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Updated: June 22, 2025
The outrushing streams altered the shape of the outlying lines which he had already built up, and so instead of having a circle as a section of his thought-form, we have this curious hexagon with its inward-curving sides. We see thus how faithfully every thought-form records the exact process of its upbuilding, registering ineffaceably even the errors of its construction.
Mathematicians know that there is not a fourth way possible in which a plane shall be cut into little spaces that shall be equal, similar, and regular, without useless spaces. Of the three figures, the hexagon is the most proper for convenience and strength. Bees, as if they knew this, make their cells regular hexagons.
The superiority of that complex and consummate work of plastic art over the pulpit of the Pisan Baptistery, in all the most important qualities of style and composition, can scarcely be called in question. Its only serious fault is an exaggeration of the height of the pillars in proportion to the size of the hexagon they support.
Then the boats were sent off in six different ways, forming a hexagon, with the tender in the center; after which they all came together so that their stems touched each other, in the shape of a star. "Now, boys, we are ready for the voyage up Rippleton River," said Commodore Sedley. "I need not tell you that the utmost caution must be used.
The study itself was a hexagon, one side window, one fireplace, and the remaining four sides occupied with doors, two of which have been already mentioned, another at the foot of the narrow winding stairs which led straight into Mr. Wilkins's bedroom over the dining-room, and the fourth opening into a path through the shrubbery to the right of the flower-garden as you looked from the house.
By help of my strength and height, still more perhaps by the subtle influence of his own powerful will acting none the less imperiously on minds unconscious of its influence, Esmo made his way with me into the Court. Around five sides of the hexagon were seats, tier above tier, appropriated to the public who wish to see as well as hear.
Our Middle Class consists of Equilateral or Equal-Sided Triangles. Finally when the number of the sides becomes so numerous, and the sides themselves so small, that the figure cannot be distinguished from a circle, he is included in the Circular or Priestly order; and this is the highest class of all. Thus the son of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so on.
That afternoon Field had some business in Bee, and set off in that direction, engaging to meet Long with traps and bear-bait at the Hexagon Hotel the next morning. His business in Bee could not have required much time, for when Long happened down at Leewell that evening, Field was smoking with Captain Charner in the little cabin of the Wanita, the captain's daughter sitting by with some sewing.
"It is not finished yet," he answered, "and has already cost nearly three million dollars. It is an irregular hexagon that is has six sides and six angles surrounded by a tide-water ditch eight feet deep at high water." "I see trees and flower gardens, papa," she remarked. "Yes," he said, "there are a good many trees, standing singly and in groves.
It exhibits a very marked departure from circularity, the outline of the border approximating in form to a hexagon with nearly straight sides. It includes an area of about 9000 square miles, the greatest distance from side to side being about 115 miles.
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