3 citations · 5 across the 4 of their papers we have counts for
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On determination of convex bodies by their section functions
Alexander Fish, Dmitry Ryabogin, Wen Rui Sun +1
For a convex body its parallel section function in the direction is defined by $$A_{K,θ}(t) = \mathrm{vol}_{n-1} \left( K \cap \{ x \in \mathbb{R}^n ~ | ~ \langl…
Illuminating 1-unconditional convex bodies in and , and certain cases in higher dimensions
Wen Rui Sun, Beatrice-Helen Vritsiou
We settle the Hadwiger-Boltyanski Illumination Conjecture for all 1-unconditional convex bodies in and in . Moreover, we settle the conjecture for th…
On the illumination of 1-symmetric convex bodies
Wen Rui Sun, Beatrice-Helen Vritsiou
In ["Illumination of convex bodies with many symmetries", Mathematika 63 (2017)], Tikhomirov verified the Hadwiger-Boltyanski Illumination Conjecture for the class of 1-symmetric c…
On Axial Symmetry in Convex Bodies
Ritesh Goenka, Kenneth Moore, Wen Rui Sun +1
For a two-dimensional convex body, the Kovner-Besicovitch measure of symmetry is defined as the volume ratio of the largest centrally symmetric body contained inside the body to th…