A world of "not smooth spaces" Thinking in terms of distance and measure Viewing in terms of extremes and scales Approach it probabilistically Treat as a discrete structure "A space where you can't find peace anywhere." 「世界は本当に滑らかなのか？」 Differentiable = Ideal/Smooth Not differentiable = realistic, rough, complex 👉 Non-differentiable geometry is **"geometry that is close to reality"**

A situation where rules exist, but unpredictable actions occur. for example weather Water flow Movement of crowds of people Moving endlessly within complex shapes → somewhere between order and disorder "Architecture where getting lost itself becomes an experience." 秩序のある迷宮

A collection of points floating randomly in space A space that "exists, yet lacks coherence." "A city that exists but is disconnected" → "A space where continuity has been completely destroyed" “存在とは何か”を問う建築 A fantastical landscape of a disconnected city and futuristic skyscrapers.

Beautiful vs. Wild tame = "gentle" vs wild = "wild" ① The “extreme behavior” of space ② "Geometry where intuition doesn't work" Wild topology = "A continuous yet uncontrollably complex space." 未来的な有機的建築複合体

🌀 Main line flow Swirling curves: The spiral flow that dominates the entire screen creates a cosmic sense of movement. Fluid Wavy Lines: Red, pink, blue, and orange colors merge in a wave-like pattern, representing the flow of energy. Convergence towards the center: A composition in which all lines guide the viewer's gaze towards the central light (sun). 💧 The effect of vertical lines The dripping vertical lines visible at the edges create a surrealistic "melting" effect. T

Defining architecture itself as geometry and determining how waves behave. ① Definition of the space (hall) itself The interior of the hall is treated as a three-dimensional space. Ω⊂R3\Omega \subset \mathbb{R}^3Ω⊂R3 Boundaries (walls, ceilings, floors, columns, openings) ∂Ω\partial \Omega∂Ω Let's assume that. The coordinates of each point are x=(x,y,z)x = (x,y,z)x=(x,y,z) ② The basic equation for waves propagating in space (time-dependent) The fundamental form of sound, ligh