Parisien
Comme disaient Saint-Jacques, Saint-Jean et Saint-Bertrand : Il n'y a pas de Parisiens de gauche ou de Parisiens de droite, il n'y a que des Parisiens
DO NOT touch that keyboard. This is one of the most dangerous attacks circulating right now.
This is called a ClickFix attack. It is not a CAPTCHA. It is not a verification step. It is a social engineering attack designed to make you execute malicious code on your own machine while believing you are proving you are human.
Here is exactly what happens if you follow those steps.
The fake page has already silently copied a malicious PowerShell command to your clipboard without you knowing. It happened the moment the page loaded. You did not click anything. You did not consent to anything. The clipboard was written to in the background by JavaScript running on the page.
When you press Win + R you open the Windows Run dialog. When you press Ctrl + V you paste that malicious command directly into it. When you press Run you execute it with your own permissions on your own machine. No exploit needed. No vulnerability needed. You did it yourself. Willingly. While thinking you were completing a CAPTCHA.
The payload varies. Researchers have documented ClickFix delivering infostealers, remote access trojans, and credential harvesters. The malware executes instantly and silently. By the time the Run dialog closes the damage is done.
The reason this attack works so well is threefold. The fake CAPTCHA looks visually identical to a real one. The instructions sound technical and therefore trustworthy. And critically, you are the one executing the command so endpoint security tools see a legitimate user action rather than an automated attack.
Real CAPTCHAs never ask you to open Run dialogs. Real CAPTCHAs never ask you to paste anything. Real CAPTCHAs never give you keyboard shortcuts.
If a webpage ever asks you to press Win + R for any reason, close the tab immediately.
Logarithmic Spiral âïž
It is a curve that looks the same no matter how much you zoom in or out. Whether you look at a small part near its center or a larger section far away, the proportions and curvature remain identical, just at different sizes. Swiss mathematician Jacob Bernoulli found this endless self-similarity so fascinating in the seventeenth century that he requested it be carved on his tombstone. This shape appears throughout nature, in nautilus shell chambers, hurricane arms, sunflower seed patterns, and the sweeping arms of spiral galaxies. It shows up wherever something grows based on its current size. The spiral in this diagram doubles in size with every complete turn around its center. The diagram connects this directly to music. An octave is the interval between one note and another note with exactly double the frequency. So, spiral doubling and musical octave doubling share the same mathematical pattern. Along the spiral, reference points marked with powers of the golden ratio, approximately 1.618, help illustrate this idea. The golden ratio is one of the most famous numbers in mathematics and art. It connects deeply to the Fibonacci sequence, where each number is the sum of the two before it. If you divide consecutive Fibonacci numbers, you get closer to the golden ratio the further you go. This is a real mathematical fact, not just a coincidence.
Thereâs also a visual reason the golden ratio connects to spirals. If you create a rectangle with golden ratio proportions and repeatedly cut a square off one end, the remaining rectangle is always another perfect golden rectangle, just smaller. The arcs connecting these endlessly nested squares trace out a golden spiral.
It's important to note that while the connection between spiral doubling, musical octaves, and the golden ratio is real and elegant, labeling the diagram's axes as frequency in hertz and wavelength is more of a storytelling choice. This choice is meant to make the abstract spiral mathematics feel more tangible rather than presenting literal physical data. The main idea is that logarithmic spirals, the golden ratio, the Fibonacci sequence, and musical octave doubling are all, despite their different appearances, expressions of the same mathematical concept. They show something growing by a constant proportional factor over equal steps, whether that step is an angle around a center, a position in a number sequence, or a note on a musical scale.
The golden ratio Ï â 1.618 defines the side proportions in the golden triangle.
Defined as Ï = (1 + â5)/2, it satisfies the equation ÏÂČ = 1 + Ï and equals the limit of ratios of successive Fibonacci numbers F_n.
Binet's formula expresses these numbers exactly using Ï and its conjugate. The ratio also appears as the infinite continued fraction 1 + 1/(1 + 1/(1 + âŻ)) and produces a self-similar spiral by repeated subdivision of the triangle.
It is used to describe the efficient arrangement of seeds in sunflower heads.
@RERManiall Le problĂšme c'est qu'il faut renvoyer des trains aux terminus de branche, qui rouleraient Ă vide et qui doubleraient les autres trains.
Ou un systĂšme de navette qui fait l'AR entre le terminus et La Fourche qui devient terminus.
Il aurait fallu une 3eme voie.
Cc: @Parmatt_75
A 360° rotation feels like a full turn in everyday life. For spinors, it is only halfway home.
This diagram explores one of the most fascinating ideas in quantum physics: spin œ systems return to their original state only after a 720° rotation. The torus, cardioid, cycloid, and orthogonal wheel constructions are geometric ways to visualize this unusual behavior, where two coupled rotations with a 2:1 frequency ratio produce a complete return to the starting orientation.
It is a reminder that the geometry underlying quantum mechanics can be far stranger than our everyday intuition, yet it follows precise mathematical rules all the way down.