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A hinged dissection of a set of polygons S is a collection of polygonal pieces hinged together at vertices that can be rotated into any member of S. We present a hinged dissection of all edge-to-edge gluings of n congruent copies of a polygon P that join corresponding edges of P. This construction uses kn pieces, where k is the number of vertices of P. When(More)
This paper shows how to hinge together a collection of polygons at vertices in such a way that a single object can be reshaped into any n-omino, for a given value of n. An n-omino is deened generally as a connected union of n unit squares on the integer grid. Our best dissection uses 2n , 1 polygons. We generalize this result to the connected unions of(More)
While Ludwig Boltzmann's contributions to theoretical science are many, the Boltzmann distribution formula is arguably his most important contribution to the field of chemistry. The formula predicts the energy distribution of molecules in an equilibrium system at a given temperature. This distribution in turn governs numerous chemical phenomena, including(More)
Strong interaction level shifts and widths in Σ − atoms are analyzed by using a Σ nucleus optical potential constructed within the relativistic mean field approach. The analysis leads to potentials with a repulsive real part in the nuclear interior. The data are sufficient to establish the size of the isovector meson–hyperon coupling. Implications to Σ(More)