Drag left and right on the pizza slice at the Last Pizza Slice. Notice how the the straight horizontal cut that evenly divides the pizza moves up and down a little? That's it. That's all this website does. We're done here.
My middle-school-aged son asked me how one would cut such a slice of pizza, given that it was a 14-inch pizza, and it had eight slices, so each slice's angle, θ, was 45°.
Want to solve it yourself? Stop reading, spoilers follow:
It took me longer than it should have to figure it out. I knew it'd be possible, but my trigonometry was rusty.
Of course, having eventually solved the simple problem, I began to suspect that the location of the cut would move subtly if you vary the angle of the slice. Obviously, that calls for an open-source website, and here we are.
Once θ grows to be over 1.9 radians the problem became more interesting and I had some trouble coming to a solution. The shapes of the two halves require more complicated math.
Being confronted with that challenge was irresistable.
Yes.