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- W1633208468 abstract "The mean width is a measure on three-dimensional convex bodies that enjoys equal status with volume and surface area [Rota]. As the phrase suggests, it is the mean of a probability density f. We verify formulas for mean widths of the regular tetrahedron and the cube. Higher-order moments of f_tetra and f_cube have not been examined until now. Assume that each polyhedron has edges of unit length. We deduce that the mean square width of the regular tetrahedron is 1/3+(3+sqrt(3))/(3*pi) and the mean square width of the cube is 1+4/pi." @default.
- W1633208468 created "2016-06-24" @default.
- W1633208468 creator A5038299383 @default.
- W1633208468 date "2011-10-04" @default.
- W1633208468 modified "2023-09-27" @default.
- W1633208468 title "Width Distributions for Convex Regular Polyhedra" @default.
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- W1633208468 hasPublicationYear "2011" @default.
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