I still count 5. As the nose actually still has two that form a connected passage back through the mouth.
"I still count 5. As the nose actually still has two that form a connected passage back through the mouth."
Good point.
'I still count 5. As the nose actually still has two that form a connected passage back through the mouth.'
To: 'ThePythonicCow',
Thanks for your post#50, with the nice diagram and discussion which rules out the holes through the ears. Together with 'dalight's correction, that leaves us with 3 holes.
Now for naming the object to which we mammals are homeomorphic:
1 hole - torus, or donut, or bagel
2 hole - figure 8
3 hole - pretzel?
any other plausible candidates for the 3 hole case?