通过该模型,用户可以构建交互式几何图形。得到的图形随后可以用鼠标进行变 形。通过使用脚本,我们创建了种类繁多的图形,当应用循环或递归时,其中一 些图形会变得非常复杂。

该 DKM 将由 Dr. Geo 改编而来,可作为 DKM 模块和独立应用程序共同使用。

交互式几何

| 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]