1.Construct this pretty flower 2.Construct the line segments joining (cos(t),0) with (0,sin(t)) as t ranges over [0,2p]. 3.Construct the velocity vector field along a constant motion around a circle. 4.Construct this figurer. 5.Construct the line segments joining [cos(t),sin(t)] with [cos(2t),sin(2t)] as tranges over [0,2p]. 6.Construct this figure. 7.Construct this graph associated with the logistic equation x ' = ax(1-x) 8.Draw 20 concentric circles as thus. 9.Construct the circles with center at (cos(t),sin(t)) passing through the point (1,0) with t ranging over [0,2p]. 10.Construct the circles with center at (cos(t),sin(t)) and tangent to the y-axis with t ranging over [0,2p]. 11.Construct the circles with center at (cos(t),sin(t)) and and passing through (2cos(t)/3+cos(2t)/3,2sin(t)/3+sin(2t)/3) with t ranging over [0,2p]. 12.Construct this figure. 13.Construct this pattern. 14.Construct the reflections of a light ray inside a square.
> restart:
> x:=0.7:
> a:=3.7:
> y:=a*x*(1-x):
> m:=[]:
> for k to 200 do m:=[op(m),[x,x],[x,y]]:x:=y:y:=a*x*(1-x):od:
> plot ([m],color=red,scaling=constrained);