Horis International Limited, which seems to be specialising in apps with a strong maths background. Some time ago they also released Quick Route, a nice puzzle based on the Travelling Salesman Problem.
The concept isn't new; we have seen it for example in the browser game Euclid: The Game. However, the implementation in Euclidea is perfectly done, making it an absolute joy to play.
The idea of the game is to solve geometric problems by using compass and straightedge constructions. For example here you are asked to construct the perpendicular bisector to a segment.
In Euclidea, you are on your own, and have to figure out what to draw to reach the requested goal. The user interface works beautifully, and as you draw your circles and segments they precisely snap to the reference points nearby.
A brilliant feature, not found in other similar games, is that you can freely move all the arbitrary points in your constructions, to verify that they work in general. For example, here I constructed the bisector of an angle.
For example, one of the problems is to translate a segment. Using the parallel line tool, this is trivial to do:
Some of the problems are even move restrictive, requiring to make constructions that use only the straightedge and not the compass, or the other way around. Those can be challenging. Find the instersection of a circle and a segment without drawing the segment? I haven't solved that one yet.
My main gripe is that the game doesn't store your constructions, so if you go back to a puzzle you played previously you have to start from scratch. I would have liked to be able to see my best effort, instead of having to reconstruct my steps every time.
I also don't like the horizontally scrolling list of puzzles, which is cumbersome to navigate and wastes a lot of space. A grid might have worked better.
But those are really minor things! The best part of all this is that the game is totally free, with an optional in-app purchase to turn off banner ads. It is so rare to see a game like this so well done, that I gladly made that purchase, hoping that the developers will continue to improve this gem.
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