Finite simple group

"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 center

③ Finite that seems infinite → Finite, but with no end in sight

一見ランダムな塊でも回転・反転で完全一致

Mathematics → Algorithmization → Shape generation → Structure

Mathematical Architecture

space