Line designs are created by connecting points
on lines or curves with straight line segments. When carried out
on cardboard with sewing needle and thread, the process is referred to
as Curve Stitching or String Art.
If the family of straight line segments that
comprise a line design are generated by a particular mathematical rule,
a classic mathematical curve will be outlined. Each of the line segments
will be tangent to the curve in question. Mathematicians refer
to the family of line segments as an envelope. By simulating
the connection process on a computer, you can explore the different curves
(or collection of curves) that can be generated and see what happens when
the values of the variables associated with a mathematical rule are changed.
Select a line design program from the drop
down list below and press Load. [You will find links
to information about each of the line design programs beneath the applet
screen.] Click on the applet screen when the corresponding typed
program appears, type "r" for run and then hit Enter. Many
of the programs will allow you to change different aspects of the design
you are creating. When asked questions, type in the desired values
and hit Enter. When done, use the drop down list to select
another program.
Line Design Programs
Below are links to each of the different line
designs that can be created. On the page for any particular design,
there is a a screen dump of the design (generated by a PC/DOS Spectrum
Emulator), an explanation of how the design was created, and suggested
values for your own creations. Do not feel that you have to stick
to the suggested values. Have fun and see what happens if you enter
something completely different.
