The Koch Curve can be cut into four pieces, each of which are formula_1 of the size of the original. We call the number of pieces that a fractal can be cut into formula_2, and we call the size difference formula_3. We put those into the equation:
ð ə WORD_BOUNDARY k ɑ k WORD_BOUNDARY k ɜː v WORD_BOUNDARY k æ n WORD_BOUNDARY b iː WORD_BOUNDARY k ʌ t WORD_BOUNDARY ɪ n t ʊ WORD_BOUNDARY f ɔ ɹ WORD_BOUNDARY p iː s ɪ z WORD_BOUNDARY iː t̠ʃ WORD_BOUNDARY ə v WORD_BOUNDARY w ɪ t̠ʃ WORD_BOUNDARY ɑ ɹ WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY w ʌ n WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY s aɪ z WORD_BOUNDARY ʌ v ð ɪ WORD_BOUNDARY ə ɹ ɹ ɪ d̠ʒ ɪ n ə l WORD_BOUNDARY w iː WORD_BOUNDARY k ɔ l WORD_BOUNDARY ð ə WORD_BOUNDARY n ʌ m b ə ɹ ɹ WORD_BOUNDARY ʌ v WORD_BOUNDARY p iː s ɪ z WORD_BOUNDARY ð æ t ə WORD_BOUNDARY f ɹ æ k t ə l WORD_BOUNDARY k æ n WORD_BOUNDARY b iː WORD_BOUNDARY k ʌ t WORD_BOUNDARY ɪ n t ʊ WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY t uː WORD_BOUNDARY æ n d WORD_BOUNDARY w iː WORD_BOUNDARY k ɔ l WORD_BOUNDARY ð ə WORD_BOUNDARY s aɪ z WORD_BOUNDARY d ɪ f ɹ ə n s WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY θ ɹ iː WORD_BOUNDARY w iː WORD_BOUNDARY p ʊ t WORD_BOUNDARY ð oʊ z WORD_BOUNDARY ɪ n t ʊ WORD_BOUNDARY ð ɪ WORD_BOUNDARY ɪ k w eɪ ʒ ə n WORD_BOUNDARY