With this model, the user constructs interactive geometric figures. The resulting figures can then be deformed with the mouse. Using scripts, we create a very wide variety of figures, some of them very complex when loops or recursion are implemented.
This DKM will be an adaptation of Dr. Geo, for joint use as a DKM module and standalone application.
| canvas r f u |
canvas := DrGeoSketch new axesOn scale: 500.
r := canvas float: 2 at: 0 @ -0.1 from: 0 to: 4 name: 'r' showValue: true.
f := [ :x | r value * x * (1 - x) ].
canvas ray: 0@0 to: 1@1.
canvas plot: f from: 0 to: 1.
u := canvas pointOnLine: (canvas segment: 0@0 to: 1@0) hide at: 0.2.
100 timesRepeat: [ | v |
v := canvas " v sequence term "
point: [ :previous | previous point x @ (f value: previous point x) ]
parent: u.
canvas segment: u to: v.
u := canvas " u is a point on the Ray (0,0) (1,1) "
point: [:previous | previous point y @ previous point y ]
parent: v.
v hide. u hide.
canvas segment: u to: v.
v := u]