I am currently putting all my photos on the Ordnance Survey grid map for the national archives. It is made up of 100km squares. Each photo makes a red dot on the map, and so far my entire set has been able to fit inside a square of 200km when rotated (I cut out the map and turned it round on another identical one).

I have just added another place and the fit is so close it's impossible to tell whether they still just fit the large four square or just spread outside it however the shape is rotated. Other than using a program which does the job for me with exact placements I need a mathematical formula for a scatter diagram which can be rotated to fit within a certain size square based on its coordinates. Also I am so bad at maths I'd probably need help solving it if I do know it.

I think this is the formula here

rotations graphics and formulas

if anyone can figure it out for a pentagon I can then provide my coordinates for my specific map layout.

I want you to take a look at an image and see if this looks good:

https://ibb.co/czUwEv

If so, I can try to derive a formula for the rotation.

That's the idea, the formula is when you get any regular or irregular shape which is close to fitting in a square or number of squares you can figure it out with maths rather than simply cutting it out in paper and moving it around. So if a pentagon was virtually within a square but just an edge over another one could it ever be rotated to fit the one square or always poke a bit out of it? I thought it was something we learned at school but I wasn't any good at maths so would never have got it on my own.