Three Dimensions Mirror Mania!

Classical Mechanics Level 3

A person is in a room whose ceiling and two adjacent walls are mirrors. Find the number of images formed.


The answer is 7.

Swapnil Das by Swapnil Das , 20, India

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1 solution

Swapnil Das
Oct 17, 2016

The solution is very intuitive, but seems interesting too!:

Let’s start adding mirrors one after the other. \text{Let's start adding mirrors one after the other.}

  • Add the first mirror. One image of the person is formed.
  • Add the next mirror now. Two more images formed now, one of the person and another of the previous image which acts as a virtual object. Total of 3 3 images now.
  • At last, add the third mirror. It forms four more images, one of the person, and 3 3 of the images which now act as virtual objects.

How many images? 1 + 2 + 4 = 7 1+2+4=7

4 Helpful 0 Interesting 0 Brilliant 0 Confused

it has already been published on brilliant once ...........SWAPNIL BHAI !!!

A Former Brilliant Member - 4 years, 8 months ago

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It's normal. Mostly, when someone republishes the problem, it gets more solvers, adding to the benefit of the same.

Swapnil Das - 4 years, 8 months ago

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