Introduction: Musical tune comprised of certain notes can express human feelings of different kinds; good, bad, sad, romantic, erotic, despair, anger etc. Combination of notes is responsible to express the mood. A single musical note has a clear holy pitch of sound. For example, the note C has the pitch 261.63 Hz and the pitch …

## Mathematics of Musical Notes

Introduction The fundamental element of music is sound. Each sound has a pitch, which is somehow related to Mathematics. When we talk about musical sounds we actually consider the certain pitch of sounds that can be used in musical pieces. Sounds that are able to make feeling to the listeners. Human feelings may be of …

## Graph Theory as the Base of Four Color Theorem

Graphs Graph is a structure of a number of points and their connections within. The points are called Vertices (Vertex in singular). Connections are called Edges. Planner Graphs are those where the vertices can be placed in a way so that no edge will go over other edges. Planner graph can be drawn on a …

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## History of Four Color Theorem

This is one of the most famous mathematical theories or problems. Many years were spent for finding the solution of this at least 150-year old problem. Mathematicians and some curious amateurs thought on this in different times. Some could not find any solution and some others, in their own words, did find the solution. Sometimes, …

## Pigeonhole Principle

Pigeonhole Principle is one of the interesting counting principle theories in Mathematics. The principle says, if there is k+1 pigeons and k holes then, there will be one hole with more than one pigeons. In general, the principle is: if there are n+k pigeons and k holes then, there will be n/k or more pigeons …

## Konigsberg Bridge: An Example of Graph Theory

We often experience of seeing islands on rivers; at the middle of a big river. The stream comes from one direction and gets divided by the island. Then flows into two streams and gets united again after the island. These are very common natural scenarios with many river flows on low land areas. You may …

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## Can You Draw It In One Go?

Bangladeshi children in 80’s used to play a game with pencil and paper. Whether a certain figure can be redrawn with one go, that is, without lifting up the pencil and not going over any line again. For example, outline of a hat is simply drawn with edges and a kid is asked to redraw …