I had no experience at the time with problems in higher dimensions, and I didn't trust my geometrical intuition. For example, my intuition told me that the procedure would require too many steps wandering from one adjacent vertex to the next. In practice, it takes few steps. In brief, one's intuition in higher dimensional space is not worth a damn!

In: D. Albers, G. Alexanderson and C. Reid, More Mathematical People: Contemporary Conversations (p. 77)