「異なる形なのに、同じ本質を持つ空間」 ① 二重空間（Twin Structure） ② トーラス分解空間（SYZの核心） ③ スケール反転 ④ 見えない対応関係 “空間の裏側にいる感覚” 「形ではなく、“関係性”を建築化したもの」 「対応関係を見せる図」 Mathematical Architecture space Gumroad Lemon Squeezy Payhip BOOTH

The world where form, sound, and vibration modes correspond. Visualization of spatial shape = eigenfunctions → "Architecture with overlapping frequency layers" 「音の干渉縞」 Humans become "particles in the sound field" The space itself is a mixer Mathematical Architecture space

They may look different, but their relationship structure is the same. Two spaces exist: A: Physical space (visible architecture) wall floor volume light B: Relational space (invisible architecture) Traffic flow network Eye contact Sound propagation Function links Space becomes "doubled" 「空間ではなく、空間同士の関係を設計し、それが別の幾何として現れる建築」 "Visible architecture" and "invisible architecture" Mathematical Architecture space

"A geometry that describes space and time through the relationship of light." Creating a world from "lines of light" rather than "points" → "Architecture made of flowing light" "Designing spaces with light at the center." 光の動線 ① Ray structure ② Twisted space ③ "Core of light" in the center Rotation in complex space Mathematical Architecture space

"The smallest unit of finite symmetry that cannot be further decomposed." "Symmetry like that of 'elementary particles' in a finite world" → Finite simple group = "Prime number" in the world of groups Finite simple group = symmetric atom The concept of a room disappears. There is no hallway Structure and traffic flow are integrated. ① You get lost (but it's not broken) → The symmetry is so strong that you lose your sense of direction. ② No center → Everything feels like the c

"A space where values are random no matter where you look, but where the 'distribution of randomness' is unified by a Gaussian distribution." "Orderly Randomness" "We don't design it, but 'space is created' by probabilistic rules." 相関の美 "Homogeneous yet heterogeneous" Mathematical Architecture space