This has to be the:

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1 / 7 has an interesting result: the sequence 142857 repeats itself!

At 1 / 142857 this pattern is repeated: 0.000007 000007 000007 …

If you square 1 / 7 you get the series of powers of 2!

(1 / 7)² = 0, 02 04 08 16 … from 128 the numbers overlap!

I don’t know what that’s good for. It’s interesting.

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12:45 pm. Result of my considerations.

Firstly, maths is the language of nature.

Secondly, everything around us can be represented and understood by numbers.

Thirdly: If you represent the numbers of any system graphically, patterns emerge.

Conclusion: Patterns exist everywhere in nature.

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The simplest method for the quadrature of the circle

Source: unknown

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Fake Light Source

Normally you see the reflection of the hemisphere light on the top of the sphere. The calculation is based on the normals of the mesh.

demo

But if you change the normals randomly, you get the impression of many light sources around the sphere.

The function showNormals() will show you the normal vectors

On a panel, one could very easily simulate the glitter of sunlight effects.

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Surfing in the U.S.A. - fluid simulation

demo

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Back to 19

If you divide the one (1) by 2, then again by 2, then again by 2, etc. and add up the fractions, each shifted one place to the right, the result is a sum of 0.526315… The reciprocal of this goes to : 1.9

Tattoo Creator

• first record the path of the dots
• then use the linesystem
• and the greasedLineSystem (which has no lines attribute b.t.w. Roland

demo

Coding Challange!

Write a programme that displays an image in this way.

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I found it in the net. You can use any image you like for this task.

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I should actually give you full marks. You’ve done the job!

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Wish you had been my prof at uni

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Trolling like a Sir!

Thanks to claude.ai. This is the first approach.

Me: I have an image and would like to display it artistically. Lines run horizontally and when the colour of the pixel it is on changes it moves the line up or down depending on what colour value it has from grey.

Claude: That sounds like an interesting artistic technique for transforming images. Here is a description of how this effect could be realised…

image line art - Mona Lisa

change this line to get a smoother effect:

const diff = 0.25*(gray - prevGray);

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A new star constellation “Mona Lisa”

demo

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Another coincidence of numbers in connection with the 19 + 81

If you write these numbers one below the other

81
19

and look at them crossed you can read

11 and 89

As I said, if you add up the Fibonacci numbers by one digit, the reciprocal value goes to 89

If you write the powers of 11 one below the other, you get the Pascal’s triangle. Attention: from a given size the numbers overlap!

If you add up the numbers in Pascal’s triangle crosswise, you find the Fibonacci numbers!

This is divin perfection to me!

… and another little gimmick. The ratio of the Fibonacci numbers goes towards phi = 1.6180…

16 / 18 is interesting, as it results in 0.888888…

The 0 as a symbol for nothingness or void stands opposite an infinite number of infinities (8)…

I’ve been trying to build my own neural network for the last few days, watching videos and getting nowhere. This morning it occurred to me that I could ask a AI… Why didn’t I think of this glorious me before? claude.ai is awesome!

neuronal net | Babylon.js Playground (babylonjs-playground.com)

The aim is to align the small network with the target values.