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Updated: June 28, 2025
Next, we must determine what are the four most beautiful figures which are unlike one another and yet sometimes capable of resolution into one another...Of the two kinds of triangles the equal-sided has but one form, the unequal-sided has an infinite variety of forms; and there is none more beautiful than that which forms the half of an equilateral triangle.
And then we shall not be willing to allow that there are any distinct kinds of visible bodies fairer than these. Wherefore we must endeavour to construct the four forms of bodies which excel in beauty, and then we shall be able to say that we have sufficiently apprehended their nature. Now of the two triangles, the isosceles has one form only; the scalene or unequal-sided has an infinite number.
Above this begins an octagonal dome with elaborately carved and gilt mouldings, like those round the panels, in each angle and round the large octagon which comes in the middle of each side. The next stage is similar, but set at a different angle, and with smaller and unequal-sided octagons, while the dome ends in one large flat eight-sided panel forty-five feet above the floor.
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