Spatial geometry game. The Rubik’s cube.

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 Hi guys! This post will be dedicated to spatial geometry. This area of geometry studies voluminous figures that occupy a place in the space, also it studies the properties and measure of the geometrical figures in the 3D space. 

Some examples of this figures are the following: 






1. Cube: This is a 3D figure that has 6 faces, 12 edges and 8 vertices. All its angles are right, which mean that are 90º and each side has the same length. For example: a dice, this is a very visual example and students are able to relate it to the figure. 

2. Pyramid: This is a 3D figure that has a polygon base and triangular faces and all of them are connected to the apex, which is the higher point of the figure. The pyramid has 5 faces, 4 triangular side and a base. For example: Egyptian pyramids, which are historical figures and the history of them is very useful in order to engage the attention of the students in this topic. 

3. Sphere: This is a 3D figure that is created of a perfect round, it does not have any side or vertices and every point in the figure has the same distance from its center.


As for practicing this topic in a classroom, there is a traditional game that is directly related to spatial geometry. 

This game is called the Rubik’s Cube, this is a 3D puzzle which is made of smaller parts that can be moved. The principal goal of the game is to rearrange the cube so that each of the six faces shows only one solid color, usually white, yellow, red, orange, blue and green. 





The relation to spatial geometry is that this cube is a 3D geometric shape, concretely a regular hexahedron with 6 faces, 12 edges and 8 corners. The principal key of this game is spatial transformations, which consist in changing positions of the cubies that create the Rubik’s cube. 


This activity is very useful in order to practise how spatial geometrical figures are made and also to make students aware of how spatial geometry is connected to real life. Students will enjoy this ludic exercise as they can work in pairs or groups in order to try to discover every step and complete the activty. 

Here you can find a source in order to create a rubik's cube in 3D so the students can understand better how a cube is made: 




https://www.canva.com/design/DAGmGpWROHM/tHAY6M1oXyso_5mWwwj84g/edit?utm_content=DAGmGpWROHM&utm_campaign=designshare&utm_medium=link2&utm_source=sharebutton

Here you can access to a video about how to solve the Rubik's cube challenge: 





I hope you have learnt more about spatial geometry, its connection to the Rubik’s cube game and how to work on it in a classroom. I will see you soon!

Referencias: 


Ramos, S. (2014). Geometría del espacio. https://sandra76ramos.wordpress.com/geometria-en-el-espacio/


Gaceta del Colegio de Ciencias y Humanidades (s.f.). Cubo de Rubik, más que ingenio. https://gaceta.cch.unam.mx/es/cubo-de-rubik-mas-que-ingenio


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