3 problems

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Dominance conjecture for the Blaschke–Santaló diagram of Minkowski-centered triangles
Dominance conjecture. The diagram of any triangle is dominating: for every Minkowski-centered $C$ ,
Conjectureopenblaschke-santalo-diagrams convex-geometry inequalitiesarXiv posted 2 days ago
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The isosceles-triangle boundary conjecture for the regular pentagon gauge
Isosceles-triangle boundary conjecture. The family filling the left boundary of the diagram $f(\mathcal K^2,P)$ is given by the triangles $T_\lambda$ for $\lambda\in[0,1/2]$ .
Conjectureopenblaschke-santalo-diagrams convex-geometry regular-polygonsarXiv posted 2 days ago
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The optimal gauge conjecture for planar Blaschke–Santaló diagrams
Optimal gauge conjecture. There exists $C_0\in\mathcal K^2_0$ such that
Conjectureopenblaschke-santalo-diagrams convex-geometry polygonal-gaugesarXiv posted 2 days ago

Dominance conjecture for the Blaschke–Santaló diagram of Minkowski-centered triangles