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Sculptures created with mathematics and algorithms
■ Mathematical Model of Space Generation Algorithms Let S be the spatial shape. Basic formula S=argminS[w1O(S)+w2Sym(S)+w3C(S)+w4P(S)+w5K(S)]S = \operatorname*{argmin}_{S} \Big[ w_1 O(S) + w_2 Sym(S) + w_3 C(S) + w_4 P(S) + w_5 K(S) \Big]S=Sargmin[w1O(S)+w2Sym(S)+w3C(S)+w4P(S)+w5K(S)] ■ Meaning (architectural translation) The shape of space S is determined by the shape that minimizes the evaluation values of "order, symmetry, continuity, proportion, and complexity." Archite

Yuki
Mar 201 min read


organic order
Features mathematics architecture abstraction Replacing real-world phenomena with mathematical formulas and symbols. Translating daily life and functions into spatial configurations. logic Build a logically sound proof. Building a foundation of structural and functional evidence creativity Discover new solutions that go beyond existing frameworks. Creating new spatial experiences within constraints element mathematical background Impact on space Parametric lofting A function

Yuki
Mar 201 min read


Euler's identity eiπ + 1 = 0
数学の基本定数 "The most beautiful mathematical formula in the world" "Resonance Dome" "Pool of Consciousness" "Connecting rays of light" "The Silent Corridor" テレパシーを感じる建築空間

Yuki
Mar 201 min read


prime numbers
The "atom" of the world of numbers A sequence at the boundary between order and chaos ウラムの螺旋

Yuki
Mar 201 min read


Square root √
"The power to extract invisible structures" "A concept that compresses complexity" "A symbol of symmetry and balance" ...A mental apparatus that returns complex reality to a form that can be understood—a principle that translates spatial quantities into forms. The reason why square root ratios naturally appear in architecture is because humans themselves have a square root structure. 空洞としての数 Giacometti = making numbers into bones Michelangelo = embodying numbers in physical f

Yuki
Mar 201 min read


Complex n-dimensional (number) space
Complex space, rather than a "space of position" that most naturally represents rotation, vibration, waves, and quantum states, is a "space of vibrational states." Complex number form name formula coefficient Orthogonal form z = a + ib Real part a=ℜ(z), imaginary part b=ℑ(z) polar form z = r(cosθ + isinθ) Absolute value r = |z|, argument θ = arg(z) Exponential function format z=reiθ Phasor format z=r∠θ A tool to simplify complex phenomena into a "simple form". It look

Yuki
Mar 201 min read
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