FAQ

GENERAL

There are no built-in solutions in Euclidea. The app just verifies that the target object is present on the screen.

Most probably your solution is not accepted because it is just an approximation. To check this you can:

  • Read carefully the statement of the problem. To revise it tap a preview card in the top left corner of the game screen. You can also revise definitions in our glossary by tapping "?" under the statement.

  • Make sure that the required object is really constructed. For example, you could forget to set a point in one of the ends of a line segment.

  • Select the Hand tool and try to drag different points. A correct construction should satisfy the statement of the problem for any configuration of points and figures.

  • Check the red points. They are not fixed and can be moved. In general, you do not need to avoid them since some optimal solutions are impossible without red points. But, for example, a midpoint or a tangent point can never be red.

  • Switch to the Explore mode (the orange button) and take a look how the answer depends on point configuration. Compare this with your solution.

  • Try to prove that your construction satisfies the statement of the problem. It is not enough if it just visually coincides with the correct answer.

  • If nothing helps, please write us at support@euclidea.xyz.

Each solution is scored in two types of moves: L (straight or curved lines) and E (elementary Euclidean constructions). Points are not taken into account.

L counts tool actions: constructing a line, a perpendicular, and so on. E counts moves as if a construction was made with real compass and straightedge. Each advanced tool has its own E cost.

The goal is to solve a problem using the minimum number of moves. L and E goals can be satisfied independently. A lot of problems have universal solution that satisfies both goals. But some problems should be solved twice: one solution to reach L goal and another solution to reach E goal.

If there are several objects satisfying the statement of a problem, you can get a hidden V-star by constructing all the answers (solutions) at the same drawing as it was explained after the Equilateral Triangle level.

You need to guess on what levels it is possible. To find V-stars is one more challenge in Euclidea. Read the statements carefully.

Usually this implies some kind of symmetry. For example, if a diagonal is mentioned in a statement, consider using different diagonals. If an angle is directed up, try to construct an angle that is directed down. And so on.

Exploring the number of possible answers is a standard practice in maths. It is a part of the solution.

Note that some problems have 3 or even 4 answers. If your second answer is accepted but V-star does not appear, just continue searching for more solutions.

Euclid originally used a "collapsible" compass that did not keep the measured distance. So we follow the tradition and it corresponds to our Circle tool. The Compass tool becomes available in the Zeta pack.

Tap the Menu button in the top right corner of the game screen, then on a right arrow.

The app language is chosen automatically according to your system preferences.

iOS: Choose system Settings -> General -> Language & Region. The list of preferred language order is displayed there. You can add needed language and place it above all others. If the order is wrong, tap Edit in the top right corner and correct it.

Android: Choose system Settings -> Language & input -> Language. The list of preferred language order is displayed there. You can add needed language and place it above all others.

Now it is not possible. User accounts are implemented only in browser version. We are working on their support and saving progress in mobile applications. Synchronization will appear later in future versions.

Euclidea is a game. It is a challenge. Its goal is to force users to think and explore geometry.

We suppose that it is much more pleasure to find a solution of the problem by yourself than to get the answer from someone else. So we do not provide complete solutions but can only give hints.

If you want to proceed after the first 2 packs without IAP, please make sure that you have 80 stars totally. There are hidden V-stars in the game. (See How to find hidden V-stars?)

Note: After you have purchased the unlock key, stars are not taken into account anymore. The next problem is opened as you solve the previous one. You can also skip any level by tapping the Next button in the menu.

There are several methods to play Euclidea for free.

On a mobile device (iOS/Android):

  • Solve each problem at the maximum score. You will need to earn all L, E, and V stars. It is hard but not impossible.
  • Ask for a promo code. If you love geometry but cannot buy the IAP, write us at support@euclidea.xyz.

On a desktop:

  • Play web version of the game. It has no restrictions on number of stars.

Android: You can use the standard Back button. To bring the navigation buttons back just swipe up from the bottom. This is a commonly used way as it is written in Android Quick Start Guide.

iOS

To switch the app language:

  1. Open the Euclidea app.

  2. On the start screen tap the cogwheel button.

  3. In the Settings dialog tap the second menu item.

  4. Select needed language in the list and tap the bottom button to apply it.

TYPICAL MISTAKES

A common error for level "Equilateral Triangle" is that the construction contains red points that are not fixed and can be moved. You can check it by using the Move (Hand) tool. To pass this level try to tap points instead of dragging. Or drag your finger directly to a point until it snaps.

