Prime Spiral -- heard about it at a lecture once, found a PostScript
program that would graph it:
primes-distribution.ps.Made some cosmetic improvements: primes-distribution2.ps
The original would:
- End midway along a side -- now the spiral ends prior to a corner making the final dot pattern a square shape. If the paper dimensions are wider than tall, then the final pattern will be an n by n+1 rectangle.
- Control dot size by way of a dots-per-inch option -- now we can specify the maximum spiral width as a number of dots, which applies if the dots-per-inch parameter is not defined. (example here used a grid width of 11)
- Cover the page completely -- that's optional now, the alternative is to have the square spiral fit within page margins. This is nice if you want to do a screen capture including only whole dots.
- Draw the underlying spiral in black -- now that gray level is a parameter. (example here uses .5 on a gray scale of 0.0 to 1.0) (click on the picture for one that uses a gray value of .7)
to any number of digits, without using extended precision!
- Now in applet form, a Java program that will let you compute digits of Pi on your own computer. You even have control of the format of the output.
- A C version has been put together from ...
- The original Pascal version, which appeared in the Mathematical Monthly. I fixed it so that the output is in blocks of 5 digits, 4 blocks per row, with an extra line break every 5 rows.
- static sample output.
- A java version of this Pi calculator.
- piRadix.java
- IO.java, to get a text prompt capability
- piRadix.class
- IO.class
and you'll be prompted for the number of digits
or: java piRadix 400
to specify a desired number of digits from the command line.
is irrational.
