Confused as to the correct syntax

The man page for git-rev-parse talks about the way to specify commits back from a named commit object. The following text in this man page tries to explain it, but it has confused me more

"A suffix ~<n> to a revision parameter means the commit object that is the <n>th generation grand-parent of the named commit object, following only the first parent. I.e. rev~3 is equivalent to rev^ which is equivalent to rev11^1."

Why is rev~3 equivalent to rev^,  surely it is equivalent to rev^^^

Why is rev~3 equivalent to rev11^1, should that not be rev^1^1^1

I don't understand the syntax here - so was looking it up in the man page. Is there an error in the page or have I misunderstood something.