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A 44-vertex triangulation of RP6\mathbb{RP}^{6}

The manuscript gives an explicit centrally symmetric simplicial 7-polytope with 88 integer vertices. Its antipodal boundary quotient is a 44-vertex triangulation of real projective 6-space, with f-vector (44, 938, 7024, 22555, 34936, 25914, 7404). This improves the 45-vertex construction of Guyer, Steinerberger and Yang and gives an affirmative answer to their Question 3.2. Integer coordinates, facet lists and exact-arithmetic verification code accompany the manuscript. No claim that 44 is vertex-minimal is made.

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Prior state unknownproved

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Occurred: Sep 6, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: site-confirmed. Publication: announcement. AI contribution: ai-assisted. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: A 44-vertex triangulation of $\mathbb{RP}^{6}$ · RP^6 on 44 vertices

Confidence: Not scored

Registry verification: site confirmed · announcement · resolved

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Attribution

VibeMathed
registry · event recorded by

ChatGPT (OpenAI, model version unstated)
model · ai model contributor · OpenAI

Alexey M. Kolosov
human · human collaborator

Lineage and corrections

This event attributed to ChatGPT (OpenAI, model version unstated)

VibeMathed record: A 44-vertex triangulation of RP6\mathbb{RP}^{6} evidence for this event

44-vertex-triangulation evidence for this event

The manuscript gives an explicit centrally symmetric simplicial 7-polytope with 88 integer vertices. Its antipodal boundary quotient is a 44-vertex triangulation of real projective 6-space, with f-vector (44, 938, 7024, 22555, 34936, 25914, 7404). This improves the 45-vertex construction of Guyer, Steinerberger and Yang and gives an affirmative answer to their Question 3.2. Integer coordinates, facet lists and exact-arithmetic verification code accompany the manuscript. No claim that 44 is vertex-minimal is made. parent of this event

A 44-vertex triangulation of RP6\mathbb{RP}^{6} evidence for this event

A 44-vertex triangulation of RP6\mathbb{RP}^{6} parent of this event

This event attributed to Alexey M. Kolosov

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