TABLEAU RADIAL PIE GAUGE CHART TUTORIAL

How to Create a Spirallic Numbers Dataset

Steps

The Tutorial

1. Make the dataset by opening a new Excel worksheet and choosing a cell inwards and downwards about 10 rows and columns to start inputting the numbers into.You may start with 0 or 1 or any number; 1 is recommended.
2. Proceed sequentially outwards in a spiral.If you want to save a little time, use a formula like "=J15+1" and copy it up, across or down off as many cells as need be. You may then find a like formula nearby as you go outwards, which will speed things up greatly. This will also allow you to use any originating number in the center, should you so choose..
3. After you have built the data set up to 100 or 324 (as in the example), you're good to go!
4. You will notice right away that the prime numbers are fairly evenly distributed in the 4 quadrants at this point.You might try blocking in non-primes in groups in patterns to see if you can predict primes!
5. Notice there are a number of sequences to the columns and numbers which follow Summation Notation.
6. Notice also that the first sequence is easy -- it's the diagonal from the center to the bottom right.Its pattern to produce the sequence 1,3,13,31,57,91,133,183,241,307, ... is -1*0+1=1, 1*2+1=3, 3*4+1 =13, 5*6+1 = 31, etc. You will find a similar pattern extending to the upper left.
• Notice that the second pattern is trickier: the vertical pattern that produces the sequence 1,4,15,34,61,96,139,190,249,316 is more involved. If one takes the difference of those numbers and then the differences of the differences, one gets 8's, so one knows that a constant value of 8 is being added in the sequence. Knowing that, a typical rate of change is produced by ((a*b)+c)+8 = result, with a being constant. Such is the case here as it turns out, for the sequence is produced by ((4*-2)+4+8)=4, ((4*1)+3+8)=15, ((4*6)+2+8)=34, ((4*13)+1+8) = 61, etc. with the increment to b being 3,5,7,... and the increment to c being -1, while a=4 and 8 are constants. There's an elegant way to write that in Summation Notation with N's and K's and i's and all but it's beyond the text capacity we're operating under. Actually, I just found another way to resolve the series: 1==((-1*0)-7)+8, 4=((1*2)-6)+8, 15=((3*4)-5)+8, 34=((5*6)-4)+8, 61=((7*8)-3)+8, 96=((9*10)-2)+8, etc.
7. Notice the horizontal pattern is a bit trickier to discover.8's were again a constant difference of the differences but it took me awhile to find the rest of the formula. The sequence of 11,28,53,86,127,176,233,298, ... is generated as far as I know by ((4*-5)+23)+8=11, ((4*-1)+24)+8 = 28, ((4*5)+25)+8 = 53, ((4*13)+26)+8 = 86, etc., with a=4 and 8 remaining constant while b increments by 4, 6, 8,... and c incrementing by 1. Again, there's a more elegant way to state that. If anyone happening to read this can help out, great. There's another way to resolve this sequence also: 2=((2*3)-12)+8, 11=((4*5)-17)+8, 28=((6*7)-22)+8, 53=((8*9)-27)+8, 86=((10*11)-32)+8, 127=((12*13)-37)+8, 176=((14*15)-42)+8, 233=((16*17)-47)+8, and 298 =((18*19)-52)+8, etc. with element c decrementing by -5 each time.
8. Notice that the diagonals take the form of ((a*b)+c)+d = Sum wherein b_sub_0 is 1 greater than a_sub_zero, a_sub_1 was 2 greater than a_sub_0 and b_sub_1 was 2 greater than b_sub_0, i.e.(1*2) changed next to (3*4). This might be the general pattern instead of working with 4's as had been, The role of d=8, the difference of the differences, was still present, so then you just need to figure out which a and b pair best approximated the answer and adjust with c accordingly, by trial and error. It did not take long to hit upon the solutions.
9. There are resolved 2 more sequences:5=((2*3)-9)+8, 18=((4*5)-10)+8, 39=((6*7)-11)+8, etc. and also 8==((2*3)-6)+8, 23=((4*5)-5)+8, 46=((6*7)-4)+8, 77=((8*9)-3)+8, 116=((10*11)-2)+8,163=((12*13)-1)+8, 218=((14*15)-0)+8 and 281=((16*17)+1)+8. These were done by the analytical method described above in Step 9, though it's a good hunch the problem will only yield to greater finesse than the lazy mathematician possesses.

Explanatory Charts, Diagrams, Photos

1. Review the spirallic dataset again to see if you can spot any other sequences in it -- how about the Fibonacci Series?Has anyone hi-lited that yet? Might be interesting! #

1. Make use of helper articles when proceeding through this tutorial:
• See the article How to Datamine for Primes Using a Spirallic Dataset for a list of articles related to Excel, Geometric and/or Trigonometric Art, Charting/Diagramming and Algebraic Formulation.
• For more art charts and graphs, you might also want to click on Category:Microsoft Excel Imagery, Category:Mathematics, Category:Spreadsheets or Category:Graphics to view many Excel worksheets and charts where Trigonometry, Geometry and Calculus have been turned into Art, or simply click on the category as appears in the upper right white portion of this page, or at the bottom left of the page.

Community Q&A

Search
200 characters left
• Nature uses spirals in building all sorts of forms, from organs to the abdomens of wasps, etc. -- all the way down to the stinger I imagine! That's the information I have from a Father (Priest) who lectured on Nature at a local college; I do not know so from firsthand microscopic observation however.

Video: Build a TensorFlow Image Classifier in 5 Min

How to Create a Spirallic Numbers Dataset images

2019 year - How to Create a Spirallic Numbers Dataset pictures

How to Create a Spirallic Numbers Dataset recommend photo

How to Create a Spirallic Numbers Dataset picture

How to Create a Spirallic Numbers Dataset new foto

foto How to Create a Spirallic Numbers Dataset

Watch How to Create a Spirallic Numbers Dataset video

Communication on this topic: How to Create a Spirallic Numbers Dataset, how-to-create-a-spirallic-numbers-dataset/ , how-to-create-a-spirallic-numbers-dataset/

Related News

Selena Gomez Jets to the Netherlands to Support The Weeknd on Tour
4 Cilantro Beauty DIYs That Will Make Your Skin Glow
The Mediterranean Diet and Lifestyle Helped Me Lose 100 Pounds—Here’s How
Signs You’re Not Dressing Your Age
Relationship Advice for How to Fight Better
The Easiest Way to Cut Your Own Bangs at Home Like aPro
How to Understand Critical Illness Insurance Cover in the UK
Ginger Pork Stir-Fry
How to Rest with Your Eyes Open
Editor’s Pick: A New Novel That Might Really be the Next GoneGirl’
I’m Not Afraid’: Dame Tessa Jowell’s Inspiring Words On Fighting Cancer Brings People To Tears

Date: 05.12.2018, 01:50 / Views: 32563