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Fifty‐nine tetrakaidecahedra as grain models
Author(s) -
Hucher Monique,
Grolier Jacques
Publication year - 1977
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1977.tb00072.x
Subject(s) - polyhedron , stereology , basis (linear algebra) , computation , geometry , materials science , crystallography , combinatorics , mathematics , computer science , chemistry , algorithm , biology , endocrinology
SUMMARY A catalogue of the Schlegel graphs of all the three‐valent tetrakaidecahedra with faces having at least four edges and at most six edges is presented. These fifty‐nine polyhedra can be used for all purposes in stereology, either as morphological models of grains in microscopic studies of all kinds of materials where the unit cells are supposed in equilibrium, for the experimental and theoretical study of three‐dimensional packing and non‐packing problems or as a conceptual basis for the theoretical frequency computation of occurrences of the different types of polygons in materials observed in slides or polished sections.