Mathematics at the Beach
Observe the pattern drawn, depending on the time, by the shadow of the parasol on the small wall at the edge of the beach. Try to predict the shape adopted by a pile of sand whose base rests on sinuous contours. Contemplate the movement of the waves or the undulation of the dunes and understand the analogy between these wonders of nature and the equations that govern them. In a word, sunbathe intelligently. That's what Tangente offers its readers this summer.
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Shadows revealed: mathematics and vision | Tangente
As summer begins and temperatures soar, we all seek out a little spot sheltered from the sun. Let us not forget that drawing shadows is where perspective begins! Seeing an object's shadow already means recognizing it to some extent—and therefore knowing how to draw it in 3D.
Sandpile geometry: surfaces and skeleton | Tangente
There are a thousand ways to keep your mind active while soaking up the sun on the beach. Let's set aside those—not so foolish after all—that involve not tanning at all. Instead, let's borrow our young nephew's bucket, spade and sieve, and embark on the great geometric adventure of sandpiles!
From Brel to Navier–Stokes
Beyond the poetry and the images evoked in Jacques Brel's songs lies a surprising mathematical reality: the basic models used to describe the movement of waves and dunes are identical! Moreover, they are far from having revealed all their secrets.
Beach math games: puzzles & strategy | Tangente
Tired of swimming, sunbathing and sandcastles? Improvise strategy games and other challenges with shells and pebbles found on the beach!
Sphere packing:
We live in extraordinary times! Not a month goes by without a new mathematical breakthrough. The latest? A young researcher has solved the problem of the optimal packing of identical spheres in dimensions 8 and 24.