Archmedean Spiral

[MBeckford05]

Hi Everyone,

I am placed with a problem. How to write a program in Java to produce the Archimeadean Spiral. The progam should look like an Archimedean spiral on the screen.

Any help in hoe to approach the problem would be greatly appreciated

[JosAH]

In polar form the spiral is defined as r = a * t where r is the radius and t is
the angle. The constant a can be any value. The transformation from polar
coordinates to rectangular coordinates isn't that difficult either.

So loop over variable t, calculate r and go back again to rectangular coordinates
(x, y). Draw all points (x, y) or connect consecutive (x, y) points with little lines.
Hint: when t == 0 the radius r == 0 too and so are both x and y.

kind regards,

Jos

[MBeckford05]

In polar form the spiral is defined as r = a * t where r is the radius and t is
the angle. The constant a can be any value. The transformation from polar
coordinates to rectangular coordinates isn't that difficult either.

So loop over variable t, calculate r and go back again to rectangular coordinates
(x, y). Draw all points (x, y) or connect consecutive (x, y) points with little lines.
Hint: when t == 0 the radius r == 0 too and so are both x and y.

kind regards,

Jos

Thank you ! MBeckford05

How do you convert the Archimedean Spiral to Java. Has the program been written to solve the problem. I hav looked in on the Internet and Java text books. I wondering are there any pointers since I am new to prgramming.

Thank You ! MBeckford05

[JosAH]

Thank you ! MBeckford05

How do you convert the Archimedean Spiral to Java. Has the program been written to solve the problem. I hav looked in on the Internet and Java text books. I wondering are there any pointers since I am new to prgramming.

There is no one-to-one correspondce between a formula and a Java program.
Personally I would like to fiddle with the parameter value 'a' as well as the
step size for 't' and the number of full rotations 'k' where t in [0, k*2*pi]. Then
I'd like to press a button and: voom, there's the spiral.

Of course some scaling would be needed, but I think that for t= max, the interval
[-a*max, a*max] for both x and y would be good enough.

Give it a try and when you're stuck with some detail come back here and feel
free to ask.

kind regards,

Jos

ps. programming is not about scavenging google pages and collecting scrapes
of source code. For a really good program most of the time you have to build
it yourself from scratch.