Prologue: I was watching ANTM and saw this photo with this text that says "Good things always come in threes". How interesting...

Suppose there are 3 non-collinear points in a 2D space. Let p1, p2 and p3 be these 3 points in this space.

Mr Euclid once said that "any 3 NON COLLINEAR POINTS form a TRIANGLE, a basic shape in geometry". The word "basic" suggests it is a fundamental shape/theory which many more complex ones will be built upon the seemingly harmless TRIANGLE, and here we go.

My math teacher taught us that n-sided polygon is formed by (n-2) triangles. And true enough, you can get 2 triangles out of a 4sided polygon, 3 triangles from a 5-sided polygon, so on and so forth. This is the first time I see this pricky darn thing spanning a series of formulas and theorems. IRRITATING...yes. But manageable. If there is a tinge of IRRITATION at this stage already, should I still comply with theorem 3.0? *shrugz*

Few years later, my math professor decided that maybe we should learn how to integrate triangles in a 3D space to get the respective volumes. 2-3 weeks into my calculus lecture, other n-sided polygons appeared in the later part of my calculus notes. Geez, you should have taken a look at the help sheet I brought into my calculas exam hall at the end of that semester; it was so cluttered with graphs, formulas and theorems that it looked almost like a blue colored paper that you can buy off the shelf. At that point of time, I truly understand that THREE is a BASIS OF EVIL ELEMENTS that spans nothing but A VOLUME OF PROBLEMS!

Contradiction arises. Therefore, Theorem 3.0 is NOT TRUE (proven)! Honestly, GOOD THINGS DON'T COME IN THREES!


Corollary. If you are involved with the number "3" or a "TRIANGLE" right now, I am telling you again that they are nothing but a BASIS OF EVIL ELEMENTS THAT GENERATES VOLUMES OF PROBLEMS, based on my experience.