A solid of constant width is an analog of a curve of constant width to three dimensions. Specifically, it is a convex shape having
the property that any two parallel tangent or supporting planes which contain the
shape between them are at a fixed distance apart (Bogosel 2023).
Bayen, T.; Lachand-Robert, T.; and Oudet, É. "Analytic Parametrization of Three-Dimensional Bodies of Constant Width." Arch. Ration.
Mech. Anal.186, 225-249, 2007.Bogosel, B. "Volume Computation
for Meissner Polyhedra and Applications." 25 Oct 2023. https://arxiv.org/abs/2310.17672.Croft,
H. T.; Falconer, K. J.; and Guy, R. K. "Minimal Bodies of Constant
Width." §A22 in Unsolved
Problems in Geometry. New York: Springer-Verlag, p. 34, 1991.Lachand-Robert,
T. and Oudet, É. "Bodies of Constant Width in Arbitrary Dimension."
Math. Nachr.280, 740-750, 2007.
