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The Four Colour Theorem is a casual coloring puzzle game that uses the idea that you can use four different colors to fill in any number of adjacent geometrically regular or irregular shapes within a single plane without having any colors that touch each other. This is the idea that is used for minimum number of colors for maps as well.

At first I thought this would be a piece of cake, because it takes absolutely no time to color in the randomly divided screen in order to accomplish this. What I did not realize is that there are four different value assignments as well, one to each of the colors. In order to solve these puzzles, you need to find the correct color combination that will yield the correct total sum when the space is filled.

While the first few levels were really straight forward, the later levels became much more difficult and involved a heavy amount of thinking, trying to mentally find the appropriate set of numbers to fit the total sum while still being able to color in the screen with all of it. The game does not allow you to color in any two spaces adjacent to each other with the same color. If you color in a new area with one, and it touches another area with the same color, the originally filled area will revert to white.

There are 50 levels, played in windowed mode only, without music. You are playing in windowed mode, you can always just put on your own music in the background without any difficulty.

The game is simple, but the puzzles actually are a bit harder than I anticipated. I am almost at the halfway mark. But I certainly played enough to know that this is yet another interesting take on a simple idea, combine with simple addition, but the combination can generate puzzles of such caliber.

This is a good puzzler, and of course you must like puzzles and are okay with doing a little bit of mental addition if you want to enjoy this game. It's a cheap game, the 0.99 USD asking price is certainly well within reason. I like the simplicity of the game and the complexity of the puzzles generated. I would recommend this game.

I received the product for free. I did not receive any compensation to write this review. The opinions represented here are entirely my own and were not influenced in any way.

Simple, yet fun. No tutorial, so going into this blindly (as I did) is a little confusing at first. Luckily, the game's name/description tells you all you need to know to progress through the levels (you have four colours with which to fill out all the shapes on screen, and adjacent fields must always be differently coloured).
Each colour has a value attributed to it, which determines the value of each field. The values of all coloured fields are added up and every level has an ideal sum to be met, which provides an additional challenge.

All in all, not a bad puzzle game. Certainly not the worst thing I've bought on a whim.

Tested on Linux, no issues found. Note that—as of writing this—there are no in-game settings and the game is windowed-only (not that it desperately needs a fullscreen mode).

This game is really nice to just sit back and use your brain a little. The dev gifted me a free key to try it out. This was made in pygame and considering this fact we're speaking of a cool project. Keep it up, dev friend!

First of all pretty easy game
to win star you have to use the most valuable color as much as you can

Pros:
*Interesting concept
*very light on resources

Cons:
*click "select level" and when you return to your game all your progress is lost
*no sound for me
*no menu
*no fullscreen

This game was enjoyable! I really enjoy graph theory, so seeing a game made with some related concepts was cool. I made my own python code to help me out with the later levels.

Cheap, simple puzzle game. Hard to ask for more. Giving the different colors different point values and providing the maximum score for each puzzle is a masterstroke, as it provides an extra challenge while also giving a small hint as to where the remaining points should come from. I've completed half of the levels at the time of writing this review, which does highlight how small this game is, but for a dollar it's hard to complain about the amount of content.

It's the four-color theorem.

This game encompasses 50 puzzles all based on the Four Color Map Theorem from mathematics (planar maps to be more specific). It is a good challenge for those who enjoy real game applications of fun math concepts, but the poor user interfacing makes this a harder sell. You cannot save while in the middle of one of the levels (as far as I tried) and the menu to select a level is slow to scroll through. I do not have a problem with the simple visuals of the interface, but the control over it is lackluster and the game could use some quality of life improvements, but the core puzzle solving is worth the asking price, or wait for a sale.

The biggest problem with this game is the lag that occurs every time you start a puzzle. Every time a puzzle starts, for a second or so, my computer starts whirring loudly, as if it is doing a lot of work (I am on Linux, in case that makes any difference). This is unacceptable for such a simple game. I also dislike the mandatory cutscene that plays at the start of each puzzle. I just want to jump straight into the action.

I personally also find the control scheme not entirely seamless. In order to choose a color, I have to scroll from my current color through the list of available options until I reach the desired color. The distance you have to scroll changes depending on what the start color is and what the end color is, and it's a little slow. I would prefer it if the colors were mapped to the keys 1, 2, 3, 4. Then, in order to choose a color, all I have to do is make 1 button press. As it is, I have to make multiple presses, and I have to look over at the color list in order to work out what color I have selected at the moment. However, the control scheme is OK, and it's possible to get used to it. I would give it maybe a 3/5.

Otherwise, the gameplay is mostly as you would expect. Which is pretty meh, but I can't blame the game for giving me exactly what it says on the tin.

Really good puzzle game - unusual, relevant and clever. However I don't like to play in a window. I am wondering if there is a way to play in fullscreen mode. Curve of the difficulty is good, but at start, I didn't understand anything about gameplay. I would like to see some tutorial so as to understand keys. It could be better with a background music - something ethereal. At this stage, it seems to me that this game is not finished. It could be polished. Overall, focusing on the main gameplay, it's a good stuff which worth its price. Thank you ++