-De Casteljau's algorithm of 1959 is often used for approximating B{\'e}ziers\cite{computergraphics2, knuth1983metafont}. This algorithm subdivides the original $n$ control points $\left\{P_0, ... P_n\right\}$ into $2n$ points $\left\{Q_0, ... Q_n\right\}$ and $\left\{R_0, ... R_n\right\}$; when iterated, the produced points will converge to $P(t)$. As a tensor equation this subdivision can be expressed as:
+De Casteljau's algorithm of 1959 is often used for approximating B{\'e}ziers\cite{computergraphics2, knuth1983metafont}. This algorithm subdivides the original $n$ control points $\left\{P_0, ... P_n\right\}$ into $2n$ points $\left\{Q_0, ... Q_n\right\}$ and $\left\{R_0, ... R_n\right\}$; when iterated, the produced points will converge to $P(t)$. As a tensor equation this subdivision can be expressed as\cite{goldman_thefractal}: