A 44-vertex triangulation of $\mathbb{RP}^{6}$ reported

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This event attributed to Alexey M. Kolosov

This event attributed to VibeMathed

This event derived from A 44-vertex triangulation of real projective 6-space

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A 44-vertex triangulation of $\mathbb{RP}^{6}$ parent of this event

The supplied 44 integer vectors in $\mathbb{Z}^{7}$ and 7404 antipodal facet representatives define a centrally symmetric simplicial 7-polytope with 88 vertices whose antipodal boundary quotient is a simplicial triangulation of $\mathbb{RP}^{6}$ with $f$-vector $(44, 938, 7024, 22555, 34936, 25914, 7404)$. Thus $29 \leq \nu(\mathbb{RP}^{6}) \leq 44$ and the construction improves the prior 45-vertex bound; no claim that 44 is vertex-minimal is made. parent of this event

This event evidence for The supplied 44 integer vectors in $\mathbb{Z}^{7}$ and 7404 antipodal facet representatives define a centrally symmetric simplicial 7-polytope with 88 vertices whose antipodal boundary quotient is a simplicial triangulation of $\mathbb{RP}^{6}$ with $f$-vector $(44, 938, 7024, 22555, 34936, 25914, 7404)$. Thus $29 \leq \nu(\mathbb{RP}^{6}) \leq 44$ and the construction improves the prior 45-vertex bound; no claim that 44 is vertex-minimal is made.

Kolosov manuscript dated 6 September 2026 evidence for this event