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

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SUMMARY

The discussion focuses on plotting the Riemann zeta function and the challenges of visualizing its output effectively. The user initially divided the function's result by 10,000 to determine the darkness of the plotted points, resulting in a graph that lacked clarity. Participants suggest that the choice between a logarithmic and linear scale for translating function values to darkness should be based on the visualization's intended goal, emphasizing that the scale impacts the representation of low versus high values.

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  • Knowledge of programming for graphical output, particularly in languages like Python or JavaScript.
  • Experience with logarithmic versus linear scaling in data representation.
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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?
 
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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.
 

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