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Updated: June 22, 2025
Q. Are there more than one sort of hexagons? A. Yes, there are regular and irregular. Q. What is a regular hexagon? A. When the sides and angles are all equal. Q. What is an irregular hexagon? A. When the sides and angles are not equal. Hept-agon. Q. What is this? A. A regular heptagon. Q. Why is it called a heptagon? A. Because it has seven sides and seven angles.
WEBB. A ring-plain E. of Maclaurin, about 14 miles in diameter, with a dusky floor, enclosed by a bright rim, on the N.E. side of which there is a small crater. Schmidt seems to have overlooked the central hill. Its length is about 90 miles from N. to S., and its breadth fully as much. In shape it approximates very closely to that of a foreshortened regular hexagon.
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.
§ XVI. I have also supposed Yb, when expanded from beneath Xb, as always expanded into a square, and four spurs only to be added at the angles. But Yb may be expanded into a pentagon, hexagon, or polygon; and Xb then may have five, six, or many spurs.
Even the boss at the top is mechanical, for it is just like an ordinary hexagon nut. Then, notice the dimensions, as shown on my drawing. The parts A and B, which just project beyond the blade, are exactly similar in diameter and such exactness could hardly be accidental.
Yours with love, now and always, BELL. P. S Our 'Happy Hexagon' has become a sort of 'Obstreperous Octagon. Laura and Scott Burton are staying with us. Scott is a good deal of a bookworm, and uses very long words; his favourite name for me at present is Calliope; I thought it was a sort of steam- whistle, but Margery thinks it was some one who was connected with poetry.
Neither could there be question here of reciprocal obstacles, the cells having been formed one by one, and their first lines traced on what practically was a bare table. It would seem incontestable, therefore, that the hexagon is not merely the result of mechanical necessities, but that it has its true place in the plans, the experience, the intellect and will of the bee.
Straight before the entrance a door leads to another hall, which is oblong, with hexagonal pillars and niches, containing statues in a tolerable state of preservation; goddesses ten feet and gods nine feet high. After this hall there is a room with an altar, which is a regular hexagon, having sides each three feet long, and protected by a cupola cut in the rock.
At each angle of this hexagon the crest gives off a delicate flexible calcareous spine, which is sometimes four or five times the diameter of the shell in length. The spines radiate symmetrically from the direction of the centre of each chamber of the shell, and the sheaves of long transparent needles crossing one another in different directions have a very beautiful effect.
The two triangles, or extensions of the hexagon faces which fill one of the convergent angles of the cavity enclosed by the three rhombs, form by their junction a plane angle on the side they touch; each of these angles, concave within the cell, supports, on its convex side, one of the sheets employed to form the hexagon of another cell; the sheet, pressing on this angle, resists the force which is tending to push it outwards; and in this fashion the angles are strengthened.
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