Watery Art using Maths Expression

Graphs are wonderful thing in the learning of maths.

Not only does it reflects visual symptom or trend in data collected, it displays, if allowed, beautiful images.

This is possible if you allow you maths juice to go free and create mathematical expressions to your fancy and view them on a graph.

Below I have created one.  I visual it as water rippling through a surface (on the top view).

Hope you like this maths art of mine.

NOTE: It is created using trigonometry of circulatory expression.

Here I view a water droplet going down into the centre. It then produces ripples or waves spreading outwards in a circular manner.

Imagination ....
Maths expressing ......


:-)





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A Mathematical Waterfall

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Mathematics equation can be fun.
It is not only used as a problem-solving tool, it can be used to create visual image simulating scene.

By trying a few equations, anyone with patience and basic maths knowledge can do it.
Simply create an expression or equation in a graph and tweet it to form any image.

Here you will see an image formed up to look like a waterfall.

Enjoy yourself.

This was done with both logarithm and trigonometry functions.

:-)

Using Equation To Create A Square Graphically

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While studying maths, I have been exposed to equation that forms a circle.

We know that x^2 + y^2 = 1 creates a circle.

But I have been wondering what is an equation to form a square.

I had tried a few mathematical expressions till today.

And finally I found the interesting and mysteries equation. 
It utilises the same concept as the circle except that hyperbolic trigonometry is applied.

Below is a graph plotted with that equation.

The corners are rounded though. Any one has any try with a more sharper corner?

Graph is a wonderful tool as it can present results visually with one view.
Appreciating maths and using it appropriately can reduce many complex problems.

Maths is interesting.

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Artistic Mathematical Lantern

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Have you wondered what can maths do to art?


Below is a lantern made by a mathematical expression.

With maths, you can be assured of producing wonderful images when you have the appropriate expression.


Do create some for enjoyment.


Maths is interesting.


:-)

Amazing Trigonometric Art

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Maths does wonders when presented in graphical form.

This is provided the mathematical equation makes it so.

Using the trigonometric relation, x sin x = y cos y, the artistic effect of this equation is shown below.



You can now see that, though maths can be boring at times, it can reflect its beauty through other means.

Don't you agree?

Maths is Interesting! Watch out for it!

.. :D

Mathematics Letter S

Using graph and equation, you can create wonders.

Graph does not only mean lines and curves. It can be "letter" too, as seen below.



With creativity and a bit of trying, you can have surprising images formed through graphs.

With mathematics, you are not limited to equation and solving problem. You can have fun and that makes mathematics interesting.

:-)

Mathematical Flower For Festive Season

Since this is the end of the year, with the festive season coming, I have designed a flower through the graphical means using the mathematical expression indicated.

It is done in polar form with the x as the time base and y as the modulus (amplitude).

Happy greetings to my readers.




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Lines of Wisdom

In an earlier post, the enjoyment of knowing maths was demonstrated in its ability to form pictures.

Here is another example of playing with the trigonometry to create mathematical art.



In this piece of art, 4 graphs of various mathematical expressions were overlapped to form the result.

I name this piece of art the "Lines of Wisdom".

In the graphs, maths functions like the sine and sinh operation were used together with trigonometrical multiplication.

:D

Creating A Maths Picture

Maths can be used in many ways.

It is normally used to solve daily calculations related to work, life, etc.
It can be used to model a system to understand its performance and behaviour.

However, on the fun side, it can be used to create a picture using graph as a means.

Here in this post, a picture formed through merging trigonometry with modulation technique is shown.


What do you think this picture is about?

While creating this maths picture, a kid so happened to have a glimpse of it, and commented that it looked like the front view of an aeroplane.

For me, it seems to be the captured voice of Optimus Prime, the Transformer Autobot leader.

With maths, if you understand the underlying principles of various elementary topics, you can freely come up with any mathematical figures that you wish.

Here, I have simply used the special sinc function modulated (multiplied) by a high frequency trigonometric sine function to get this mixed result.

Using graph is one way to form picture, like the one created here.
It is fun seeing your imagination materialise through using maths and graphs as the tools.

Try it for yourself. You will enjoy maths and its fun picture creation.

:D

Graphical Art (Jelly Fish)

What does the above graph looks like?

A jelly fish drawn out of trigonometrical expressions. Wondering what is maths about...

Yes, on the interesting part, maths is lively, as seen above.

Animals come alive with maths.....

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Graphical Art (Volcano)

The piece of graphical art above reflects the beauty of mathematical functions when plotted.

It not only shows the trend of the equation , it can be used to draw figures.

The above diagram is drawn using trigonometrical functions, and to me, it looks like a volcano.

What do you think?

Maths is interesting, in this aspect, right?

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