This too has pattern

 One of the surprising results I got was of golden ratio and pi equivalence.  Philosophically both are ratios. One equally and the other on God's proportion. 

The difference between the golden ratio and pi expressions was 2 into 3 factorial by 5 factorial.  Which is 1 by combination (5,2).

I decided to use combination (5n,2n) and explore more.

Here are the results. 

As you can see, the patterns are simply amazing.  There is a clear one line pattern difference in them. Is it not amazing?

Hypergeometric functions are of John Wallis. My first pi algorithm was of John Wallis. Measuring Behavior.  Now I am able to show patterns in his Hypergeometric functions. 

John Wallis 

I have taken a printout of the above and have kept in my office drawer.

Have a nice day !!

Journey towards becoming a comic artist - 6

You may be aware that I am using PDCA technology to improve comic drawing quality. 

I was doing three sets namely hands, human figures and objects in my PDCA cycle in one day. This I did for three days. And continued like this.

Now I have changed my strategy. Now I plan to do hands on one day; human figures the next; and objects the third day. All using PDCA cycle and to be continued every three days. I have termed this "focused " PDCA cycle. 

So "focused " PDCA cycle is what is new in my approach towards comic drawing practices.  I thought this might be important and decided to share with you all.

"Focused " PDCA cycle from now onwards.  Have a nice day!!

Another picture with an eternal message

 

Consecutive numbers fetched results in

1. Infinite series and mathematical constants

2. Binomials and approximations

3. Shagun

4. Hypergeometric distributions

Have a nice day !!

A few pictures but an eternal message

 

Journey towards becoming a comic artist - 5

I have changed my plans towards becoming a comic artist.  And that is I shall include inking too in my daily practice.  What I mean is I shall practice man, woman, kids, animals, objects, buildings,  vegetations and all daily in different perspectives with pencils.  I shall also be inking them then and there or at a later time. I realized there is no point in doing inking at a later time. Whatever needs to be done for a complete comic namely drawing and inking, should be started immediately and both together.

So my complete comic practice starts from today. And I shall practice till 5 years or till when I am happy with my drawings.  Whichever is earlier.  Currently my plans are to stay in paper. Not going digital. 

Here is an inked left hand.

And an inked right hand drawn with the help of a mirror.

I am doing inking with these. I bought them about 7 years ago when doing cartoons. These were imported from USA.

Have a nice day.

Educational activities begin

 

Yesterday was a day of prayers and plans and wishes in education. 

And today the practice.  I took my bath. And after applying ashes on my forehead (Shiva tradition) I did namaskarams before God. And then I read a page from Ramanujan book. As a symbolism.

Wishes of mine

 

Aim

To be a very good comic artist.  To be a good colored pencils portrait artist. To have access to mathematics journals,  books and resources. 

Why

Comic artist because it encompasses all aspects of drawing namely accuracy, perspective, 3d and light and shadows. Colored pencils portrait artist because it is a money earner. Mathematics because I want to learn digamma,  partial sums, convergence, binomials, trigonometric functions,  hypergeometric functions, number theories and golden ratio applications. 

Resources 

I have Faber Castell polychromos pencils,  Doms colored pencils,  Camlin oil pastels,  Camlin poster colors,  colored gel pens, Staedtler Luna watercolor pencils,  Mont Marte skin colored pencils,  Brustro skin tone colored pencils,  Crayola skin colored pencils,  Crayola skin colored wax crayons,  Staedtler Mars Lumograph Drawing pencils,  Yissvic pencils set, Artline Drawing System gel pens black, waterproof black ink; and other local items like HB pencils, graded pencils, local black ink, black ballpoint pens, black 0.5 gel pens, black sketch pens; and also nibs and pen holder for cartoon making, local art brushes, blending sticks,  kneaded eraser, white gel pens, white charcoal pencils. I have partial differential equations book and complex analysis book and Wikipedia over internet for mathematics. I have Ochre colored notebook,  Grey colored notebook and thick and normal white A4 sized papers.

Then What

I will be able to teach society conceptually in golden ratio and pi and light and shades and consecutive numbers applications in drawing and mathematics.