5 gallon foldable bucket

Looking to make a 5 Gallon bucket that can fold up. Not sure what the material can be if it can be plastic or it has to be silicone. I want it to have the same dimensions of a standard 5 gallon bucket but be able to fold up. So in other words I want the bottom of the bucket not to be very small compared to the top of the bucket. The top of the bucket i want to have the same dimensions as of standard 5gallon bucket (painter bucket).

The buckets will not have a handle.