On light

For many many years, since the start of man, light has been an amazing thing. Fire was made for the sake of light. It was hailed as a great invention. Fluorescent light bulbs have such successful inventions in the history of man such that nowadays, even good and creative ideas in comics have been represented with the lighted bulb symbol over the head!
Over the years, light sources have gradually become more efficient, starting with the failed matchstick/candle/candle lantern/bonfire (ok this one IS bright, but that's a problem of scale)/fires in general, and followed by the incandescent light bulbs (remember those white street lamps that were replaced with yellow?*), to the imba light bulbs used today! Technology advances have been so great that for select areas the lighting can even match daylight in terms of brightness! At this rate, are we all headed to doom by blindness owing to overluminousity?
Fret not! So what if light bulbs get more powerful? The light can be split over many different areas!
Such a brilliant idea! We know that light can be put through prisms, reflected across mirrors, sliced and diced and have weird stuff done to it, and hence can be spread across a larger area! But has anybody thought of splitting it across time? (uh oh)
Global warming has forced everybody into caves (manmade tunnels that curve a long long way underground/through hills and twist and turn and turn and twist and are really really long (about 100 million kilometers before leading to actual human civilisation, so as to provide insulation) .
Now, man has made a total of five tunnels, of which entrances are all facing the end of a certain road (picture included below) and to provide light, a giant spotlight has been built and the end of the road! The giant spotlight shines into each tunnel for 1 second, takes 1 second to turn, and shines for 1 second, turns for 1 second etc. That is to say, if 1/10 of the power is used to shine into each tunnel, all will be well!

Map of end of road


Road
. \
. \ /
. -- S --
. / \



Now, there is nothing to split the light evenly among all 5 tunnels, so 1 second of light is required to light up each tunnel for 10 whole seconds! Now, light sharing is an already effectively established system within each tunnel, but... HEADACHE! Splitting light across time is such a huge problem!... or is it?
As luck would have it, the walls of the tunnel and quite irregularly shaped, and as such some clever people decided that planting mirrors along the sides of the walls would be good, such that light actually gets to the part of the tunnel where it is needed. So every surface in the tunnel is blocked by perfectly clear mirrors (ie no loss of light through reflection). If a particle of light were a sapient** being, and it wished to travel from the spotlight to the end of a tunnel, it would take about 5 minutes and 30 seconds (right?). However, as we know it, a light particle is not exactly sapient, and would prefer to travel in straight lines until it is bumped on. Hence, the percentage of light particles that travel in the abovementioned "optimal path" would be of an extremely small percentage, and as such there will be a distribution of light over time even if the spotlight shone for an infinitesimally short timespan.
Hence, man survives using light solely from the spotlight, and gets relatively even light over time. Is that not a perfect solution?
Any comments? (Honestly, does it even work?????)



* Was that even true?
* My understanding of sapience is the ability to know what one wants to do the way a human does (and in this case, do it)


P.S. A rather uninteresting solution to disproving it that I foresee is that it is physically impossible to produce the amount of light needed to illuminate such large areas, or something to the effect, but as that is rather unsatisfying, those who propose that could try the following variation. Would a similar effect be observed on a much smaller scale?

Tada! It's me again. And today I have a ""Life"" question for everyone!





In an infinite grid, there are squares of 2 colours!


The two colours and black and white!


There is something strange about the grid!


Oh! The colours of the grid are randomly generated!


Pause.


There is an x% chance that each square is white!


(Note: x may or may not be 50%)


Me comes along!


(No bad grammar there, Me is a person representative of well...me.)


Me defines a continuous block as a group of connected squares!


Two squares are connected if they satisfy two criteria!


First, they must be adjacent!


Secondly, they must be of the same colour!


Me has picked a random square from the grid (0,0)!


(0,0) is an arbitrary point!


Me knows that (0,0) is white!


For what range of x is it possible (more than 1/inf% chance) that (0,0) is part of an infinite continuous block?


And what is the chance (in terms of x) that it is possible that (0,0) is part of an infinite continuous block? (take x to be above the limit taken to make it possible to have an infinite block)

Sequences

Tada! Finally a new post after a long, loong, looong time of inactivity. This post is almost contentless except for a few devilishly hard sequences which I would like to share with everybody.

16, 4, 2, 21, 24, ?, ?, ?
14, 15, 20, 19, 3, 1, 18, 25, ?, ?, ?
9, 12, 15, 24, 3, ?, ?, ?
19, 7, 15, 20, 24, ?, ?, ?
17, 23, 23, 24, 11, ?, ?, ?

Anyway, if you solved ...

0 --- You aren't the best at seeing patterns
1-2 --- You saw more than me. Let that be consolation.
3-4 --- Keep up the good work.
5 --- HOW LONG WERE YOU STARING AT THOSE SEQUENCES!!!

Have fun with those sequences.