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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


Conditions under which a world of straight lines exists
I thought it was a straight line, but it was actually a curve. In reality, friction heat noise External disturbance It gets in there. In other words, nature is always slightly curvilinear . ● Twist position (3D straight line) ● A world where the shortest distance is not a straight line Relationships become more complex when the space changes. Straight lines represent "shape," while curves represent "relationships." y = ax

Yuki
Mar 201 min read


Equilibrium of Form
Architecture x Fashion Network A fusion of minimalist aesthetics and architectural dynamism ① Curved surface of white marble Curves stripped of all unnecessary elements A texture with a limited color palette. Quiet luxury Beauty that competes not on decoration, but on "quality itself." ② Metal ring and sphere Structural tension Urban-scale thinking Lines that traverse space The drama of gravity and structure ③ The angular base at the bottom ( Upper part = fluid (fashionable)

Yuki
Mar 201 min read


Pythagoras' theorem
a² + b² = c² Right angles in architecture The very basic structure of space, including floors, walls, columns, and stairs. If we translate the resulting vector, which is the product of two directions of motion, into architectural terms... → A "diagonal structure" that penetrates orthogonal spaces This is a form where the "equation for length" has been transformed into a "relationship between spatial quantities." ピタゴラスの空間

Yuki
Mar 201 min read


Natural numbers and QR codes
A tool for counting and organizing the world Natural numbers = content of the letter; QR code = envelope "QR code = a cubic space of 0s and 1s" It's like walking through a mathematical formula. A three-dimensional program space created by a device that allows people to enter into information. 知的に挑発してくる都市空間

Yuki
Mar 201 min read


If we apply differential and integral calculus to a cross-section of an building...
"Architectural Cross Section" as Differentiation: Extracting Change The process of extracting "changes at a particular moment or place" "Architectural Cross Section" as an Integral: Overlapping Spaces The process of "building a shape by accumulating tiny elements" "Program collisions" and "accumulation of discontinuous fragments" Building=∫(Culture+Commerce+Chaos)dz パラメトリック・デザイン

Yuki
Mar 201 min read
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