理論.xyz

Where Theory Becomes Visual

Concept Explorations

Fibonacci Sequences in Nature

The Fibonacci sequence appears throughout nature in the arrangement of leaves, the spirals of shells, and the branching of trees. Each number is the sum of the two preceding ones, creating a pattern of growth that maximizes efficiency in biological systems.

Emergent Complexity

Simple rules applied iteratively can produce extraordinarily complex behavior. Cellular automata, flocking algorithms, and reaction-diffusion systems all demonstrate how local interactions generate global patterns beyond prediction.

Formula Wall

e + 1 = 0
F(n) = F(n-1) + F(n-2)
iℏ ∂ψ/∂t = Ĥψ
∇ × E = -∂B/∂t
S = kB ln Ω
ds² = -c²dt² + dx²