Abstract
Dome-shaped concentrations of mica adjacent to garnet porphyroblasts in a hornfelsed metagreywacke are seen in thin-section as “cleavage arcs.” This paper examines some of the stereological relationships between dome shape and are shape by modelling the domes as spherical segments of one base. The relationship between the true thickness of mica flakes within the domes and their apparent thickness as measured in thin section is also derived.
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References
Bell, R. J. T., 1920, Co-ordinate geometry of three dimensions, 2nd ed: Macmillan & Co., London, 394 p.
Harvey, P. K., Ferguson, C. C., Lloyd, G. E., and Shaw, K. G., 1977, Arcuate cleavage zones adjacent to garnet porphyroblasts in a hornfelsed metagreywacke: Tectonophysics,39, no. 1–3, p. 473–476.
Underwood, E. E., 1970, Quantitative stereology: Addison-Wesley, Reading, Mass., 274 p.
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Ferguson, C.C. On the stereology of a spherical segment of one base, with applications to the petrography of “cleavage domes” in a metagreywacke. Math Geol 9, 605–617 (1977). https://doi.org/10.1007/BF02067216
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DOI: https://doi.org/10.1007/BF02067216