Need help with contraconcave mirrors

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need help with contraconcave mirrors...

i saw the video of mirage illusion on the inter-net .it consists of two concave mirrors placed in front of each other such that focus point on each mirror is on the pole of the other mirror.one of the mirrors has a hole in between.i decided to make one for myself(as i can't get it here where i live).i calculated that the aperture of the mirrors should be equal to ?7 times their focal length(f*2.64).are my calculations correct?also,what size should i make the hole?i am asking this since i can't take risk of ordering wrong mirrors,since i can't get them here,so they will be costly.please answer.thanks in advance!
 
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thank you for your answer!i am going to go with my calculations,and use the corresponding focal lengths(what's science if there is no risk?:smile:)as for the size of the hole,i am definitely following your advice.again,thanks!:smile:
 


as for my calculations,i have uploaded a rough diagram as an attachment.i used the mirrors as as part of two spheres,intersecting each other.since focal length is half the radius of curvature,the line segment joining the two centers is trisected,with each part equal to focal length.between the mirrors,f is bisected again (just an imaginary bisection,to ease the calculation).applying pythagoras' theorem,we get half of aperture = root7 / 2 times f.so, aperture is root7 times f.
 

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