Love triangles are the most popular themes in entertainment. And it is also the most researched topic in the field of human psychology. There are complete scientific models for a Love Triangle which can accurately predict the outcome, given all the necessary data is available. Many Bollywood directors have churned out loads of dollars just by changing some variables, and eventually the final outcome. People also find the theory of “Love Triangle” simple enough to understand. Some of the theories suggest that, in a Love Triangle, the arrangement is unsuitable for one or more people involved. That number, as anyone might guess, will range from 1 to 3. The fact is, Love Triangles are meant to be broken. It cannot remain as a triangle forever. It has to end either in a straight line and a point, or three points. So, we can safely conclude that a “Love Triangle”, is by nautre, a very unstable arrangement. It is not a happy ending for everyone, though some Bollywood movies manage to bring in a fourth point into the frame when the triangle is just about to break into pieces.

Let us now study a more stable, but complicated arrangement that has not been experimented with by our Bollywood directors much. The “Love Rectangle”. Well, not many of our Hindi movies are based on this theme, the only one that comes to my mind right now is “KANK”. Though the theme of the story is “Extra-marital relationship”, principally, it is a “Love Rectangle”.

Definition : 2 boys of equal height and 2 girls of equal breadth.

William Shakespeare’s “A Midsummer Night’s Dream” is also based on a Love Rectangle. Unlike the Triangles, this arrangement may sometimes be unfavorable for everyone, but statistically speaking, in the end, the rectangle breaks up into two straight lines(almost 99%). In such cases, the possibility of four points is very rare. Since points, by nature are unstable. They always tend to form polygons, or lines. I tried reading all the mathematical models available on Love Polygons in human psychology, but they all seem to be so complicated. There were at-least 50 different variables to be considered to accurately predict the final state of the polygon. I tried reducing the polygon to a mere triangle(since this is the maximum reduction that I could have done), but then all the theories available today, say that predictions for a polygon with even sides are 100 times more accurate than those with odd sides. So, afraid of arriving at erroneous results, I had to reduce the polygon to a Rectangle.

Rectangles, are very rare to find as well. What the psychologists have in their theories is how to predict the future states of the rectangle. None of them have tried proposing a solution that could be applied to a generalized Love Rectangle. So, here I propose my solution for solving a Rectangle.

Being a IT guy, my theories will follow object-oriented approach and will draw some inspiration from the well known fundamentals of Linked Lists in computer programming. More specifically, Circular Linked Lists. Let us define some variables.

1. Each person is called a Node.
2. Each link is called a relation ( A Relation can be omni-directional, both forward and backward)
3. We can make or break any relation/link to attain any possible configuration of the nodes.
4. Yellow dots represent Male.
5. Pink dots represent Female.

Assumption: Sexual Orientation of each node – “STRAIGHT” . So, links between similar nodes are not possible.

Here is the initial configuration of a rectangle.

I won’t go into details of this diagram. It seems to be self-explanatory. So, moving ahead with the solution, if we could slightly decouple all the links/relations between each of the nodes, the rectangle might become very unstable. But, since this is not the final step and I would be making new links to arrive at a more stable configuration, let us assume that, for a moment, the configuration are allowed to be skewed a bit, i.e. on the verge of breaking all the links.

During this momentary unstable conditions, where all the nodes are ready to accept new connections, it is easier to create new links which would result in a more stable configuration for all. So, we try to make new links and break some existing ones. But, finally, we will always of the same number of links that we started with, as per the Law of conservation of Links.

In the figure below, the links in blue, are the new links, and the links colored in green, are the old links which finally, will be deleted.

And, finally, the configuration would somewhat look like this. Everyone’s happy, lets party.

Unlike in a triangle, where one or more person has to go back home with a frowning face, in a rectangle, there are more chances for each node to be in a WIN-WIN situation. So, as we can see, initially, we had a circular singly-linked list, though the process of modifying the linked list brought about an overall increase in the number of linked lists, the current form of both the linked lists are more stable, provided any external factors are not allowed to interfere.

That’s my solution. It is still in research stage. I want some volunteers on which I could test my theories. Once this theory is established for its correctness backed by experimental results, I will apply for a patent. Volunteers can reach me at my e-mail id.

Bibliography:
1. Wikipedia – Love Triangles, Love Rectangles, Love Polygons
2. Let Us C – Yeshwant Kanetkar
3. Linked Lists in Computer Programming – O’ Rielly
4. Mathematical Models for Love Problems – Albert Eintein

Important Warning : If you feel that you are in a love rectangle/triangle/ploygon, before making the final move, please pick up your geometry box, measure your angles accurately, and then finally draw your lines. Once the lines are drawn, its not very easy to re-draw them.
WE DON’T HAVE ERASERS IN REAL LIFE.