Correct

TEquilateral1.

Incorrect

TEquilateral2.

When using Perpendicular Bisector Tool the dashed line connecting two points is not a line but just a decoration. It cannot be used for constructions.

Incorrect construction

The red point is not fixed and can be moved.

Midpoint3.

A common error for level 1.5 "Rhombus in Rectangle" is assuming that the angle of the rhombus is 60 degrees.

You can switch to the Explore mode (the orange button), reproduce your steps, and drag the top left corner of the rectangle using the Hand tool. A correct construction satisfies the statement of the problem for any configuration. Note, that a rhombus is a quadrilateral with four equal sides.

To solve the problem you can recall that a diagonal of a rhombus is the perpendicular bisector of its other diagonal.

Incorrect construction

RhombusInRect.

In level 1.7 "Inscribed Square" the given point (it is black) should be one of the vertices of the square.

Incorrect construction

InscribedSquare.png

Often users construct at this level approximations.

To check your variant switch to the Explore mode (the orange button), reproduce your steps, and drag the top left corner of the rectangle using the Hand tool. A correct construction should satisfy the statement of the problem for any configuration of the given points and figures.

You can find a key to the solution if you drag the given point in the Explore mode. The orange line (the answer) adhere to some regularities.

Incorrect construction

CutRect.

TIPS & TRICKS

L and E goals are independent. To get all stars at level 1.6 "Circle Center" you should solve it twice using different approaches: one solution with 2L and one more solution with 5E.

To find 5E solution in 1.6, try to construct perpendicular bisectors with circles and lines (without special tools). Then, you will see that it is possible to get rid of one circle.

The sequence of tools for this solution: OOO// (3 circles, then 2 straight lines).

You can complete the level 1.7 "Inscribed Square" with the sequence of tools: OO///// (2 circles, then 5 straight lines).

  • The first move a circle is the only possible.

  • The second move should give you the bottom vertex.

  • Last 4 moves are the sides of the square.

So you need to guess what the third move is. This move should give you some point on the side or its continuation. The easiest way to find it is to use the Explore mode (the orange button).

To solve problem 2.6 "Drop a Perpendicular" with 3E, you can use the idea of symmetry. Construct the mirror image of the given point across the line (two circles) and then connect them.

To complete level 2.7 Erect a Perpendicular with 1L 4E you should use only one tool. Try to figure out which one. Note that right angle is a half of a straight angle.

To solve problem 2.7 "Erect a Perpendicular" with 3E, you can use the Thales' theorem.

The sequence of tools for this solution: O// (a circle and 2 straight lines).

To solve level 2.8 "Tangent to Circle at Point" with 3E use the sequence of tools OO/ (2 circles and a straight line). Please note that you do not need the center of the circle.

Level 4.1 "Double Segment" should be solved using only circles. That is the heart of the problem. It can be done in 3 moves. The first 2 circles are the only possible, so you need to find the third circle that will pass through the required point.

The sequence of tools is OO/// (2 circles, then 3 lines). The solution uses a homothety (similarity) with coefficient 2. It works for the initial trapezoid but requires a careful choice of the center of the first circle.

The trisection of an angle is not possible in general case, so you need to use that 54/3 = 18. You can also note that 90-54 = 36 = 2*18 and so on.

SUGGESTIONS

Euclidea supports:

  • English
  • French
  • German
  • Italian
  • Spanish
  • Portuguese (Brazil)
  • Greek
  • Japanese
  • Korean
  • Chinese (Simplified)
  • Russian

If you want to help with translation to your native language, please write us at support@euclidea.xyz.

This feature is in our plans for a distant future.

We considered a free workspace some time ago. It is possible but it does not look appropriate in Euclidea Game. For example, there is lack of tools and no possibility to color objects. So we would prefer to create a separate app based on Euclidea engine where you can draw any constructions, save them, share, etc.

There are no exact plans on the eraser tool in Euclidea.