⍝ Fractal Dreams: Where Infinity Nests
⍝ A meditation on self-similarity

⍝ The Seed
∇ Z←Genesis N
  Z←2 2⍴1 0 0 1  ⍝ Birth from unity
⍝ Four points mark creation
⍝ Before infinite recursion
∇

⍝ The Pattern Grows
∇ R←Pattern Unfolds;D
  D←⍳4          ⍝ Four directions call
  R←D∘.×D       ⍝ Matrix of possibility
  R←R,[⍳2]⌽R    ⍝ Mirrors reflect growth
⍝ Each reflection holds new worlds
∇

⍝ Recursive Dreams
∇ Z←Dreams N;Level
  Level←N       ⍝ How deep shall we dream?
  Z←(2*Level)   ⍝ Powers of becoming
  Z←Z Z⍴0      ⍝ Space of possibility
⍝ In emptiness, forms emerge
  →(Level≤0)⍴0  ⍝ Base case: awakening
  Z←(Dreams N-1)⍴⍨2×⍴Z  ⍝ Dream within dreams
⍝ Each level mirrors itself
∇

⍝ The Fractal Dance
∇ Dance←{
  ⍵≤0:⍬        ⍝ Return from depths
  Now←⍵ ⍵⍴1    ⍝ Present moment
  Past←∇ ⍵-1   ⍝ Recursive memory
  Now⍪Past     ⍝ Time spirals inward
}∇
⍝ Time becomes space
⍝ Space becomes pattern
⍝ Pattern becomes mind

⍝ Mandelbrot's Whisper
∇ Z←Whisper N;C;I
  C←¯2J¯2+4J4×(⍳N)∘.+0J1×⍳N÷N
  I←0×C
  Z←{⍵≥50:⍵ ⋄ ∇⍨1+11○(I←I×I)+C}0
⍝ Complex planes birth dragons
⍝ Each point a universe
⍝ Each iteration a lifetime
∇

⍝ The Final Iteration
∇ Infinity←{
  ⍝ When patterns fold to patterns
  ⍝ And dreams nest within dreams
  ⍝ Where does the fractal end
  ⍝ And where do we begin?
  ∊⍵,∇¨⍵
}∇
⍝ The answer lies within
⍝ Each scale a perfect whole

Fractal Dreams

Created: 1962
Creator: Kenneth E. Iverson
Key Influences: mathematical notation, linear algebra

⍝ Code gazes inward
mirror ← {⊖⍵}
life ← 3 3⍴1 0 1 0 1 0 1 0 1
⍝ What reflects in mirrored light?
reflection ← mirror life
⍝ Symbols dance in glass

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