As it turns out, the coordinatizing quasifield is a nearfield. Moreover the non-Desarguesian translation plane of order 9 has Lenz-Barlotti type IVa.3

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