• Jyotirmoy Sarkar

Articles written in Resonance – Journal of Science Education

• Sudoku Squares as Experimental Designs

• Weighing Designs to Detect a Single Counterfeit Coin

• Fillable Fractions

In this article, I present a series of puzzles aiming to reinforcethe following mathematical concepts: fraction, factoring, representationof numbers in different bases, mathematical induction,proving impossibility, limit points, and approximations.

• Burning Ropes to Measure Time

Each rope burns from one end to the other in exactly onehour, but at an uneven rate. Which fractions of an hourare measureable by burning several ropes from one or bothends?

• Magic Vertex-Labeling of a Half-Cube: An Enumeration Puzzle

A cube is sliced in half by a plane cut orthogonal to a diagonal. We want to label the ten vertices of the half-cube with digits 0 through 9 so that the sum of the labels around each triangle is a constant, and the sum of the labels around each pentagon is another constant. We count all such labels.

• Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area

Suppose that we are allowed to drill a cylindrical hole of any radius through the center of a unit ball or a unit cube in a given direction. Which radius will maximize the total exposed surface area (ESA) of the ﬁnished object? If we are allowed to drill two or three mutually orthogonal cylindrical holes of the same radius, which common radius will maximize the total ESA?

• # Posted on 13 July 2021
• # Workshop in Algebra, 7–9 September 2021

Posted on 9 August 2021