How do you personally picture infinity?

[anagogy]

So is there zero diversity in intelligent infinity?

You are experiencing the diversity of intelligent infinity right now. The mind/body's purpose and function is for the fine examination of the various infinite aspects of the whole. The finite perspective provides a window for the infinite to see itself from a particular and unique perspective. The function of the spirit is to point out the interconnecting relationship between the parts and the cosmic whole. When you look through the eyes of mind, there are an infinity of diverse parts, when you look through the eyes of spirit, there is only unity. So there is both infinite diversity and infinite uniformity depending on where you focus your consciousness.

Infinity isn't missing anything. It is filled to brim with all potential states of being/consciousness.