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Learn Geometry with Pythagorea 60°: Over 270 Levels to Master

  • dyamisliepienis
  • Aug 6, 2023
  • 11 min read


Pythagorea 60: A Fun and Educational Game for Geometry Lovers




If you are looking for a game that can help you improve your geometry skills, challenge your logic and creativity, and entertain you at the same time, you might want to try Pythagorea 60. This game is a collection of more than 270 geometric problems that can be solved on a triangular grid without complex constructions or calculations. It is based on the principles of Euclidean geometry, the branch of mathematics that studies shapes, angles, distances, and proportions. In this article, we will tell you more about what Pythagorea 60 is, how to play it, why to play it, and where to download it.




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What is Pythagorea 60?




Pythagorea 60 is a game that was developed by HORIS INTERNATIONAL LIMITED, a company that also created Euclidea, another popular game for geometry lovers. Pythagorea 60 is inspired by the ancient Greek mathematician Pythagoras, who is best known for his theorem about right triangles. The game is named after him because it often involves right angles and the Pythagorean theorem to compare lengths of segments and distances between points.


A collection of geometric problems on a triangular grid




The game consists of more than 270 geometric problems of different kinds, such as finding the center of a circle, constructing an equilateral triangle, dividing an angle into three equal parts, or proving that two triangles are congruent. All these problems can be solved by using only straight lines and segments, and by setting points in line intersections. There are no sophisticated instruments or moves that are counted. The only thing that matters is the final result.


All the objects in the game are drawn on a grid whose cells are equilateral triangles. This means that all the angles in the grid are 60 degrees, hence the name of the game. The triangular grid adds a new dimension to the geometric problems, as it requires you to think differently from the usual square grid. You will have to use your spatial reasoning and imagination to find patterns, symmetries, and regularities in the shapes.


A way to learn and practice Euclidean geometry




Pythagorea 60 is not only a game, but also a learning tool. It covers most of the ideas and notions of elementary geometry, such as circles, angles, triangles, polygons, congruence, similarity, parallelism, perpendicularity, bisectors, medians, altitudes, circumcenters, incenters, orthocenters, centroids, etc. By playing Pythagorea 60, you will be able to understand important concepts and properties of Euclidean geometry, such as how to construct shapes using basic tools, how to use logic and deductive reasoning to prove statements, how to apply algebraic methods to solve geometric problems, etc.


If you have just started your acquaintance with geometry, Pythagorea 60 will help you grasp the fundamentals and build a solid foundation. If you passed the course of geometry some time ago, Pythagorea 60 will help you refresh and check your knowledge and skills. If you are not on good terms with geometry, Pythagorea 60 will help you discover another side of the subject that is more fun and intuitive.


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A challenge for your geometric intuition and creativity




Pythagorea 60 is not only a learning tool, but also a game. It offers a variety of problems that range from easy to hard, from simple to complex, from obvious to tricky. Some problems can be solved in a few seconds, while others may take you hours or even days to figure out. Some problems have one solution, while others have multiple or infinite solutions. Some problems are based on classic theorems or constructions, while others are original and inventive.


By playing Pythagorea 60, you will be able to test and improve your geometric intuition and creativity. You will have to find the best way to solve each problem, using the minimum number of moves and the maximum efficiency. You will have to look for hidden clues, alternative approaches, and unexpected connections. You will have to experiment, explore, and invent new methods and strategies. You will have to challenge yourself and have fun at the same time.


How to play Pythagorea 60?




Pythagorea 60 is easy to play, but hard to master. It has a simple and intuitive interface that allows you to draw lines and segments, move points, erase mistakes, and check solutions. It also has a clear and concise instruction that explains the goal and the conditions of each problem. Here are some basic tips on how to play Pythagorea 60.


The rules and the tools




The rules of Pythagorea 60 are simple: you have to solve each problem by using only straight lines and segments, and by setting points in line intersections. You cannot use curves, circles, arcs, angles, or measurements. You cannot move or delete existing objects. You cannot use any external tools or aids.


