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You might not know that at the very high end of navigation like systems all the complexity you experience is built on top of abstracted layers of concepts that are a gained two-dimensional geometric figures knowledge.

In this article, I will help you build a mental paradigm that capable of recognizing different two-dimensional shapes and a basic perception of an angle classification system.

By two-dimensional figures, I anticipate all the closed shapes that can fit into a plane surface or a planar. There are too many legitimate ways to classify 2D geometric figures but in this article, I will only describe the angles classification system.

Now, Let's jump into it...

Our first shapes family is called the zero-angles family: It is very limited in members count, It has no sides either corners therefore it owns zero angles. The first member of this family is called the "Circle". And it's a very quite known member. the "Circle" has 360 degrees and the mathematicians don't know why only 360 degrees?!! No one knows.

What are the Circle's main characteristics? Simply, All of the drawn lines that pass the shape's center point must be all equal in length within its circumference boundary.

The zero degrees family has another member called the "Oval". The main rule to differentiate the second member is by negating the Circle's judgment. This means you can find unequal drawn lines crossing the shape's center point within its circumference boundary.

#1: The first group of the 2D figures has no degrees and no sides. We can register the Circle and the Oval as members of this group.

The second family in our classification system is the "Triangles" family I know that the word "Triangle" fires up some neural activities in your brain cells, Yes you are right it's the family that owns the Triangle. But let me explain it to you: We coined the term "TriAngle" Because it has three angles, three sides, and three corners. I believe that the TriAngle is a very common geometric figure, And to me, it's a very dear figure maybe because it's interconnected with my first memories of stepping in mathematics, Maybe it's because it's heavily used to calculate the length between any given points on a planar.

#2: The second group is the TriAngles family that owns three sides and three degrees.

The third family is called the "Quadrilateral" family, And from the descriptive term, you might now resolve its content. It's the popular four-sided family. In the "Quadrilaterals" we can find all the shapes that own four sides and four inner corners. But based on the type of corners' angles we segment this family into two groups.

The first group is the "RectAngles": are all the figures that consist of four sides and you can certainly place a square in each corner. Or in another tone, it forms a right 90-degree angle within each of its corners. This group has a very dear member is called the "Square", And the "Square" is when you have four sides that exactly equal in length. So we can say that the "Square" is a specific figure of a "Rectangle".

The second group in the "Quadrilaterals" family consists of two subfigures, The first is called the "Trapezoid" and simply it's the four sides shape where you cannot place a square in each of its corners. So the inner degrees are cute or obtuse angles. To judge a "Trapezoid" figure you must find two opposite parallel lines and the other two opposite sides can have one future intersection.

This group also has a very dear member is called the "Rhombus", It's simply a four-sided shape where all the sides are exactly equaled in length. Fun fact the "Square" can be counted as a "Rhombus" but the opposite is false.

#3: The "Quadrilaterals" have two groups. The "Rectangles" are the first main group. The "Square" is a rectangle and also is a "Rhombus". The "Trapezoid" must have two opposite parallel lines and one future intersection for the other two opposite sides.

The fourth family is called the "Pentagon" and from the name, you can guess it's the five sided-figures. The members of this family must have five sides, five corners, and five angles.

The fifth is the "Hexagon" where all of its members must have six sides, six corners, and six angles.

The trivial coined term: "Life is short" and the childish expression "Eat, Drink and to be merry for tomorrow we die"

Since the beginning of my trajectory, I was emerged with accepting the concepts of life shortness. For me, life, as I understood and digested, was a short distend line-segment with negligible width and depth. At certain stages of my growing up, I believed that if we compare our life course against the Earth's existence we can represent ours as a dot.

A couple of weeks, I read something that circuited and reformed the previous legacy integrated idea of life shortness. A new mental proposition was built on top of those brain interfaces:

Why are we comparing our finite time against different non-humans, non-beings figures? like mountains or planets etc

Did you carefully weigh your lifetime course against maybe your dog's lifetime? Now can you see how long it is from a different perspective?

Do you think comparing a car's lifetime against a camel's lifetime makes sense to you? It's insane, isn't it?!

I think now you got my point. Seizing the interval and putting it into a rational perspective will lead you to realize that your life interval is not a limited finite as you used to think about it.

To have more brain horsepower, You must be aware of the brain's PDO components. 

"P" is the path where "D" is the duration and "O" stands for the outcome.

The path is the steps, the stack, or the sequential logic within the mind-map to accomplish a specific task. The duration is the task's estimated time of delivery, Which might be minutes, hours, or even days. Finally, the outcome is just the expected results. The results that you might expect after accomplishing the task you started.

By integrating the PDO concepts in your everyday thinking activities, You'll improve your overall brain efficiency and productivity.

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