as you can see, there are 15 images for an angle of 24 degrees, whereas according to your formula, there should be 14. Thus, your formula does not apply for all cases.

I used ricktu288.github.io/ray-optics/simulator to simulate.

Oh :-(

I and John Rennie sir are discussing this formula for past few days.

more specifically, your formula applies only when $\frac{360}{\theta}$ is an even number or when the object is placed on the angle bisector.

@AniruddhaDeb Try it with 120°.

There ya go. you get 3 images, not 2.

Hey

Turn on observer mode

I gtg now. If you want to try with more angles, you can do so on the simulator.

Ok

Will you be available later?

hmm interesting catch on observer mode.. I'll check it out later.

But you might have a point here, and yes, I'll be available post 6 pm today...

Thanks

One final thing: observer mode gives 12 images for 30 degree angle, which again does not agree with the 360/theta - 1 formula..

@Mayank Alright, I had some more time to analyze this problem: Observer mode is dependent on the location of the observer. The observer sees a different number of images depending on his position. Try moving the observer around and you'll see that the number changes between 11 and 12 depending on the position.

A more concrete number would be the number of images formed, which is constant and does not depend on the location of observer.

The number of images formed is $\frac{360}{\theta} - 1$, if $\frac{360}{\theta}$ is an even number or if $\frac{360}{\theta}$ is an odd number, and the image is placed on the bisector. For the odd number case, this happens because the last two images coincide with each other, and you subtract 1 from the number of images formed.

If $\frac{360}{\theta}$ is an odd number and the image is not placed on bisector, you get $\frac{360}{\theta}$ images.

Hope that clears it up.

@AniruddhaDeb Thanks. I got it :-)