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If a concave mirror is pointed at a convex mirror (with exactly corresponding curvature), will it create the same 'infinity' effect that you get with two regular mirrors?
I know this is a weird place to be asking such a question - consider it a compliment to the general level of intelligence I've observed here. If you know of a better place to ask the question (or of a way I can test it), please let me know too.
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frostcircus: If a concave mirror is pointed at a convex mirror (with exactly corresponding curvature), will it create the same 'infinity' effect that you get with two regular mirrors?
I know this is a weird place to be asking such a question - consider it a compliment to the general level of intelligence I've observed here. If you know of a better place to ask the question (or of a way I can test it), please let me know too.

My... Brain... argh!
(Do let me know what turns out to occur ;)
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frostcircus: If a concave mirror is pointed at a convex mirror (with exactly corresponding curvature), will it create the same 'infinity' effect that you get with two regular mirrors?
I know this is a weird place to be asking such a question - consider it a compliment to the general level of intelligence I've observed here. If you know of a better place to ask the question (or of a way I can test it), please let me know too.

I don't know about the ease of testing with actual mirrors, but how about two large and very shiny spoons? Easiest household object for a rough test.
I'd imagine you would get the infinity effect, but each generation is flipped.
I think it could but unless I'm mistaken, the mirrors would have to be placed very carefully. The reflection would end up being lensed inward by the convex and outward by the concave so to get a proper infinite mirror effect, you might have to place them at an exact point.
Are we talking about some kind of superlaser here? If so, put me down for a preorder
For the most part, no. While a few vectors would result in the light ray bouncing back and forth between the mirrors numerous times, for most vectors the light would quickly be reflected out from between the mirrors. If you want to prove this to yourself and lack the mirrors to actually test it, simply draw out a concave and convex surface in two dimensions, choose a vector for your light ray, then just trace its path (remember that whenever the light is reflected angle of reflection = angle of incidence).
Hmm, you're right. Should've been obvious, now that you mention it - any distance greater than zero between the two mirrors makes the correspondence of the curves totally pointless.
Theoretically speaking, could a convex and a concave mirror-pair be designed so that (when positioned at a certain distance to one another) the infinity loop was created? Or is that not physically possible?
This is just for a story, by the way. Or rather, as part of an attempt to close up a plothole in a story. There are other ways around this, but I liked this one, so it's a shame it didn't work out.
Post edited July 19, 2009 by frostcircus
I don't think that would be possible using a concave-convex mirror pair, although it should be achievable using two concave mirrors placed so that the distance separating them was 2 times the focal length of each mirror.
That wouldn't work with the story, unfortunately. The mirrors need to be physically different, and entirely symbiotic - in fact, mirrors of the same type specifically need to not work together; that's the plothole I was trying to fix. I can't argue with physics though.
I've already started rewriting, and in a way it's kind of a blessing. The story's being used for a song, and the new version is more simplistic and won't be such a nightmare to convert into lyrics. :)
Thankyou so much, by the way.
what if the mirrors were diffrerent sizes? Like the concave was 3 times the size of the convex? Wouldn't that allow distance between them?
also, what the hell kind of song is this??
Post edited July 19, 2009 by Aliasalpha
The idea as my friend gave it to me was "a mirror looks at another mirror."
He was actually just making a joke about how post-modern and self-referential a lot of my writing is, but the idea triggered something anyway, and I blew it up into a huge fable-parable-thing.
But even huge fable-parable-things need to obey the law of physics so thanks to this thread, I rewrote most of the story.
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Aliasalpha: what if the mirrors were diffrerent sizes? Like the concave was 3 times the size of the convex? Wouldn't that allow distance between them?
also, what the hell kind of song is this??

Yes it would. Think of a satellite dish, and the placement of the receiver. Basically, the "infinity" effect only works at right angles to the reflective surface, even with flat mirrors. With a small, inner convex mirror, and a large outer concave one, it should be possible to do what you describe.
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frostcircus: The idea as my friend gave it to me was "a mirror looks at another mirror."
He was actually just making a joke about how post-modern and self-referential a lot of my writing is, but the idea triggered something anyway, and I blew it up into a huge fable-parable-thing.
But even huge fable-parable-things need to obey the law of physics so thanks to this thread, I rewrote most of the story.

So you're making a self referential reference to the fact that you've been described as overly self referential?
This might cause an implosion and destroy the surrounding area. Being in new zealand it might take a few weeks for people to notice...
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Aliasalpha: So you're making a self referential reference to the fact that you've been described as overly self referential?
This might cause an implosion and destroy the surrounding area.

Oh, I did that months ago. :)
Funnily enough, some of the abandoned verses:
[i]and you are taking quite a risk
just by listening to this
for it's something of an existential black hole
i know not what i've sown
toying with powers unknown
this song could well destroy
the fabric of reality
everything undone by a silly little ditty[/i]
http://www.trickynameaudio.com/dailyrefrain/31-mirror-village/ Song turned out quite nicely. Usually I write campy musical comedy, so this was quite a stretch. I should warn it contains religion, though. Fictional religion, but still.
If anyone's still curious about my question, I've just pasted the original story in the comments section. I think it was an interesting little idea, but I'm glad I was talked out of it. Thankyou DarrkPhoenix. :)
I asked my high school physics teacher this question, and he didn't know the answer.
If you were standing inside a hollow sphere with a mirrored internal surface, and if you had a light source, what would you see on the walls?
Post edited July 20, 2009 by Mentalepsy