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Updated: June 28, 2025
You plume yourself on inferring the existence of a Straight Line; but I CAN SEE Straight Lines, and infer the existence of Angles, Triangles, Squares, Pentagons, Hexagons, and even Circles. Why waste more words? Suffice it that I am the completion of your incomplete self.
Hearing these words the King advanced towards me with a menacing cry as if to pierce me through the diagonal; and in that same movement there arose from myriads of his subjects a multitudinous war-cry, increasing in vehemence till at last methought it rivalled the roar of an army of a hundred thousand Isosceles, and the artillery of a thousand Pentagons.
Hence he was led to compare the orbits of the other planets' circles described in pentagons and hexagons. As this hypothesis was as inapplicable to the heavens as its predecessors, Kepler asked himself in despair, "What have plane figures to do with solid orbits? Solid bodies ought to be used for solid orbits."
The sight of a line of battle of twenty thousand Isosceles suddenly facing about, and exchanging the sombre black of their bases for the orange of the two sides including their acute angle; the militia of the Equilateral Triangles tricoloured in red, white, and blue; the mauve, ultra-marine, gamboge, and burnt umber of the Square artillerymen rapidly rotating near their vermillion guns; the dashing and flashing of the five-coloured and six-coloured Pentagons and Hexagons careering across the field in their offices of surgeons, geometricians and aides-de-camp all these may well have been sufficient to render credible the famous story how an illustrious Circle, overcome by the artistic beauty of the forces under his command, threw aside his marshal's baton and his royal crown, exclaiming that he henceforth exchanged them for the artist's pencil.
They owe their name to the fanciful credulity of Magellan, who thus immortalized his conviction that they were of gigantic proportions Patagons, or Pentagons, that is, five cubits high. Sir Thomas Cavendish speaks of them as averaging seven to eight feet in stature.
George and Amory all the cavernous chambers and galleries were become homes of hope that the king would be found and all would yet be well. To the main part of the palace there were storey after storey, all octagons and pentagons and labyrinths, so that incredulity and amazement might increase with every step.
No one now needed to "feel" him; no one mistook his front for his back; all his movements were readily ascertained by his neighbours without the slightest strain on their powers of calculation; no one jostled him, or failed to make way for him; his voice was saved the labour of that exhausting utterance by which we colourless Squares and Pentagons are often forced to proclaim our individuality when we move amid a crowd of ignorant Isosceles.
On the door of each cage there was written the name of the horse, as Sir Brian, Sir Bors, or Old Leo and the sign of the constellation under which each was born, the months in which, in consequence, it was propitious or dangerous to ride them, and pentagons that should prevent witches, warlocks or evil spirits from casting spells upon the great beasts.
When I descended here, I saw your four Sons, the Pentagons, each in his apartment, and your two Grandsons the Hexagons; I saw your youngest Hexagon remain a while with you and then retire to his room, leaving you and your Wife alone. Then I came here, and how do you think I came? I. Through the roof, I suppose. Strange. Not so.
And when the shiftings of the Metal Hordes permitted we saw that all the flat floor of the valley was stripped and checkered, stippled and tessellated with every color, patterned with enormous lozenges and squares, rhomboids and parallelograms, pentagons and hexagons and diamonds, lunettes, circles and spirals; harlequined yet harmonious; instinct with a grotesque suggestion of a super-Futurism.
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