7 October

1571 the battle of Lepanto
1591 birth of Pierre le Muet

1828 birth of Paul Jacques Aimé Baudry
1857 death of Ludwig von Zanth

Quondam - V&R
1996.10.07     4094 4095 4096 4131 4177

C.M. on the way
1997.10.07     e2655

non-Euclidean geometry
2000.10.07 12:18     3228d 3247 3770c

Re: geometry notes
2000.10.07 17:03     3770c 4401c 4402e

2004 retirement of Philip Johnson

Your Colour Memory
Grey Towers
Stotesbury Estate
2004.10.07

University of Pennsylvania
2005.10.07 10:41

"I'd say, socially, economically and geographically responsive architecture will trump 'all' and be the movement."
2008.10.07 17:07     3770w 4600i 4703

7 October
2014.10.07 14:27     3309m
2014.10.07 21:39     3309n 3730o

7 October
2015.10.07 11:43     3312s 4300v 4600s

Architecture Without Reference
2016.10.07 09:59     3314r
2016.10.07 10:58     3314r
2016.10.07 20:50     3314r


05100702.db



98100701 ICM Officina Machina model   2110i35


2000.10.07 12:18
non-Euclidean geometry
Non-Euclidean geometry, that term oft-used but not exactly understood by many of today's non-orthogonally 'inclined' architects and theorists, stems from the many age-old 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 non-Euclidean 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 non-orthogonal surfaces and forms, resorted to 'descriptive geometry'.


2000.10.07 17:03
Re: geometry notes
Could it be that human perception of space may be non-Euclidean, but that human imagination has evolved (so far) in a very Euclidean manner?


051007a plans of domestic architecture
051007b tallest.db with Empire State building corrected

2014.10.07 21:39
7 October

Spent a few hours today working on a model of Palais Savoye. Just about at the point now where the models of all the various Savoye derivatives can be placed within the skeleton Palais. I basically had to carve out a corner of the Palais's undulating roof plane, so, yes, lots of x, y and z manipulation.

Up to now I've just been manipulating 2D data to achieve these elevations:

And, of course, a model will enable much more interesting views (into an otherwise virtual museum of architecture).



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