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Rich Flow Architecture
An equation that smooths out the "uniformity of curvature and shape" of space over time. Wrinkled surface → Uniform shape → Heat diffusion in space → Curvature is smoothed out The shape of space changes over time. Previously proposed architecture “Chaos → Order” Thinking of it as a city Topology × Time × Curvature Consider it as a bridge (Tokyo to New York) 過去 → 遷移 → 均一 Consider it as an underground space 時間を持った建築 Surgery Architecture Mathematical Architecture space "If you l

Yuki
12 hours ago1 min read


Twister Theory
As I've mentioned before, this is a framework of mathematical physics that attempts to describe physics using light rays and causal structures as its fundamental objects , rather than spacetime itself . Roger Penrose proposed a profound theory that connects quantum gravity, scattering amplitude, and complex geometry. 「時空は本当に基本的な存在なのか」 Let's consider the bridge between Tokyo and Yokohama. The paths of light propagating at the speed of light and conformal symmetries are natural

Yuki
2 days ago1 min read


Möbius strip
It goes without saying that it's a "structure where the front and back disappear." 「内外・上下・表裏が崩壊した建築」 "Architecture that first gives you the feeling of unease with topology." ① Continuous surface ② Reversing movement line ③ Disappearance of inside and outside ④ Disappearance of boundary "Lost, discovered, and cyclical" become valuable. Mathematical Architecture space prompt Futuristic Möbius strip architecture, a single continuous non-orientable building forming a twisted loop

Yuki
3 days ago1 min read


Sporadic group
"Rules that preserve structure even after transformation" "Operation of symmetry" Finite simple group classification theorem (Classification of Finite Simple Groups) sporadic = sporadic, isolated 「説明不能な秩序」 Mathematical Architecture space "If you like this architectural artwork, you can purchase the high-resolution digital file [here on Payhip (https://payhip.com/MathematicalArchitectureS)] or [here on Gumroad (https://shomei.gumroad.com/l/apmao)]."

Yuki
3 days ago1 min read


Hamiltonian Mechanics
(An energetic perspective) Energy (Hamiltonian) → Time evolution → Motion There is an "invisible topography (energy undulation)" in space, and particles flow through it. "Architecture that designs movement itself" 動いていないのに動いて見える "Dynamic Space Architecture" Mathematical Architecture space ■ Gumroad https://shomei.gumroad.com/l/apmao ■ Lemon Squeezy https://shomei.lemonsqueezy.com/ ■ Payhip https://payhip.com/MathematicalArchitectureS ■ BOOTH https://shomei-a.booth.pm

Yuki
5 days ago1 min read


共分散関数 covariance function
「ある場所や時間での値が、別の場所や時間の値とどれくらい一緒に変化するか」 共分散関数 = 空間の“性格” 光の密度 人流 音響 温度 視線 構造応力 が空間内でどう連続的に変化するか。 → 空間の“雰囲気の連続性”を数学化できる。 非常に滑らかな空間 時間 空間 曲面 都市 音 波 連続的なもが「距離や時間差によって、どれくらい似ているか」の関数 Mathematical Architecture space Gumroad Lemon Squeezy Payhip BOOTH

Yuki
6 days ago1 min read
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