15 May
2011
15 May
'11
3:49 p.m.
me>Also, Neil has tweaked some pictures and captions, with one yet pending: http://gosper.org/x=1_y=1o2_d=9_e=1o3.png , clarifying that x=1,y=1/2,δ=9 and ε=1/3 makes an infinite triangular spiral, despite 0 < δ ε < 4.
This should bother you. The recurrence is reversible, so no point is repeated. But how can the time-reversed spiral shrink indefinitely if the points are quantized? http://gosper.org/x=1_y=1o2_d=9_e=1o3.p<http://gosper.org/x=1_y=1o2_d=9_e=1o3.png>df . (LCD screen must be perpendicular to line of sight.)
--rwg