A Tangled Tale · Chapter
Knot IX: A Serpent with Corners explained
Hugh and Lambert are on the beach at Little Mendip, where Hugh experiments with buckets to test the principle of displacement.
What happens
Hugh and Lambert are on the beach at Little Mendip, where Hugh experiments with buckets to test the principle of displacement. He is puzzled when the displaced water seems less than the bucket's bulk. At dinner, Hugh presents his difficulty to Balbus, who sets them a geometry problem about a flower-garden with a serpentine gravel-walk. Balbus then retreats to his room to ponder Hugh's mechanical paradox, writing a satirical essay on immersion and displacement before falling asleep.
Themes in this chapter
Education and Learning
The chapter centers on a practical science puzzle and a geometry problem, illustrating the process of inquiry and problem-solving.
Humor and Absurdity
Balbus's essay humorously extends the displacement principle to absurd conclusions, such as a man being inevitably drowned by partial immersion.
Logic and Paradox
Hugh's bucket experiment and Balbus's essay both explore the logical paradoxes of displacement and infinite regress.
Characters to notice
Key passages
“Water, water, every where, Nor any drop to drink.”
Despite being surrounded by water, there is none available to drink.
Opening epigraph from Coleridge's 'The Rime of the Ancient Mariner', setting a tone of ironic abundance and scarcity.
“It'll just take one more pebble.”
Just one additional pebble will cause the bucket to sink.
Hugh's experiment with bucket displacement, illustrating the concept of buoyancy.
“If a body is immersed in liquid, it displaces as much liquid as is equal to its own bulk?”
An object submerged in liquid pushes aside a volume of liquid equal to its own volume.
Hugh recalls Balbus's lesson on Archimedes' principle, which he then tests with buckets.
“Like a serpent with corners?”
A path that winds back and forth in a rectangular pattern, resembling a snake with right-angle turns.
Lambert's description of the gravel-walk that runs around the garden in concentric laps.
“Shade of Newton!”
By the ghost of Isaac Newton!
Balbus's exclamation of surprise as he contemplates the infinite regress in the displacement problem.