 
2000: NonEuclidean geometry, that term oftused but not exactly understood by many of today's nonorthogonally 'inclined' architects and theorists, stems from the many ageold mathematical attempts to disprove one of Euclid's axioms:
"There was in particular one axiom, the axiom of parallels, which they disliked and attempted to eliminate. The axiom states that through a given point one and only one parallel can be drawn with respect to a given line; that is, there is one and only one line that does not ultimately intersect with a given line and yet lies in the same plane." (from H. Reichenbach, The Rise of Scientific Philosophy, 1951.)
With the discovery that light does not travel in a straight line, the notion that parallel lines can then (eventually) intersect seems to disprove Euclid's parallel axiom.
Another aspect of nonEuclidean geometry is that the sum of the angles inside a triangle can add up to more that 180 degrees, but such triangles only truly exist when the area of the triangle is extremely vast, say a triangle created by connecting three galaxies.
Basically, it is still Euclidean geometry that governs what architects on Earth are capable of building.
As an aside, I remember reading that Gehry's office, when first dealing with designs that collaged many nonorthogonal surfaces and forms, resorted to 'descriptive geometry'.
Could it be that human perception of space may be nonEuclidean, but that human imagination has evolved (so far) in a very Euclidean manner?
2004: retirement of Philip Johnson
 
2004:
2008: And has architecture really become more about spectacle than building? And, if so, are architects blameless?
 
from t a m m u z
Perhaps, at some point in the future (sic), quantum physics will open up a window in which architects can be able to discover their domain under nonEuclidean conditions.
Speaking of which, I'm sure it has crossed your mind that there also might be such a discipline as quondam physics....i'm not sure whether the reading would be more historiographical (as in an anthology of former physics) or genealogical (physics as a study of the universe running back to its former selves).
