Comparison

The Hamiltonian Circuit vs Neutralize +

Price, ratings, monetisation and update history for both games, side by side — with what reviewers say about each.

Head to head
About

The Hamiltonian Circuit

This challenging puzzle game requires you to find a continuous circuit that visits every square on a grid without crossing itself or walls. Progress from simple grids to complex, large-scale challenges that test your abstract thinking and problem-solving skills. Hints are available to guide you when you get stuck.

Highlights
  • Visit every square on the grid
  • Avoid walls and self-crossing
  • Progressive grid sizes (4x4 to 20x20)
  • Hint system for assistance
  • Automatic progress saving
  • Single solution per puzzle
Features
Read full description

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: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

About

Neutralize +

A minimalist puzzle game where you swipe tiles to combine opposites, creating neutral spaces to clear the board and increase your score. It offers strategic depth with a focus on chain reactions and a clean, glassmorphic design for an endless challenge.

Highlights
  • Swipe to combine opposite tiles
  • Create neutral spaces
  • Strategic chain reactions
  • Minimalist glassmorphic design
  • Endless scoring challenge
Features
Read full description

Neutralize is a chill but perplexing puzzler. Swipe tiles to combine positive and negative tiles to create neutrals. Can you neutralize the entire board? Features: - A New Mechanic: A unique tile sliding mechanic distilled to its essence. - Deep Strategy, Simple Rules: Plan your moves carefully — like playing chess against yourself. - Play Your Way: Easy to play for 30 seconds or 30 hours. - One-Handed Comfort: Portrait mode and smooth swipe controls mean you can play anywhere, anytime, one-handed. - Beautiful Design: Meticulous attention to detail with beautiful light and dark themes. - Track Your Progress: Comprehensive stats to evaluate and improve your skills. - Master the Board: Earn accomplishments on your journey to Full Neutrality.

Screenshots

The Hamiltonian Circuit4 screens
Neutralize +4 screens

Verdict

The call

The clearest difference is price: The Hamiltonian Circuit at Free against Neutralize +'s $0.99. The Hamiltonian Circuit also leads on ratings volume (33 vs 5). Neutralize +'s advantage is review sentiment (100% vs 59%) and ads (none vs shown). On in-app purchases, device support and iOS requirement there is nothing between them.

Scored on Price · Rating · Positive reviews · Number of ratings · Update frequency · Ads · In-app purchases · Monetization · Best chart rank · Devices · Requires iOS

CostPrice · In-app purchases · Ads · Monetization

The Hamiltonian Circuit is free to download; Neutralize + costs $0.99 up front. The Hamiltonian Circuit sells 4 one-off in-app purchases and Neutralize + sells 1 one-off in-app purchase. Whichever you choose, the download price is not the number that matters.

ReceptionRating · Positive reviews · Number of ratings

Neutralize + holds the better App Store score, 4.2 against 3.8. That said, the two scores are not equally well evidenced: The Hamiltonian Circuit has 33 ratings behind it against 5, so its average is the more settled of the two. Written reviews point the same way: 59% of The Hamiltonian Circuit's written reviews are positive against 100% of Neutralize +'s.

UpkeepUpdate frequency

The Hamiltonian Circuit ships an update every 5 weeks, Neutralize + every 9 days. Both last shipped on November 7, 2026.

Scorecard7 real differences · 3 level
The Hamiltonian Circuit versus Neutralize +: the parameters behind the verdict, then further details
ParameterThe Hamiltonian CircuitNeutralize +
PriceFree — better$0.99
Rating3.8 (33 ratings)4.2 (5 ratings) — better
Positive reviews59.3% of reviews100.0% of reviews — better
Number of ratings33 — better5
Update frequencyEvery 5 weeksEvery 9 days — better
AdsYesNo — better
In-app purchasesYesYes
MonetizationFree with in-app purchases — betterPaid
DevicesiPhone, iPadiPhone, iPad, iPod — better
Requires iOS16.615.0 — better
Further details — not scored
Size64 MB30 MB
Age rating4+4+
DeveloperGood Thinking GamesAir Pie LLC

Customer experience

The Hamiltonian Circuit

All ratings33 ratings
Positive63.6%
Neutral15.2%
Negative21.2%
Written reviews27 reviews
Positive59.3%
Neutral22.2%
Negative18.5%

Neutralize +

All ratings5 ratings
Positive80.0%
Neutral0.0%
Negative20.0%
Written reviews3 reviews
Positive100.0%
Neutral0.0%
Negative0.0%

In-app purchases

4 purchases

The Hamiltonian Circuit

One-time4
  • Pack of 50 neurons$0.99
  • Pack of 250 neurons$3.99
  • Remove Ads$4.99
Show 1 more
  • Pack of 750 neurons$9.99
1 purchases

Neutralize +

One-time1
  • Neutralize Forever$2.99

Questions

Is The Hamiltonian Circuit free?
The Hamiltonian Circuit is free to download, with in-app purchases available.
Is Neutralize + free?
Neutralize + costs $0.99, and also offers in-app purchases.
Which has better reviews, The Hamiltonian Circuit or Neutralize +?
Neutralize + is rated higher. The Hamiltonian Circuit averages 3.8 out of 5 from 33 ratings, while Neutralize + averages 4.2 from 5 ratings.
Do The Hamiltonian Circuit or Neutralize + have ads?
The Hamiltonian Circuit shows ads; Neutralize + does not.
Which is updated more often, The Hamiltonian Circuit or Neutralize +?
The Hamiltonian Circuit ships an update every 5 weeks, and Neutralize + every 9 days. Most recently, The Hamiltonian Circuit was updated on November 7, 2026 and Neutralize + on November 7, 2026.

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