The tools of Pythagorea 60 are also simple: you have a triangular grid that serves as your paper, a point tool that allows you to set points on the grid or on existing lines, a line tool that allows you to draw lines through two points or extend existing segments, an erase tool that allows you to erase your own lines or points, a check tool that allows you to check if your solution is correct or not, and a reset tool that allows you to start over if you are stuck or unhappy with your solution.


The levels and the topics




The levels of Pythagorea 60 are organized into 15 topics that cover different aspects of Euclidean geometry. Each topic has a name and a symbol that represents its main idea or concept. For example, the first topic is called "Right Angle" and has a symbol of a right angle with two perpendicular lines. The second topic is called "Equilateral Triangle" and has a symbol of an equilateral triangle with three equal sides.


Each topic has 18 levels that increase in difficulty and complexity. The first level of each topic is usually an introduction or a tutorial that shows you how to solve a basic problem related to the topic. The last level of each topic is usually a challenge or a puzzle that requires you to apply all the skills and knowledge that you have learned in the previous levels.


The hints and the glossary




If you are having trouble with solving a problem, you can use the hint button that is located at the bottom right corner of the screen. The hint button will give you a clue or a suggestion on how to proceed with the problem. However, using the hint button will reduce your score for that level, so use it wisely and sparingly.


If you are not familiar with some terms or concepts that are used in the game, you can use the glossary button that is located at the top right corner of the screen. The glossary button will open a list of definitions and explanations for all the geometric terms and concepts that are used in the game. You can also access the glossary from the main menu by tapping on the question mark icon.


Why play Pythagorea 60?




Pythagorea 60 is more than just a game. It is also an educational and recreational activity that can benefit you in many ways. Here are some reasons why you should play Pythagorea 60.


To discover the beauty and naturalness of geometric constructions




Geometry is one of the oldest and most fundamental branches of mathematics. It deals with shapes, patterns, symmetries, proportions, and relationships that exist in nature and in human-made objects. Geometry is also one of the most beautiful and elegant branches of mathematics. It reveals hidden order, harmony, logic, and simplicity in complex phenomena.


By playing Pythagorea 60, you will be able to discover the beauty and naturalness of geometric constructions. You will be able to see how simple shapes and figures can be created by using only straight lines and segments, and by following some basic rules and principles. You will be able to appreciate the elegance and efficiency of geometric constructions, and how they can solve complex problems with minimal resources. You will be able to marvel at the beauty and diversity of geometric shapes, and how they can form intricate patterns and designs.


To refresh and check your knowledge of elementary geometry




Geometry is one of the subjects that you probably learned in school, but may have forgotten or neglected over time. Geometry is also one of the subjects that you may need to use in your daily life, work, or hobbies, but may not realize or remember how to do so. Geometry is also one of the subjects that can help you develop your logical thinking, spatial reasoning, problem-solving, and creativity skills, but may not have the opportunity or motivation to practice them.


By playing Pythagorea 60, you will be able to refresh and check your knowledge of elementary geometry. You will be able to review and recall the basic concepts and properties of Euclidean geometry, such as circles, angles, triangles, polygons, congruence, similarity, parallelism, perpendicularity, bisectors, medians, altitudes, circumcenters, incenters, orthocenters, centroids, etc. You will be able to apply and test your knowledge of elementary geometry to solve various geometric problems that range from easy to hard, from simple to complex, from obvious to tricky. You will be able to identify and correct any gaps or errors in your understanding of elementary geometry.


To enjoy a relaxing and stimulating brain exercise




Geometry is not only a subject that you learn or use, but also a game that you play. Geometry is not only a science that you study or apply, but also an art that you create or appreciate. Geometry is not only a challenge that you face or overcome, but also a pleasure that you enjoy or share.


By playing Pythagorea 60, you will be able to enjoy a relaxing and stimulating brain exercise. You will be able to relax your mind from the stress and worries of your daily life, and immerse yourself in a world of shapes and patterns that are calm and soothing. You will also be able to stimulate your brain from the boredom and monotony of your routine activities, and engage yourself in a game of logic and creativity that are fun and rewarding. You will also be able to improve your mental health and well-being by playing Pythagorea 60 regularly.


