Looking for a challenge that will build your abstract thinking skills? Try The Hamiltonian Circuit, a fun, relaxing puzzle game that's easy to learn and tough to master.

Find a path that visits every square in the grid, avoiding walls and never crossing itself, to create one continuous circuit.

To get the hang of things, start with one of the simple 4x4 grids. Plot your moves carefully. Try to think ahead; not just by one square, but by four or five. If you think you've made a mistake, trace back over your line. It will disappear.

If you really get stuck, press Hints. Any mistakes will turn red, then disappear. But if you're on the right path, we'll add a line.

There's only one solution for every puzzle. When you find it, you'll know.

Puzzles start with 4x4 grids and go all the way to 20x20. The bigger puzzles are very challenging and can take hours to solve. If you have to quit in the middle of one, don't worry: your progress is automatically saved.

Many find working on these circuits meditative; others reach for the ibuprofen. But no matter which camp you find yourself in, know you're exercising your abstract thinking skills and challenging your brain in ways that actually matter.

Inspired by a puzzle created by Irish mathematician William Rowan Hamilton in 1856, these circuits start off easy and get hard. Really hard. Good luck!

Terms of use:

What’s New

Version 148

We rewrote pencil mode - check it out!

App Privacy

The developer, Good Thinking Games, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy.

Data Not Linked to You

The following data may be collected but it is not linked to your identity:

  • Diagnostics

Privacy practices may vary based on, for example, the features you use or your age. Learn More


  • Family Sharing

    Up to six family members will be able to use this app with Family Sharing enabled.

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