Three-dimensional foam structures were measured using NMR 2000 equal volume bubbles made one by one with a syringe imaging, and their 3D geometrical properties were analyzed. Eight in a cylindrical dish. He then made observation using a bubble polyhedra of a polyurethane foam specimen were extracted binocular dissecting microscope and recorded the shapes of from 3D NMR image data using a newly developed 3D geometrical 600 bubbles in the central region of the dish. He observed structure analysis program, and quantitative geometrical data many 12-, 13-, 14-, and 15-sided polyhedral bubbles but were measured for the first time for real foam systems. The results very few 11-, 16-, and 17-sided ones and he could not find agreed well with the study by Matzke with soap bubbles but did Kelvin's tetrakaidecahedron.
not agree with the optimum solution by Weaire and Phelan for
Although Matzke's paper gives us valuable knowledge
3D space division into equal volume cells with minimum parti-
on the 3D shapes of bubble polyhedra, even now we cantional area. The reason for this disagreement is not clear; however, not obtain any quantitative data from it. Thus, quantitative improved foam preparation and more systematic measurements using the method developed here may clarify this difference. measurements of 3D foam structures are highly desirable.