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math.OC2026
The logarithmic spiral is optimal for shoreline search: a computer-assisted proof
Alexander Temerev
A ship starts at a point of the plane and moves at unit speed; it has to reach an unknown straight line, of which neither the distance nor the direction is known. The competitive r…
cs.CL2026
A Glyph Is Not a Letter, a Token Is Not a Word, a Space Is Not a Space: What the Units of Voynichese Are Not
Liudmila Rozanova, Alexander Temerev
The Voynich manuscript (Beinecke MS 408) is usually analysed on three unstated assumptions: that its glyphs are letters, that the strings between blanks are words, and that every b…
math.MG2026
The exact solution of Bellman's lost-in-a-forest problem for the golden gnomon
Alexander Temerev, Alessio Doria
We solve Bellman's lost-in-a-forest problem for the golden gnomon , the isosceles triangle with equal sides and apex angle : the shortest curve guaranteed to reac…