Fractals in Pure Lambda Calculus
Encoding
Example
Rendering
Reduction
Fractals
Sierpiński Triangle
T-Square
“Sierpiński
Carpet”
Cantor Dust
Utilities
Pure lambda calculus has encodings for many different data
structures like lists, numbers, strings, and trees. Wrapped in monadic IO, lambda calculus
provides a great interface for computation – as can be seen in
user-friendly syntactic variants like my programming language bruijn. Such simple languages,
however, typically don’t support graphical output (aside from
ASCII art).
I p...
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