Henry Ernest Dudeney/Puzzles and Curious Problems/324 - The Two Snakes

Puzzles and Curious Problems by Henry Ernest Dudeney: $324$

The Two Snakes

Suppose two snakes started swallowing one another simultaneously,

each getting the tail of the other in its mouth,

so that the circle formed by the snakes becomes smaller and smaller.

What will eventually happen?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Unclassified Problems: $324$. -- The Two Snakes
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Unclassified Puzzles: $525$. The Two Snakes