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Year by year the Soldiers and Artisans began more vehemently to assert and with increasing truth that there was no great difference between them and the very highest class of Polygons, now that they were raised to an equality with the latter, and enabled to grapple with all the difficulties and solve all the problems of life, whether Statical or Kinetical, by the simple process of Colour Recognition.

He looked over at the other Martians, seated in a circle in the morning sunshine. They were taking turns tossing some small polygons, and evidently the objective of whatever they were doing lay in the way the polygons fell. Dark felt a sudden surge of power in his brain.

Of all regular polygons it is the simplest: its three equal sides subtend equal angles, each of 60 degrees; it trisects the circumference of a circle; it is the graphic symbol of the number three, and hence of every threefold thing; doubled, its generating arcs form the vesica piscis, of so frequent occurrence in early Christian art; two symmetrically intersecting equilateral triangles yield the figure known as "Solomon's Seal," or the "Shield of David," to which mystic properties have always been ascribed.

By the same rule, in due time in the periodicity, Mr Rampson would revel in Latin puzzles; and Mr Morris would request the young gentlemen to build up curious constructions with perpendiculars, "slanting-diculars," and other varieties of the diagonal, in company with polygons and other forms of bodies with their many angles and curves, as set forth originally by a certain antique brain-puzzler of the name of Euclid, for the first part of the examination, the second portion consisting of that peculiar form of sport in which, instead of ordinary figures, the various letters of the alphabet were shuffled up and used for calculations, plused, minused, squared, and cubed up to any number of degrees, under the name of equations.