Mathematics that understands probability distributions and statistical models as "curved spaces" Geometric spaces with different curvatures Information Geometry Architecture It's completely different from fractal architecture. theory space fractal self-similarity chaos non-linear information geometry statistical surface theory shape Mandelbrot Set Jagged, self-similar Hyperbolic Geometry Divergence and sharp distortion information geometry Smooth, statistical terrain 都市に現れた、滑

Physical laws do not change even when a certain "transformation of perception" is applied. The forces of the universe = gauge symmetry In architecture, mathematics is incredibly powerful. Yang-Mills theory Wilson Loop Holographic principle Chern–Simons theory Gauge/Gravity compatible When viewed from a distance A single massive mass of fluid As you get closer A collection of countless misaligned spaces As we got closer You can see the "flow (force) of light" running along the

Fractal Geometry becomes Architecture. Not designed. Generated. Mandelbrot → Space [link] https://shomei.gumroad.com/l/qjxljj Fractal Geometry becomes Architecture. This volume explores how the Mandelbrot set transforms into space: Pattern → Volume → Space → Human Experience Not designed. Generated. — Includes: • Concept + Manifesto • Architectural visual studies • Transformation diagrams Format: PDF

Space + Time = Spacetime Black Hole ● ↓↓↓ ───∪∪∪─── Gμν + Λgμν = c48πGTμν Black Hole Architecture physics concepts architectural elements Spacetime distortion Nonlinear grid of exterior walls Gravity well Settlement pattern towards the center Event horizon ring-shaped facade The bending of light Light facade (reflection and convergence) physics concepts architectural elements Spacetime distortion Nonlinear grid of exterior walls Gravity well Settlement pattern towards the cen

A structure in which points are arranged in a regular and infinite pattern in space. A perfectly formed supercrystal → A gigantic symmetrical city → A cosmic-scale urban grid 無限に続く構造 静かな建築 structure = light 24 Dimensions of Light Mathematical Architecture space

A structure in which countless circles within a 3-dimensional sphere correspond neatly to a 2-dimensional sphere. "A space created by the intertwining of infinite circular corridors." ”思考スタイル”として再構成した比較想像図 ① Flowing curved surface type ② Silent minimalist type ③ Structural logic exposed type Fluid / Continuous / Dynamic Geometry 迷路ではなく流体空間 Mathematical Architecture space