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A square is pulled out of his reality by a sphere, and shown the meaning of three dimensions.

Page 36 of 123
Table of Contents

VI

prosecution of this noble and valuable Art. Even to me, a mathematician of no mean standing, and the grandfather of two most hopeful and perfectly regular Hexagons, to find myself in the midst of a crowd of rotating Polygons of the higher classes, is occasionally very perplexing. And of course to a common tradesman, or serf, such a sight is almost as unintelligible as it would be to you, my reader, were you suddenly transported into our country.

In such a crowd you could see on all sides of you nothing but a Line, apparently straight, but of which the parts would vary irregularly and perpetually in brightness or dimness. Even if you had completed your third year in the Pentagonal and Hexagonal classes in the University, and were perfect in the theory of the subject, you would still find that there was need of many years of experience, before you could move in a fashionable crowd without jostling against your betters, whom it is against etiquette to ask to “feel,” and who, by their superior culture and breeding, know all about your movements, while you know very little

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