Balbus

Hugh

Balbus and Hugh are close friends and frequent collaborators in solving puzzles and logical challenges.

Lambert

Balbus and Lambert are friendly colleagues who engage in intellectual banter and problem-solving.

Hugh

Balbus and Hugh are close friends and frequent collaborators in solving puzzles and logical challenges.

Lambert

Balbus and Lambert are friendly colleagues who engage in intellectual banter and problem-solving.

Hugh

Balbus and Hugh are close friends and frequent collaborators in solving puzzles and logical challenges.

A Tangled Tale

Leads the search for lodgings and engages in problem-solving.

Knot I: Excelsior

The elder knight, toiling in chain armor, grave and humorless, who poses the arithmetic challenge.

Knot II: Eligible Apartments

The tutor who accompanies his pupils and inspects lodgings with a focus on geometry and practical details.

Knot IV: The Dead Reckoning

The elder tourist, father of the younger traveler, who engages the Captain in conversation and tries to resolve the compensation issue.

Knot VI: Her Radiancy

The elder traveller who is anxious and pessimistic about their situation.

Knot VIII: De Omnibus Rebus

The elder traveller who breathes a sigh of relief at leaving the court, later becomes excited about the omnibus overtaking problem.

Knot IX: A Serpent with Corners

Tutor who sets the garden geometry problem and later writes an essay on the displacement paradox.

Knot X: Chelsea Buns

The old tutor, present at the family gathering and involved in the puzzle about the sons' ages.

Answers to Knot II

Balbus is mentioned as the source of the statement that there are 20 doors on each side of the Square.

§2: The Lodgings

Poses the lodgings problem and reviews submitted solutions.

Answers to Knot VI

Listed among the five winners for Problem 2, though noted for defective reasoning.

Answers to Knot VII

Mentioned for his general principle about ascertaining the cost of a luncheon.

Answers to Correspondents

Correspondent who argued that only varieties (a) and (c) of the problem are possible.

Answers to Knot VIII

Balbus comments on the Pigs Problem, stating it cannot be solved mathematically or by verbal quibble.

§1: The Pigs

Comments that the pig problem cannot be solved mathematically nor by verbal quibble.

§2: The Grurmstipths

Listed as one of the correct solvers in the class list.

Answers to Knot IX

Balbus is the author of the Essay Problem about a solid immersed in water causing an infinite series of rises.

§2: Balbus’ Essay

Author of the essay posing the water-immersion problem.