Perimeter Quotes
From the Berlin tenement reform law of 1897 to H. P. Berlage's plan for Amsterdam South of 1917, designers and theorists in Germany and Holland moved toward the development of a perimeter residential block that would preserve the plastic continuity of the street while opening up the resultant courtyard for use as an enclosed semi-public space.
Kenneth Frampton
STRANGER. In order to see into Space you ought to have an eye, not on your Perimeter, but on your side, that is, on what you would probably call your inside; but we in Spaceland should call it your side.I. An eye in my inside! An eye in my stomach! Your Lordship jests. STRANGER. I am in no jesting humour. I tell you that I come from Space, or, since you will not understand what Space means, from the Land of Three Dimensions whence I but lately looked down upon your Plane which you call Space forsooth. From that position of advantage I discerned all that you speak of as SOLID (by which you mean "enclosed on four sides"), your houses, your churches, your very chests and safes, yes even your insides and stomachs, all lying open and exposed to my view.I. Such assertions are easily made, my Lord.STRANGER. But not easily proved, you mean. But I mean to prove mine.
Edwin Abbott Abbott
Rapidly going over what I could recall of Jim Bursley's information about pathological curves confirmed the conjecture. The snowball curve, derived from an equilateral triangle, is a perimeter of infinite length enclosing a finite area. The angles or points of the perimeter are uncountable. An equilateral triangle projected integrally in the third dimension is a triangular pyramid of equal surfaces. The three-dimensional snowflake derived from this pyramid--hence its diamantine appearance--is a finite volume enclosed in a surface of infinite area. The convolutions of such a surface, to be gathered around its defined content extrude a number of discrete angles or points beyond all possibility of computation. The pressure on each point is infinitesimal, unmeasurably small; the total external pressure exerted on any part of the surface is an aggregate of infinitesimal values, itself infinitesimal.
William Grey Walter
Jumbled black rocks adorned an otherwise pale, flat landscape of salmons and khakis. Mountains rose in distant ridges. Out there in the Namaqua sea, I found myself thinking of South Africa as an island. Like Robinson Crusoe, I was walking its perimeter, noting the extent of my domain, checking for cannibals, finding fresh water. Sure, there were 47 million others who might make such a claim, but theirs were no more valid than mine, only similar. Beating my drum, singing the land, proclaiming it mine from coast to coast.
Justin D. Fox
Yet where were answers to the truly deep questions?
Religion promised those, though always in vague terms, while retreating from one line in the sand to the next. Don't look past this boundary, they told Galileo, then Hutton, Darwin, Von Neumann, and Crick, always retreating with great dignity before the latest scientific advance, then drawing the next holy perimeter at the shadowy rim of knowledge.
David Brin
As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.
Edwin Abbott Abbott
There, before my ravished eye, a Cube, moving in some altogether new direction, but strictly according to Analogy, so as to make every particle of his interior pass through a new kind of Space, with a wake of its own - shall create a still more perfect perfection than himself, with sixteen terminal Extra-solid angles, and Eight solid Cubes for his Perimeter. And once there, shall we stay our upward course? In that blessed region of Four Dimensions, shall we linger on the threshold of the Fifth, and not enter therein?
Edwin Abbott Abbott
