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A countable set of directions is sufficient for Steiner symmetrization

Mathematics – Metric Geometry
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A curious arithmetic of fractal dimension for polyadic Cantor sets

Mathematics – Metric Geometry
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A Dense Packing of Regular Tetrahedra

Mathematics – Metric Geometry
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A densest compact planar packing with two sizes of discs

Mathematics – Metric Geometry
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A dichotomy for projections of planar sets

Mathematics – Metric Geometry
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A direct proof of a theorem of Blaschke and Lebesgue

Mathematics – Metric Geometry
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A discrete form of the Beckman-Quarles theorem for mappings from R^2 (C^2) to F^2, where F is a subfield of a commutative field extending R (C)

Mathematics – Metric Geometry
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A discrete version and stability of Brunn Minkowski inequality

Mathematics – Metric Geometry
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A doubling measure on $\R^d$ can charge a rectifiable curve

Mathematics – Metric Geometry
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A dual characterization of length spaces with application to Dirichlet metric spaces

Mathematics – Metric Geometry
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A Family of Recompositions of the Penrose Aperiodic Protoset and Its Dynamic Properties

Mathematics – Metric Geometry
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A finitely-generated amenable group with very poor compression into Lebesgue spaces

Mathematics – Metric Geometry
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A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane

Mathematics – Metric Geometry
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A formulation of the Kepler conjecture

Mathematics – Metric Geometry
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A Fourier type transform on translation invariant valuations on convex sets

Mathematics – Metric Geometry
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A general geometric construction for affine surface area

Mathematics – Metric Geometry
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A generalization of Filliman duality

Mathematics – Metric Geometry
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A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserstein spaces

Mathematics – Metric Geometry
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A generalization of Larman-Rogers-Seidel's theorem

Mathematics – Metric Geometry
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A generalization of Routh's triangle theorem

Mathematics – Metric Geometry
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