and I'm probably asleep
I got a migraine and threw up because of this
i cant sleep cause of this now
My geometry teacher taught me this back in my freshman year, and I swear to god, its the only thing Ive retained from high school
The familiar trigonometric functions can be geometrically derived from a circle.
But what if, instead of the circle, we used a regular polygon?
In this animation, we see what the “polygonal sine” looks like for the square and the hexagon. The polygon is such that the inscribed circle has radius 1.
We’ll keep using the angle from the x-axis as the function’s input, instead of the distance along the shape’s boundary. (These are only the same value in the case of a unit circle!) This is why the square does not trace a straight diagonal line, as you might expect, but a segment of the tangent function. In other words, the speed of the dot around the polygon is not constant anymore, but the angle the dot makes changes at a constant rate.
Since these polygons are not perfectly symmetrical like the circle, the function will depend on the orientation of the polygon.
More on this subject and derivations of the functions can be found in this other post
Now you can also listen to what these waves sound like.
This technique is general for any polar curve. Here’s a heart’s sine function, for instance
The Float Table is a matrix of “magnetized” wooden cubes that levitate with respect to one another. The repelling cubes are held in equilibrium by a system of tensile steel cables.
It’s classical physics applied to modern design. Each handcrafted table is precisely tuned to seem rigid and stable, yet a touch reveals the secret to Float’s dynamic character.
what the fuck
This is really awesome, like it will be easier to do electronic circuits but I still enjoy doing it on a circuit board and experimenting on it until you get it right. This is good in notebook though. =)))
An ongoing sadistic project—by Athens-based architect and 3D modeler Katerina Kamprani—that opposes the de rigueur function of design, in a bid to redesign everyday things with a twist, rendering them almost useless but still usable.