Talk:Ultron

Size analysis
\(u_{0,1} \approx f_{\omega+1}(10)\)

\(u_{n,1} \approx f_{\omega+1}^n(10)\)

\(u_{0,2} \approx f_{\omega+3}(10)\)

\(u_{n,2} \approx f_{\omega+3}^n(10)\)

\(u_{n,k} \approx f_{\omega+2k-1}^n(10)\)

\(u_{100,100} \approx f_{\omega+200}(100)\)

For the hyperultron:

\(u_{(0,1)} \approx f_{\omega2}(ultron)\)

\(u_{(0,n)} \approx f_{\omega2}^n(10)\)

\(u_{(1,1)} \approx f_{\omega2+2}(10)\)

\(u_{(2,1)} \approx f_{\omega2+4}(10)\)

\(u_{(k,1)} \approx f_{\omega2+2k}(10)\)

\(u_{(10,10,1)} \approx f_{\omega3+1}(10)\)

\(u_{(10,10,1)} \approx f_{\omega3+1}(10)\)

\(u_{(10,10,10)} \approx f_{\omega3+2}(10)\)

Definition for more dimensions is a bit unclear.

\(v_1 \approx f_{\omega4}(10)\)

\(v_{(10,10,1)} \approx f_{\omega5}(10)\)

\(v_{v_{ultron}} \approx f_{\omega8}(ultron)\)