I'm trying to write a program that plots the riemann zeta function

[LastTimelord]

I saw a picture of what it might look like when I was researching it, but I'm confused about something. The picture's caption said that the complex coordinates were darkened as their value got larger, leading to a helpful graph, but I do not understand what scale they used. For my program, I just divided the result of the function by 10000, then used that number to set the darkness of the point, 0 being the darkest and 255 being the brightest. That resulted something that looked remotely similar to the ideal graph, but it really wasn't very decent. There was a slightly curved line going down around the imaginary axis, with a few brighter spots near it going down at regular intervals of about 5 units. (I'm sorry I don't have a picture, but it would be hard to get one).

Anyway- to the question:

What scale do you think I should use to translate the number returned from the function to darkness? Should it be logarithmic, or linear?

 

[fresh_42]

This depends on your goal. A logarithmic scale emphasizes the low values, a linear scale is closer to the actual data. Such things are defined by the goal, not by the method.