Project Euler Has This Problem Called Laserbeam. It Starts As One Thing But Leads Somewhere Completely

Puns are a SIN

Rblue = (Rgreen + Rred) / 2

If one remembers this particular episode from the popular sitcom ‘Friends’ where Ross is trying to carry a sofa to his apartment, it seems that moving a sofa up the stairs is ridiculously hard.

But life shouldn’t be that hard now should it?

The mathematician Leo Moser posed in 1966 the following curious mathematical problem: what is the shape of largest area in the plane that can be moved around a right-angled corner in a two-dimensional hallway of width 1? This question became known as the moving sofa problem, and is still unsolved fifty years after it was first asked.

The most common shape to move around a tight right angled corner is a square.

And another common shape that would satisfy this criterion is a semi-circle.

But what is the largest area that can be moved around?

Well, it has been conjectured that the shape with the largest area that one can move around a corner is known as “Gerver’s sofa”. And it looks like so:

Wait.. Hang on a second

This sofa would only be effective for right handed turns. One can clearly see that if we have to turn left somewhere we would be kind of in a tough spot.

Prof.Romik from the University of California, Davis has proposed this shape popularly know as Romik’s ambidextrous sofa that solves this problem.

Although Prof.Romik’s sofa may/may not be the not the optimal solution, it is definitely is a breakthrough since this can pave the way for more complex ideas in mathematical analysis and more importantly sofa design.

Have a good one!

Essa animação é o mesmo modelo descrito na publicação abaixo 👇👇👇

Semi-regular polyhedra transformations.

These transformations are same as the models in this post.

Pois eu tbm tenho a dúvida se a partir do dia 17/12/2018 isso será permitido no TumBRL???

Now it’s time to play “is this a contour plot too racy for Tumblr?”

Kelvin-Helmholtz clouds

are also known as “rotor clouds” and their spiraling pattern is the effect of a cloud generating a billowing wave pattern, which is a very rare occurrence. They happen when there is a severe vertical shear between two air streams, producing the upper-level winds to blow faster than the lower-level winds. Images © WSLS 10, Dave Throup, Vivian Knezevich

Calculating the surface area of a sphere. Found on Imgur.

Plate 17. Guide to the construction of Gothic details. 1888.

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