Henry Ernest Dudeney/Modern Puzzles/148 - Cutting the Cheese/Solution

Modern Puzzles by Henry Ernest Dudeney: $148$

Cutting the Cheese

I have a piece of cheese in the shape of a cube.

How am I to cut it in two pieces with one straight cut of the knife

so that the two new surfaces produced by the cut shall each be a perfect hexagon?

Solution

Mark the midpoints of $BC$, $CH$, $HE$, $EF$, $FG$, and $GB$.

Then insert the knife at the top and follow the direction indicated by the dotted line.

Then the two surfaces will each be a perfect hexagon.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $148$. -- Cutting the Cheese
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $318$. Cutting the Cheese