Uniform Line Filling of Space: Bertrand’s Paradox Revisited

Evangelos Marakis, Ravitej Uppu, Pepijn W.H. Pinkse, Matthias Christiaan Velsink

Research output: Contribution to conferencePosterOther research output


We are interested in finding templates for direct laser writing of deterministic uncorrelated multiple scattering media. To this end, we want to fill space in a homogeneous way with random lines. It turns out that this is a remarkably difficult problem, which is related to a paradox found by J. Bertrand in 1889. Following insights from Jaynes [1], we solve this problem in 2D and find an analytic expression for the distribution of line lengths. We discuss progress towards solving the 3D case.
Original languageEnglish
Publication statusPublished - 10 Oct 2017
Event41st Annual Meeting NNV AMO Lunteren 2017 - Lunteren, Netherlands
Duration: 10 Oct 201711 Oct 2017
Conference number: 41


Conference41st Annual Meeting NNV AMO Lunteren 2017
Internet address


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