well yes a 36 sided polygon does exist but it might not be what your looking for really, have you tried googling for it?
The company i work for is launching a new game. I got this assignment from my boss to look after a 36 sided dice or a shape. In the game there are numbers between 1 - 35 and it should be an equal chance between the numbers, so the surface area has to be the same. Since a 35 sided dice probably do not exist he told me that we should look for a 36 sided dice or shape where the 36th side has the company logo and means roll again.
Do a 36 sided dice exist? Is it possible to make a 36 sided shape where there is 35 sides of equal chance? If it exist where do i find the blue print?
He said he can consider two other dices but he don't want any combination six sided dices.
(Not perfect english since i'm a swedish girl)
You could make a D36 on the same trapezohedron model as this picture of a D34, with just slightly smaller angles (funnily enough, I found the image on the Swedish wikipedia, but not the English wikipedia!):
Fil34.jpg - Wikipedia
Trapezohedron - Wikipedia, the free encyclopedia
Not quite sure how easy it would be to make, though.