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B.R. & Hendrik - Mysterious Zeta Function

by Marko Daniel Schönenberger

Minted
11 / 49998
Published
2023-03-14

Keyboard controls:

[D] - Download/save the graph-picture.

[C] - Toggle between a full graph and a partial graph.

[S] - Shows the current zeta function values.

"B.R. & Hendrik - Mysterious Zeta Function"
represents a bold expansion of my art project "Riemann Zeta Function," which has already been showcased on FXhash. This new project boasts an improved computational process, and more importantly, a groundbreaking innovation: it generates not only with a zeta-real value of 0.5 but with various other values as well.
"Yo, check it out! I've got an awesome idea to share: the closer the real part gets to the critical line (1/2), the rarer the image becomes. Isn't that boombastic?!"

Regarding "B.R. & Hendrik - Mysterious Zeta Function",
I have the same comments as I did for my previous project, "Riemann Zeta Function (Project #24965)".
The following points apply to both projects:

'Is the Graph of the Riemann Zeta Function considered art, similar to the works of famous artists like Picasso?'

'Whether or not the graph of the Riemann Zeta Function is considered art is subjective and open to interpretation. Some individuals might find the patterns and shapes displayed in the graph to be aesthetically pleasing and view it as a form of art, while others may not. Ultimately, the definition of art is a matter of personal interpretation and can vary from person to person. While the graph of the Riemann Zeta Function may have some artistic elements, it is not directly comparable to the works of artists such as Picasso, as the Riemann Zeta Function is a mathematical concept and not a traditional form of art.'

I'm currently studying the Riemann Hypothesis. My idea was to start by plotting the zeta function Z(1/2 + xi). I searched for an HTML example on Google but to no avail. 'So I have to expand my knowledge', I thought to myself. I need to better understand calculations with imaginary or complex values and find a way to plot the graph from all the formulas.

Wolfram-alpha provided me with relatively accurate Zeta values that I used as a reference to know if I was on the right track. There was also a lot of material for visual representation (i.e. drawn Zeta graphs) and many formulas. It was quite a challenge! But in the end, I got what I wanted: the Zeta graph.

I was then ready to extend the function so that it can be used for the entire real positive range.

Note !!!: I think my Zeta method is technically correct. However, the result can be so inaccurate that one would have to declare the results as incorrect (e.g. for real parts <0.2 / clearly visible).
I assume that this is an error that only has to do with the truncation of decimal values (including rounding errors).
But still, I do not know if my Zeta method is correct!
Especially if you use these html procedures for
serious mathematical work, be extremely careful!

Otherwise, I would simply like to offer you what I was originally looking for: "A ready-to-use solution to plot the Riemann Zeta graph." Best regards.

Project information
fxhash project ID
25945
Runtime
fxhash snippet · params: no
Network
Tezos
Token contract
KT1U6EHmNxJTkvaWJ4ThczG4FSDaHC21ssvi
Issuer (mint) contract
KT1BJC12dG17CVvPKJ1VYaNnaT5mzfnUTwXv
Artist addresses
tz1RLM5tvxorv9aa1YCVZQjrk13B2EacBF4D
Generator URI
ipfs://QmWFNLZJNBguRKkNx5YEVTHqrk6KJqZDrBNjMdkeMmn8Sf
Tags
mathriemannzeta functionAnalytic number theoryMathematical illustrationComplex planeRiemann HypothesisMath graphics
View project on objkt ↗

Editions 11

Ownership snapshot 2026-10-07

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Mint history

Supply
49998
Indexed editions
11
Mint scheduled
2023-03-14T16:38:14.000Z
Primary mints recorded
11
Prices paid at mint
0.25 tez · 11 priced mints

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