Where to download Pythagorea 60?




If you are interested in playing Pythagorea 60, you can download it for free from various sources. Here are some options for you.


The APK file for Android devices




If you have an Android device that supports APK files, you can download the APK file of Pythagorea 60 from this link: [Pythagorea 60 APK]. The APK file is a package file that contains all the necessary files and data for installing the game on your device. The APK file has a size of about 12 MB and requires Android 4.4 or higher to run.


To install the APK file on your device, you need to enable the option "Unknown sources" in your security settings. Then you need to locate the downloaded file on your device's storage and tap on it to start the installation process. Follow the instructions on the screen and wait for the installation to complete. After that, you can launch the game from your app drawer or home screen.


The XAPK file for Android devices with OBB data




If you have an Android device that supports XAPK files, you can download the XAPK file of Pythagorea 60 from this link: [Pythagorea 60 XAPK]. The XAPK file is an extended version of the APK file that contains additional OBB data files that are needed for some games or apps. The XAPK file has a size of about 14 MB and requires Android 4.4 or higher to run.


To install the XAPK file on your device, you need to use a special app that can handle XAPK files, such as [APKPure] or [XAPK Installer]. You need to download and install one of these apps on your device first. Then you need to locate the downloaded XAPK file on your device's storage and open it with the app that you have installed. Follow the instructions on the screen and wait for the installation to complete. After that, you can launch the game from your app drawer or home screen.


The official website for more information and supportIf you want to know more about Pythagorea 60, you can visit the official website of the game at this link: [Pythagorea 60 Website]. The official website contains more information and details about the game, such as the features, the screenshots, the videos, the reviews, the ratings, the updates, etc. You can also find links to other games and apps by the same developer, such as Euclidea, Pythagorea, and XSection.


If you need any support or assistance with Pythagorea 60, you can contact the developer of the game at this email address: [Pythagorea 60 Support]. The developer is very responsive and helpful, and will try to answer your questions and solve your issues as soon as possible. You can also join the community of Pythagorea 60 players on Facebook, Twitter, or Reddit, where you can share your solutions, tips, feedback, suggestions, or opinions with other players.


Conclusion




Pythagorea 60 is a game that combines fun and education in a unique and innovative way. It is a game that can help you learn and practice Euclidean geometry, challenge your logic and creativity, and enjoy a relaxing and stimulating brain exercise. It is a game that can appeal to anyone who loves geometry, mathematics, logic, puzzles, or games in general. It is a game that you can download for free from various sources and play on your Android device anytime and anywhere.


If you are interested in playing Pythagorea 60, we hope that this article has given you enough information and motivation to do so. We hope that you will have a great time playing Pythagorea 60 and discovering the beauty and naturalness of geometric constructions. We hope that you will also share your experience and feedback with us and with other players. Thank you for reading this article and happy playing!


FAQs




Here are some frequently asked questions about Pythagorea 60 and their answers.


Q: How many problems are there in Pythagorea 60?




A: There are more than 270 problems in Pythagorea 60, divided into 15 topics. Each topic has 18 levels that increase in difficulty and complexity.


Q: How do I unlock new topics and levels in Pythagorea 60?




A: You can unlock new topics by completing at least 12 levels in the previous topic. You can unlock new levels by completing the previous level or by using stars that you earn by solving problems.


Q: How do I earn stars in Pythagorea 60?




A: You can earn stars by solving problems in Pythagorea 60. You can earn up to three stars for each problem, depending on how many moves you use to solve it. The fewer moves you use, the more stars you earn.


Q: How do I use hints in Pythagorea 60?




A: You can use hints by tapping on the hint button at the bottom right corner of the screen. The hint button will give you a clue or a suggestion on how to proceed with the problem. However, using hints will reduce your score for that level, so use them wisely and sparingly.


Q: How do I access the glossary in Pythagorea 60?




A: You can access the glossary by tapping on the glossary button at the top right corner of the screen. The glossary button will open a list of definitions and explanations for all the geometric terms and concepts that are used in the game. You can also access the glossary from the main menu by tapping on the question mark icon. 44f88ac181


 
 
 

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