Something similar came up in Neil deGrasse Tyson's StarTalk yesterday. [0]
Neil deGrasse Tyson used the number 8 as an analogy to explain that mathematical similarities between two systems do not mean they share a physical connection -- they were discussing how both the universe and human brain can be described using fractal mathematics. He pointed out that you can count 8 planets in the solar system and 8 children in a room, but having the same count doesn't mean the children are planets.
The similarities say more about mathematics than it does about the universe and the human brain or planets and children.