A concept of urban design that applies random movement to urban forms, probabilistically generated curved cities normal city + + + + + + + + + + + + + + + Brown City ~ ~ ~~ ~ ~~ ~ ~~ ~~~ Cities are "generated like terrain." ground Gentle, random undulations road No straight lines It continues to curve slightly. building Embedding in a curved surface In other words City = Mega-landscape parametric city 「ブラウン多様体都市」 The space itself is a performance device; the cross-section is

Shapes that cannot be explained in ordinary dimensions (1D, 2D, 3D) Famous dimension ① Koch curve Dimensions: Approximately 1.26 dimensions ② Sierpinski triangle Dimensions: Approximately 1.58 dimensions ③ Cantor set Dimensions: Approximately 0.63 dimensions "Architecture where scale collapses" 建物 ≒ 地形 ≒ 宇宙構造 Prompt 1 fractal architecture based on Hausdorff dimension, recursive self-similar structure, infinite detail facade, multi-scale geometry, organic yet mathematical form

"Infinity has varying degrees of magnitude." Cantor Dust fractal topology infinite structure All of these originate from Cantor's set theory. "A city that exists, yet hardly exists." 「都市を削ることで現れる都市」 Cantor Group Mathematical Architecture space