Update cheatsheet.en.md

12.temporary_ins/69.waves/10.n1/20.overview/cheatsheet.en.md

 ---
-title: Les ondes
+title: Waves
 published: true
 routable: true
 visible: false
@@ -48,19 +48,127 @@ $`\def\PSclosed{\mathscr{S}_{\displaystyle\tiny\bigcirc}}`$
 <br>
 
 
+<br>
+
+#### The ripples pass, the leaf remains
+
+To do
+
 <img src="https://m3p2.com/fr/temporary_ins/waves/n1/overview/wave-no-carry-matter_L500.gif" alt="Description du GIF" style="width:100%; height:auto;" />
 
+<br>
+
+-------------------
+
+<br>
+
+#### Le Canard et son Sillage
+
 <img src="https://m3p2.com/fr/temporary_ins/waves/n1/overview/sillage-a_v3_L900.gif" alt="Description du GIF" style="width:100%; height:auto;" />
 
-!! <details markdown=1><summary>To go further</summary>
-!!
-!! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/waves-doppler-immob_1ok_L900.gif)
-!!
-!! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/wave-doppler-subsonic_L900.gif)
-!!
-!! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/doppler-moving-source-mach1-v2_L900.gif)
-!!
-!! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/mechanical-waves-doppler-hypersonic_L900.gif)
-!! </details>
+##### **The little stream in the public park**
+
+Every morning, as the first rays of the sun caressed the paths of the grand public garden,
+a duck would paddle up the winding stream that meandered through the flowerbeds before widening
+into the garden’s large pond. Children loved to stop halfway across a small arched bridge
+(spanning the stream’s two banks with its gentle curve) to watch the ducks pass by,
+tossing breadcrumbs or pebbles to make ripples in the water.  
+
+*"Look!"* whispered Emma one day.
+*"The duck—it doesn’t make waves like we do… It’s drawing a path!"*
+
+#### **The Mystery of the V**
+
+*Emma threw a pebble. Plop!* The ripples spread out,
+slow, centered, and even.
+
+But *the duck*—it *didn’t make circles*. Behind its paddling feet,
+*the waves didn’t ripple outward in rings*: they formed two sharp lines,
+like the arms of a giant compass sketching an invisible road.
+
+— *"Why are its waves different from ours?"* Emma asked her grandmother,
+who sat nearby on a stone bench by the shore.
+Her grandmother smiled, adjusting her scarf.
+
+— *"Because it moves at a special speed, my dear.* Not fast enough to skim the surface with its wings,
+but just fast enough so the ripples don’t have time to spread around it, like they do for a pebble.
+Instead, they cling to its sides… and draw that V, like an arrow pointing its way."
+
+— *"So… the duck is an explorer?"*
+
+— "In a way, yes. It reminds us that *even the simplest things can hide wonders*,
+if we take the time to look."
+
+
+##### **Emma’s Experiment**
+
+Emma then walked over to a small dead branch beneath a bush on the shore, picked it up,
+and crouched by the water’s edge.
+
+When she dipped the branch into the water, ripples formed circles, just like the stone.
+So *she dragged the branch across the surface*, first slowly—making rings—then *a little faster*.
+And suddenly… *a tiny V appeared behind the branch!*
+
+— *"I did it like the duck!"* she exclaimed, her eyes sparkling.
+
+Her grandmother nodded, amused.
+
+— "You’ve just discovered a *secret that sailors and engineers know well*.
+When something moves at just the right speed, the water draws it a path.
+It’s called the *Kelvin wake*."
+
+— *"Is it like magic?"*
+
+— "It’s a little like magic, but *magic we can explain. And that makes it even more beautiful, don’t you think?"*
+
+*Sometimes, all it takes is moving at the right speed for the world to draw you a path.*
+
+
+! <details markdown=1><summary><strong>The Physicist’s Eye</strong></summary>
+! To do
+! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/waves-doppler-immob_1ok_L900.gif)
+!
+! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/wave-doppler-subsonic_L900.gif)
+!
+! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/doppler-moving-source-mach1-v2_L900.gif)
+!
+! ![](https://m3p2.com/fr/temporary_ins/waves/n2/overview/mechanical-waves-doppler-hypersonic_L900.gif)
+! </details>
+
+
+Voici la traduction en anglais américain, respectant la structure markdown, les symboles et les sauts de ligne :
+
+---
+
+!!! <details markdown=1><summary><b>Your Turn to Experiment</b></summary>
+
+!!! **Materials:**
+!!! * A basin or puddle of water
+!!! * A straight object (ruler, stick, branch, or pencil)
+!!! * Patience and a bit of curiosity
+
+!!! **Steps:**
+!!! 1. Glide the object *very slowly*: *observe the circles* it creates.
+!!! 2. *Gradually speed up* until you see *a V shape form*.
+!!! 3. Try with objects of *different shapes* (a leaf, a branch dipping both ends into the water)!
+!!! </details>
+
+!!!!! **Shared Dictionary: "Wake"**
+!!!!! 1. The trail left on the water’s surface by a boat or vessel as it moves.
+!!!!! 2. By analogy: the mark left by the passage of a person, animal, or object; a path or trajectory to follow.
+
+!!!!! **Physicist’s Dictionary:**
+!!!!! *To be completed*
+
+<br>
+
+-------------------
+
+<br>
+
+#### The Ghost Rainbow Garland
+
+*To be completed*
 
 ![](interference-diffraction-waves-television_L1200.jpg)
+