← LABPART III · MIND1 / 5
CH1 · KOCH
AXIOM
the initial string, once written
CH1 · KOCH
RULE
replace every segment with a pattern
CH1 · KOCH
ITERATION
four copies, scaled and turned
CH2 · DRAGON
FOLD
fold a strip of paper to right angles
CH2 · DRAGON
UNFOLD
the crease pattern at infinite depth
CH2 · DRAGON
SELF-AVOID
the dragon curve never crosses itself
CH3 · HILBERT
HILBERT
a curve that fills the plane
CH3 · HILBERT
LOCALITY
nearby points remain nearby
CH3 · HILBERT
LIMIT
a one-dimensional object with area
CH4 · PLANT
BRANCH
a grammar for growing upward
CH4 · PLANT
SELF-SIMILAR
each branch is the whole plant
CH4 · PLANT
INFINITE TREE
bounded height — unbounded complexity