Every cube is four dimensional, assuming time as the fourth dimension. So it would travel forward in time at a relatively constant rate (since ants don’t typically walk at relativistic speeds [citation needed]) and it would traverse the other three dimensions in normal ant ways.
Unfortunately I don’t think this is true. Every 3D face is the intersection of a 2D plane with the upper and lower bounds of the 3rd dimension. So I think a hypercube “face” would be every 3D “plane” at both the very start time AND the very end time. Meaning the ant would need to immediately accelerate to light speed - so no time would pass - and then (otherwise) normally traverse the faces, wait until the end time, and then repeat the process in reverse (still at light speed).
If the ant can only move a single direction in time, it cannot reach all the time corners. Every corner in 3 dimensional space has a twin corner, at the beginning and end of time. Since the ant can only walk forward in time, it will only reach 2 4D corners, where it started, and where it ended.
I wonder what would have happened if someone had attempted to explain sinusoids to that man. Like, they’d probably be called a dumb evil bastard and some racial and homo/transphobic slurs followed by the sort of logic that only schizophrenics can follow. But still, a chunk of this really is just a man mapping squares on circles
Every cube is four dimensional, assuming time as the fourth dimension. So it would travel forward in time at a relatively constant rate (since ants don’t typically walk at relativistic speeds [citation needed]) and it would traverse the other three dimensions in normal ant ways.
Damnnn bro. They gonna start you at $15 with that kinda mind.
Unfortunately I don’t think this is true. Every 3D face is the intersection of a 2D plane with the upper and lower bounds of the 3rd dimension. So I think a hypercube “face” would be every 3D “plane” at both the very start time AND the very end time. Meaning the ant would need to immediately accelerate to light speed - so no time would pass - and then (otherwise) normally traverse the faces, wait until the end time, and then repeat the process in reverse (still at light speed).
If the ant can only move a single direction in time, it cannot reach all the time corners. Every corner in 3 dimensional space has a twin corner, at the beginning and end of time. Since the ant can only walk forward in time, it will only reach 2 4D corners, where it started, and where it ended.
Interviewer did not define time. I will define it as 0 seconds per second. The ant can not move as movement is impossible at this time scale.
TIMECUBE
I’ve seen this site so many times, and yet open it again each time I come across a link, just to marvel at its unhingedness 🥴
I wonder what would have happened if someone had attempted to explain sinusoids to that man. Like, they’d probably be called a dumb evil bastard and some racial and homo/transphobic slurs followed by the sort of logic that only schizophrenics can follow. But still, a chunk of this really is just a man mapping squares on circles
I was thinking 4 spatial dimensions and was trying to trace a hypercube
You were doing it for free?