Why do you feel more like a harvested resource than a human being every time you try to relax for five minutes? It is a question we usually bury under the frantic scrolling of a Tuesday afternoon, but it resurfaces the moment a “free” puzzle app demands your email address, your location, and your permission to send “helpful” nudges at .
We have been conditioned to believe that the friction of modern software is the price of entry for entertainment. We tell ourselves that the trade-off-a bit of our privacy for a bit of a distraction-is a fair deal. But the exhaustion in your thumbs suggests otherwise.
The 6:14 PM Fault
Theo felt this exhaustion acutely on the train, a commute currently delayed by due to a signaling fault. He had downloaded a slick new strategy game to pass the time, lured by the promise of “minimalist” design and “procedurally generated” challenges.
But when he tapped the icon, the screen didn’t open to a game. It opened to a modal window: Sign in with Apple to continue. He tapped the ‘X’ in the corner. Another window: Enable notifications to receive daily rewards. He closed the app, the blue light of the screen feeling suddenly heavy, and reached into his pocket.
He found a crumpled receipt from a morning coffee and a Bic pen he’d borrowed from a colleague and never returned. Six dots. He drew them in a wide hexagon in the margin of the receipt. No accounts. No tracking. No daily login bonuses. Just the pure, cold logic of a game invented in by a mathematician named Gustavus Simmons.
Pure Logic in a Hexagonal Ring
Six circular points, arranged in a geometric ring on the thermal paper, awaited the first stroke of ink. Theo drew a single line connecting the top point to the bottom right. He was playing against a ghost, or perhaps just playing against the silence, but the game worked. It has always worked.
This is Sim, a game born in the era of slide rules and mainframe computers that occupied entire rooms, yet it requires nothing more than a scrap of paper and two different colored pens-or, if you’re Theo, two different styles of line.
Sim: Six vertices, fifteen possible connections, and the inevitable monochromatic triangle.
For every you spend navigating a modern mobile interface, the average ad-tech stack executes 24 internal auctions for your visual profile. In plain terms, your attention is sold two dozen times before you have even decided which part of the screen to touch.
The “attention tax” represents a hidden surcharge on our leisure time that didn’t exist in 1969.
This is the “attention tax,” a hidden surcharge on our leisure time that didn’t exist when Simmons first presented his game to the world. Sim wasn’t designed to keep you “engaged” for quarterly earnings reports; it was designed as an elegant application of Ramsey Theory.
Deceptive Simplicity
Simplicity is a deceptive craft. I learned this the hard way last month when I attempted a DIY “floating shelf” project I saw on Pinterest. It looked like three pieces of wood and a few screws.
Eight hours later, I was surrounded by splinters, two different types of wood glue that wouldn’t set, and a mounting bracket that seemed to defy the laws of physics. The “simple” shelf required a level of hidden infrastructure I wasn’t prepared for. Modern apps are like that shelf-they look clean on the surface, but underneath, they are supported by miles of tracking code, notification triggers, and retention loops.
The game of sim, by contrast, is truly simple. The rules fit on a business card: Two players take turns connecting the dots. The first player to complete a triangle in their own color loses. That’s it.
The Rule of R(3,3)=6
Mathematically, it is impossible for the 15 possible lines between six dots to be colored in two ways without a monochromatic triangle forming. This is the R(3,3)=6 result of Ramsey Theory, proving that order is inevitable even in apparent chaos.
There are no draws. In a branch of mathematics that proves order is inevitable even in apparent chaos, Sim stands as a sentinel of certainty.
The Absence of Additives
Zoe J.-P., who spends her days as a quality control taster for high-end chocolate, once told me that the most expensive part of a truffle isn’t the cocoa-it’s the absence of additives.
“The cheaper the bar, the more ingredients they have to add to hide the fact that the foundation is hollow.”
– Zoe J.-P., Chocolate QC Specialist
Modern gaming apps are the high-fructose corn syrup of the digital world. They are packed with “ingredients”-level-up animations, loot boxes, social integrations-to hide the fact that the underlying game logic is often thin and unrewarding. Sim is the dark chocolate of games. It is 100% logic, no filler.
A Dance on the Edge
Because the game is “Misere” play (where the person who makes the shape loses), every move is a dance on the edge of a precipice. You aren’t just connecting dots; you are trying to force your opponent into a corner where every remaining line completes a triangle.
When you play a version of this game that hasn’t been corrupted by the need for monetization, you notice something strange: your heart rate actually goes down. There is no ticking clock, no “energy bar” that refills in unless you pay $1.99. The game asks nothing of you, which in turn gives you the space to actually think.
Triad: The Pencil of the Browser
This is the philosophy behind Triad. It is a project born from a specific kind of frustration-the realization that some of the greatest intellectual achievements in recreational mathematics have no dignified home on the modern web. You can find “clones” of Sim, but they are usually buried under banner ads for insurance or “Sign up for our newsletter” pop-ups.
Triad was built to be the “pencil and paper” of the browser. It is an implementation of Sim that plays instantly. No download, no account, no friction. It offers a mathematically perfect AI solver, not to beat you into submission, but to provide a standard of play that honors the game’s complexity.
No accounts. No friction. Pure Sim.
What We Leave Out
We often assume that because a piece of technology is newer, it is better engineered. We equate complexity with progress. But engineering isn’t just about what you can add; it’s about what you can afford to leave out.
The version of Sim is better engineered for human enjoyment than 90% of the App Store because it respects the player’s autonomy. It provides a closed system where the only variables are your wit and your opponent’s.
There is a specific kind of beauty in a game where a draw is impossible. In a world of “it depends” and “maybe” and “check back later,” the mathematical certainty of Sim is a relief. Before the 15th line is drawn, someone will have lost. The Ramsey number R(3,3) guarantees it.
It is a fundamental law of the universe, as rigid as gravity and as predictable as the tide. When you play, you aren’t just passing time; you are participating in a proof.
The Receipt in the Pocket
Theo, sitting on that stalled train, finally finished his game on the back of the receipt. He had played both sides, blue ink against the ghost of a red pen. He had accidentally created a triangle of blue lines between dots one, three, and five. He lost to himself.
But as he folded the receipt and put it back in his pocket, he realized he felt more refreshed than he had in weeks of “gaming” on his phone. He had used his brain for without being asked to buy anything.
The six dots remain stationary on the receipt while the world outside the train window continues its frantic, expensive blur.
We need more things that don’t try to own us. We need more tools that serve our curiosity rather than our “user profile.” Whether it’s a scrap of paper on a delayed train or a clean, browser-based board that respects your time, the value of Sim lies in its refusal to be more than it is. It is a game. It is a challenge. It is a quiet moment in a loud world.
The next time you find yourself hovering over a “Download” button, wondering if you really want to invite another notification-hungry algorithm into your pocket, remember the six dots. Remember that the most durable things in life are often the ones that ask for the least.
You don’t need a cloud-syncing, social-sharing, AI-enhanced puzzle platform to exercise your mind. You just need a place to draw a line.