Scientists calculated the ninth Dedekind number.

The Dedekind number is a number with extremely high complexity. The exact value of this number Mathematicians at Paderborn University and KU Leuven, using the Noctua supercomputer and specialized hardware accelerators, have solved a decades-old problem by calculating the ninth Dedekind number, a mathematical sequence of enormous complexity. The exact number, previously thought uncomputable due to its size, is 286386577668298411128469151667598498812366. (scitechDaily.com/Elusive Ninth Dedekind Number Discovered: Unlocking a Decades-Old Mystery of Mathematics)

Modern computer-based R&D systems can make many things. But they need numbers and calculations that are possible to transform geometrical form. The system requires certain types of fractals. The Dedekind's cut is a tool that can use to make complicated fractals. And that complicated structures can turn into models for nanomachines. The Dedekind cut is one of the tools.

The Bing-AI created fractals made using Dedekind Cut. The command was to make me fractal by using Dedekind cut. Dedekind cut is not precisely the same as Dedekind number.

"New capability for analyzing single atoms combines X-ray beams from Argonne’s Advanced Photon Source and atomic-scale imaging possible with a scanning tunneling microscopy probe. Credit: Argonne National Laboratory" (ScitechDaily.com/For the Very First Time: Scientists Analyze a Single Atom With X-Rays)

The newest nano-operating systems can observe single atoms using X-rays. The ability to create complicated structures requires the possibility to observe all its components.

That can use to model complicated structures for CAD/CAM processes. And also the laser billiards that create the nanomachines and nanostructures are CAD/CAM systems. The nanotechnical CAD/CAM systems require images. And then they fill that image with atoms.

The ability to observe single atoms using X-ray imaging technology is the next step in nano-and quantum technology. That system can make it possible to see and control single atoms in complicated structures.

Those complicated structures can be in nanomachines. Or they can be inside the enzymes and proteins. The most important thing in enzyme interaction is that the right surface of the enzyme is at the right position. That thing can control by manipulating fractals.

https://scitechdaily.com/elusive-ninth-dedekind-number-discovered-unlocking-a-decades-old-mystery-of-mathematics/

https://scitechdaily.com/for-the-very-first-time-scientists-analyze-a-single-atom-with-x-rays/

https://interestingengineering.com/innovation/supercomputer-ninth-dedekind-number-problem

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