(cos(t),0) with (0,sin(t)) as t ranges
over [0,2p].
> x:=cos(t);
> y:=sin(t);
> m:=[[x,0],[0,y]];
> t:=n*Pi/50;
> plot([m$n=1..100],color=green,
scaling=constrained,axes=none);
¡@
| Construct the line segments joining (cos(t),0) with (0,sin(t)) as t ranges over [0,2p]. > x:=cos(t); ¡@ |
|
| Construct the velocity vector field along a constant motion around a circle. |
|
| Construct the line segments joining [cos(t),sin(t)] with [cos(2t),sin(2t)] as t ranges over [0,2p]. |
|
| Construct the line segments joining [cos(t),sin(t)] with [cos(3t),sin(3t)] as t ranges over [0,2p]. |
|
| Construct this graph associated with the logistic equation
x ' = ax(1-x) with a=3.7 ¡@ |
|
| Draw 20 concentric circles as thus: |
|
| Construct the circles with center at (cos(t),sin(t)) passing through the point (1,0) with t ranging over [0,2p]. |
|
| Construct the circles with center at (cos(t),sin(t)) and tangent to the y-axis with t ranging over [0,2p]. |
|
| 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]. |
|
| Construct this figure: |
|
| Construct this pattern: |
|
| Construct the reflections of a light ray inside a square: > m:=1.7123:x:=0:y:=0:v:=[ [x,y] ]: > for k to 100 do xx:=floor(x)+1:yy:=floor(y)+1: if (yy-y)>m*(xx-x) then x:=xx:y:=m*x else y:=yy:x:=y/m: fi: v:=[op(v),[1-abs(x-2*floor(x/2)-1),1-abs(m*x-2*floor(m*x/2)-1)]] od: > plot(v,scaling=constrained);
¡@ |
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