Enafika, nafraktala e dua na buila veijiometri e tiko kina na ituvatuva matailalai ena veivakatautauvatataki lailai, e dau tiko kina e dua na ivakarau ni fractal e sivia sara na ivakarau ni topological. E vuqa na fractals e laurai tautauvata ena veimataqali ivakarau, me vaka e vakaraitaka na veivakatorocaketaki veitaravi niMandelbrot seti.[1][2][3][4] Na vakaraitaki oqo ni ivakarau tautauvata ena vakalevutaki ni veivakatautauvatataki lailai e vakatokai natautauvata vakataki koya, kilai talega me vakarabailevutaki ni veivakatautauvatataki se veivakatautauvatataki ni veivakatautauvatataki; kevaka e tautauvata sara ga na veivakatautauvatataki oqo ena veivakatautauvatataki kecega, me vaka enavutovuto Menger, na ibulibuli e vakatokai me affine vakataki koya-tautauvata.[5] Na jiometri fraktala e tiko ena loma ni tabana ni fika niicavacava ituvatuva.
E dua na sala e duidui kina na fraktala mai na iwiliwili ni veijiometri vakaiyalayala na sala era vakarautaka kina. Na vakaruataki ni balavu ni bati ni dua na polikoni vakasinaiti e vakalevutaka na kena vanua ena va, ka sa rua (na ratio ni vou ki na balavu ni yasana makawa) laveti cake ki na kaukauwa ni rua (na ivakarau tudei ni polygon vakasinaiti). Vakakina, kevaka e vakaruataki na radiusi ni dua na vuravura vakasinaiti, na kena iwiliwili e vakalevutaki ena walu, ka sa rua (na raitio ni radiusi vou ki na radiusi makawa) ki na kaukauwa ni tolu (na ivakarau tudei ni vuravura vakasinaiti). Ia, kevaka e dua na fractal ni dua-na-ivakarau ni balavu e vakaruataki kece, na itukutuku ni vanua ni fractal na ivakarau ena dua na kaukauwa e sega ni dodonu me dua na taucoko ka sa raraba levu cake mai na kena ivakarau ni ivakarau. Na kaukauwa oqo e vakatokai naivakarau ni fraktala ni ka veijiometri, me vakaduiduitaka mai na ivakarau ni ivakarau (ka sa vakatokai vakamatanitu naivakarau veitopolji).[6]
↑Falconer, Kenneth (2003).Fractal Geometry: Mathematical Foundations and Applications. John Wiley & Sons. xxv.ISBN978-0-470-84862-3.
↑Briggs, John (1992).Fractals:The Patterns of Chaos. London: Thames and Hudson. p. 148.ISBN978-0-500-27693-8.
↑Vicsek, Tamás (1992).Fractal growth phenomena. Singapore/New Jersey: World Scientific. pp. 31, 139–146.ISBN978-981-02-0668-0.
↑Gouyet, Jean-François (1996).Physics and fractal structures. Paris/New York: Masson Springer.ISBN978-0-387-94153-0.
↑Mandelbrot, Benoît B. (2004).Fractals and Chaos. Berlin: Springer. p. 38.ISBN978-0-387-20158-0.A fractal set is one for which the fractal (Hausdorff-Besicovitch) dimension strictly exceeds the topological dimension
