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math.MG2025
The Probability that a Random Triangle in a Cube is Obtuse
Dominik Beck
In this paper, we derive the exact formula for the probability that three randomly and uniformly selected points from the interior of the unit cube form vertices of an obtuse trian…
math.MG2024
On Random Simplex Picking Beyond the Blashke Problem
Dominik Beck
New selected values of odd random simplex volumetric moments (moments of the volume of a random simplex picked from a given body) are derived in an exact form in various bodies in…