Thank you. So much more useful to grasp this relatively simple geometry problem with a few step by step pictures. Wish the link was to this instead of the YouTube clip.
This is very neat. I feel strongly however, that each of the buttons that you have for opening the video ought to directly link to the time stamp in question.
This method of images is also used to add reverberation to audio. If you have some audio and want to make it sound like it was spoken by someone in a room of a particular size, you do a similar thing where you tile the room and then draw lines from the source to every image of the microphone to calculate an impulse response function.
I’d like to see a version of this where the barriers are colored and the lasers are monochrome, but when a laser hits the barrier, instead of disappearing, it takes on that color. That way, you could see which barrier saves the target at any point.
Encircle yourself with the circles? That would be finite and if you're thin enough, might even be minimal? Certainly easier to find the configuration than the actual solution.
(ok ok, it looks like the blockers are point-size, so this wouldn't work of couse)
Or even countably infinite :) One could argue that all finite sets are countable since it's not too hard to find a surjection from the naturals to a given finite set.
It works the other way, the shooter position is fixed as well as your position. Your are allowed to place a finite amount of blockers to make your position safe. The video comment say that it is always possible to make your place safe with at most 16 blockers.
There is a link to the actual code used.
You could try projecting rays from start through the obstacles to see where they intersect after a limited number of reflections. This should narrow it to a few candidate spots
The posted solution seems to work even when the objects have zero area, and are just points in space. If you just surrounded the target with 16 points, there would either be gaps or the points would be infinitesimally close to the target and would occupy the same space.
Both person and obstacles are meant to be infinitesimally small, i.e. points with mass zero, which makes one really appreciate the beauty of the solution.
This way allow you to hide. A tight group of obstacles will give away your position and it will be demolished with a bazooka. Though an attacker might calculate the possible location of your body and use a grenade. But it might be unsafe for himself.
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Blog post: https://jeremykun.com/2018/07/24/visualizing-an-assassin-puz...
Excellent video that I learned of this problem from: https://www.youtube.com/watch?v=a7gp9c2p0UQ
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"Browser from thefuture. Augment your work and your mind with the internet, don't just browse it."
What exactly is synth.app you offering? I couldn't figure it out from scrolling around their homepage a bit.
So for the button you have for time stamp 02:46 you’d link to https://www.youtube.com/watch?v=jJ6FD59U0_E&t=2m46s and for the button for time stamp 03:30 you’d link to https://www.youtube.com/watch?v=jJ6FD59U0_E&t=3m30s and so on. For the very first button however, linking the very start of the video is nice though.
(ok ok, it looks like the blockers are point-size, so this wouldn't work of couse)
(Intended to be mildly humorous.)
https://www.youtube.com/watch?v=jJ6FD59U0_E
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Red Circle: No, Mr Green Circle, I expect you to d̵i̵e̵ find the spot in the mirror room where you won't get hit!
[Red Circle]: I suggest a Duel of Titans, "mano a mano" the only true test for gentlemen.
[Valet leading Green Circle to room of mirrors]: If you kill him, all this be mine. Monsieur, Good shooting.
Although it does also rather make me think of Buster Keaton standing still as half a house falls over him and the cameraman closes his eyes.
https://youtu.be/jgpjnrFEUFI