Check how well you know the geometry by solving construction problems on a triangular grid.
> 277 tasks: from very simple to really hard
> 24 subjects to explore
> 66 geometric terms in a glossary
> Easy to use
> Table of records in the Game Center
*** About ***
Pythagorea 60° is a collection of more than 270 geometric problems of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are equilateral triangles. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry.
*** Just play ***
There are no sophisticated instruments and moves are not counted. You can construct straight lines and segments only and set points in line intersections. It looks very easy but it is enough to provide an infinite number of interesting problems and unexpected challenges.
*** Is this game for you? ***
Euclidea users can take a different view of constructions, discover new methods and tricks, and check their geometric intuition.
Pythagorea users who played on a square grid will not be bored. The triangular grid is full of surprises.
If you have just started your acquaintance with geometry, the game will help you understand important ideas and properties of the Euclidean geometry.
If you passed the course of geometry some time ago, the game will be useful to renew and check your knowledge because it covers most of ideas and notions of the elementary geometry.
If you are not on good terms with geometry, Pythagorea 60° will help you to discover another side of the subject. We get a lot of user responses that Pythagorea and Euclidea made it possible to see the beauty and naturalness of geometric constructions and even fall in love with geometry.
And do not miss your chance to familiarize children with mathematics. Pythagorea is an excellent way to make friends with geometry and benefit from spending time together.
*** All definitions at your fingertips ***
If you forgot a definition, you can instantly find it in the app’s glossary. To find the definition of any term that is used in conditions of a problem, just tap on the Info (“i”) button.
*** Main topics ***
> Length, distance, and area
> Parallels and perpendiculars
> Angles and triangles
> Angle and perpendicular bisectors, medians, and altitudes
> Pythagoras Theorem
> Circles and tangents
> Parallelograms, trapezoids, and rhombuses
> Symmetry, reflection, and rotation
*** Why Pythagorea ***
Pythagoras of Samos was a Greek philosopher and mathematician. He lived in 6th century BC. One of the most famous geometric facts bears his name: the Pythagorean Theorem states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides. While playing Pythagorea you often meet right angles and rely on the Pythagorean Theorem to compare lengths of segments and distances between points. That is why the game is named after Pythagoras.
*** Questions? Comments? ***
Send in your inquiries and stay up-to-date on the latest Pythagorea 60° news at http://www.euclidea.xyz/
• Added new topic to explore: "Rhombuses".
• Corrected description in level 14.8.
• Fixed bugs.