"An integer version of complex numbers with the symmetry of a triangle (60°)" Eisenstein integers → triangular lattice (60°) → hexagonal tile (honeycomb structure) "The most stable planar structure" honeycomb crystal A configuration in which force is evenly distributed. "The structure chosen by nature" "Unifying everything under the rule of 60 degrees." 「中心を持たない文化」 Space that grows diagonally ↑ "Architecture where crystals proliferate like living organisms, losing their bound

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