I am not a mathematician by any stretch but have this real world problem that I need help with.
So imagine a set of steps that have a tread length of 12" and a riser height of 6". There are 30 steps in total.
Your fifty feet away from the steps and you printed out a large image such as your face. You cut it into strips and apply it to each riser to form a very large portrait from your vantage point. You realize that the edges look pretty jaggy as it moves back 12" on each step. The solution would be to increase the size of each strip by a certain amount to make the edges of your face line up to create the illusion from your 50' vantage point.
I thought it would be a standard percentage from step to step but when I work it out it doesn't work that simply unfortunately. My initial belief was print the first step at say 100%. The second at 106% and the each strip would increase 106% from the previous one all the way up so the edges matched. When I drew it out the image got progressively larger as it went up each step.
Any help would be greatly appreciated.