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Busy with my speculations, I was astonished soon after to realize that the triangle had become a hexagon, so to speak. Whitson and Nanette Erickson seemed to be much in each other's company. But, unlike Burleigh, Erickson seemed to be either oblivious or complacent. Whatever it might all portend, I found that it did not worry Kennedy, although he observed closely.

A good action is not distinguished from a bad action by marks so plain as those which distinguish a hexagon from a square. There is a frontier where virtue and vice fade into each other. Who has ever been able to define the exact boundary between courage and rashness, between prudence and cowardice, between frugality and avarice, between liberality and prodigality?

For example, I am ascending; now I can see your neighbour the Hexagon and his family in their several apartments; now I see the inside of the Theatre, ten doors off, from which the audience is only just departing; and on the other side a Circle in his study, sitting at his books. Now I shall come back to you.

The angle at the base of each cell, the apex of the pyramidal cavity, is buttressed by the ridge formed by two faces of the hexagon of another cell.

Gradually the frame is completely filled with figures; first, with very dissimilar figures, as, for example, a square, a very narrow rectangle, a triangle, a circle, an ellipse and a hexagon, or with other figures in combination.

It is a long, low, irregular building, with one room, at an angle from the house, covered with ivy, fine white-veined ivy; the first floor of the main building projecting and supported by oaken beams, and one of the windows below, with its old casement and long narrow panes, forming the half of a shallow hexagon.

Has not each cell in a honey comb six sides, or as many as a bee has feet, the art of which arrangement appears in the teaching of the geometricians that of all polygons the hexagon covers the largest area within a circle.

This wing of the great building, in which the two queens, Catherine de' Medici and Mary Stuart, held their sumptuous court, is divided in the centre by a hexagon tower, in the empty well of which winds up a spiral staircase, a Moorish caprice, designed by giants, made by dwarfs, which gives to this wonderful facade the effect of a dream.

I sat upon a lounge, comfort-giving, related to the chair in style of covering. I fancied, after a long quiet, that my patient was asleep. I kept myself awake by examining this room that I was in. It was, like most of the other rooms, a hexagon, with two windows looking eastward. An air of homeness was over, and in, its every appointment. It seemed a room to sing in; were songs ever heard there?

When bees have a place on which they can stand in their proper positions for working, for instance, on a slip of wood, placed directly under the middle of a comb growing downwards so that the comb has to be built over one face of the slip in this case the bees can lay the foundations of one wall of a new hexagon, in its strictly proper place, projecting beyond the other completed cells.