May 27th: The 44th Step – A Visual Representation of the Chicken McNugget Problem by Linus Jo

A chicken nugget sitting atop a flight of 44 stairs in a colorful futuristic setting

The Chicken Mcnugget Problem is a classic question in number theory that asks: What is the largest number that cannot be formed using fixed quantities?

In the well known example of McDonald’s Chicken McNuggets (sold in packs of 6, 9, and 20), that number is 43. Forty-three is the final unreachable total, the highest value that cannot be expressed. Every number beyond it can be formed.

This art piece captures this threshold.

A staircase of 43 steps rises from a dark city. Each step represents an integer climbing toward the barrier. The steps glow in shifting, incomplete colors, representing the variations and chaos within what appears to be simple counting.

At the summit floats a golden nugget. The staircase stops just short of it. The final visible step is 43.

Yet the piece is not titled The 43rd Step. It is titled The 44th Step.

The 44th step is invisible because it does not need to be built; it is guaranteed. Once the boundary of impossibility is crossed, the uncertainty disappears. After 43, everything is possible.

The 44th Step is not about reaching the nugget.
It is about understanding why, after 43, you always can.

Linus Jo

Linus Jo is a Running Start Student with a passion for mathematics. He is currently seeking an Associates in Engineering and Physics. Linus began to use mathematics as a form of expression when he realized that traditional artistic mediums couldn’t quite capture the structural beauty he saw in his studies. He started using the graphical calculator Desmos as a canvas to combine both his love for equations with his artistic vision, which he uses to transform abstract concepts into visual art.