69 citations · 505 across the 27 of their papers we have counts for
7 papers · 1 filter
From Elastica to Floating Bodies of Equilibrium
Franz Wegner
A short historical account of the curves related to the two-dimensional floating bodies of equilibrium and the bicycle problem is given. Bor, Levi, Perline and Tabachnikov found, q…
Floating Bodies of Equilibrium at Density 1/2 in Arbitrary Dimensions
Franz Wegner
Bodies of density one half (of the fluid in which they are immersed) that can float in all orientations are investigated. It is shown that expansions starting from and deforming th…
Floating Bodies of Equilibrium in Three Dimensions. The central symmetric case
Franz Wegner
Three-dimensional central symmetric bodies different from spheres that can float in all orientations are considered. For relative density rho=1/2 there are solutions, if holes in t…
Floating Bodies of Equilibrium in 2D, the Tire Track Problem and Electrons in a Parabolic Magnetic Field
Franz J. Wegner
Explicit solutions of the two-dimensional floating body problem (bodies that can float in all positions) for relative density different from 1/2 and of the tire track problem (tire…
Floating Bodies of Equilibrium. Explicit Solution
Franz Wegner
Explicit solutions of the two-dimensional floating body problem (bodies that can float in all positions) for relative density rho different from 1/2 and of the tire track problem (…
Floating Bodies of Equilibrium II
Franz Wegner
In a previous paper (physics/0203061) ''Floating bodies of equilibrium I'' I have shown that there exist two-dimensional non-circular cross-sections of bodies of homogeneous densit…
Floating Bodies of Equilibrium I
Franz Wegner
A long cylindrical body of circular cross-section and homogeneous density may float in all orientations around the cylinder axis. It is shown that there are also bodies of non-circ…