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Clementine surface
Geometry that "the space itself is in a state of collapse." "Self-intersecting architecture of space" 1. Central singularity 2. Self-penetrating traffic flow 3. The collapse of the front and back. "Space that collapses due to projection" Mathematics → Structure → Space → Experience "Space as a limit of perception" 自己交差型代数曲面 Mathematical Architecture space

Yuki
Jun 291 min read


information theory
"A theory that mathematically deals with how much information is contained, how accurately it can be transmitted, and how much it can be compressed." 1. Amount of information The rarer something is, the more information it contains. 2. Entropy How uncertain is it? How difficult is it to predict? 3. Compression Information theory is about how much data can be shortened. 4. Communications How accurately can information be transmitted even with noise? How well can we organize an

Yuki
Jun 281 min read


Algorithmic Information Theory
A theory that considers "how short a program can be used to represent a given piece of information." For example, let's compare the following two: A 111111111111111111111111111111 this is, "Repeat 1 30 times" It can be explained briefly as follows: In other words, the amount of information is small. B 101001110100101101011000111010 The rules are not very clear, so we have no choice but to write it almost exactly as it is. In other words, there is a lot of information. The mor

Yuki
Jun 271 min read


Category theory
Mathematics that focuses on "relationships between things" Basic structure ① Object ② Morphism flow line line of sight light sound information flow of people connection [This character] will be the main character. 「形ではなく、関係を建築する」 Mathematical Architecture space

Yuki
Jun 251 min read


Riemann zeta function
"An invisible spatial structure generated by zero point placement" 1. Aperiodic resonance city 2. The Architecture of the "Invisible Order" 3. Become an architectural masterpiece of light. "The deep frequencies of the universe" 夜になると金色の光点群が浮遊する A hall that seems to have become a building in itself, a "space of resonance." Architecture that doesn't focus on form, but rather on conveying an invisible order . "Architecture like a constellation": The interior space of a gigantic

Yuki
Jun 241 min read


KL Divergence
A quantity that measures how much the "true probability distribution" differs from the "approximated probability distribution". "The amount of extra information needed due to using the wrong model." "The discrepancy between the spatial use envisioned by the designer and the actual usage patterns." The difference between "predicted cities" and "actual cities" Architecture that optimizes probability distributions, rather than architecture that designs form. "An information syst

Yuki
Jun 231 min read
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