How to Create a Tornado Screw Pattern in Microsoft Excel

Part 1 of 4:

Previous Lessons Learned

This article relies on the previous accomplishment of the two articles preceding it:
1. Create Artistic Patterns in Microsoft Excel and
2. Create a Flower Pattern in Microsoft Excel.
Please complete those first before attempting this article. This one's followed by the 12 articles in the Related wikiHows at the bottom of the page.

Part 2 of 4:

The Tutorial

Start a new workbook by saving the old workbook under a new name. Save the workbook into a logical file folder.
Insert a new column at Column A. Enter "=ROUND(1440/S_COUNT,1)" into cell A1. Format Cell Number Number Custom "Rrs" 0. Insert Name Define name Rrs to cell $A$1.
1. Enter the formula "=ROUND(1440/Rrs,0)" into cell A2.
2. Enter On=0,Off=1 into cell A3.
3. Enter 1 into cell A4.
4. Edit Go To cell range A7:A1447 and with A7 active, enter the formula without quotes or spaces "=IF(OR( AND((ROW()-7)>Rrs,(ROW()-7)<=Rrs*2), AND((ROW()-7)>Rrs*4,(ROW()-7)<=Rrs*5),

AND((ROW()-7)>Rrs*7,(ROW()-7)<=Rrs*8), AND((ROW()-7)>Rrs*10,(ROW()-7)<=Rrs*11), AND((ROW()-7)>Rrs*13,(ROW()-7)<=Rrs*14), AND((ROW()-7)>Rrs*16,(ROW()-7)<=Rrs*17), AND((ROW()-7)>Rrs*19,(ROW()-7)<=Rrs*20), AND((ROW()-7)>Rrs*22,(ROW()-7)<=Rrs*23), AND((ROW()-7)>Rrs*25,(ROW()-7)<=Rrs*26)),0,1)+On_0_Off_1"

Insert Name Define Name Divisor into cell $E$3 and enter 1000. Format Cell Fill Yellow Font bold and Number Number Custom "Divisor" 0.00 with quotes.
Insert Name Define Name AAA into cell $D$5 and enter .000004. Format Cell Fill Yellow Font bold and Number Number Custom "AAA" +.00000000;"AAA" -.00000000 with quotes.
Enter 12 into cell B2, TURNS. Enter 24 into S's Count cell C1 for Spheroids (the example chart uses 25 but the pairs come out better with 24). Enter 968277 into cell D3, top. Enter .61 into cell H1 and .78 into cell J1.
Check the formulas in the columns:
1. B7: "=IF(EVEN(S_COUNT)=S_COUNT,ROUND((-B4*PI())+(Adj),0),TOP)" w/o quotes for this and all of this step's formulas.
2. B8:B1447: "=((B7+(-TOP*2)/(AdjRows)))*$B$1"
3. C7: "=ROUND(-EXP((PI()^2)+(Cc*-(db))),0)+Designer"
4. C8:C1447: "=C7"
5. NEW: D7:D1447: "=IF(A7=0,D6,COS((ROW()-7)*Factor*PI()/(180))*((ROW()-7)/Divisor))"
6. NEW: E7:E1447: "=IF(A7=0,E6,DEGREES((ROW()-7))/41500)" This uses the DEGREES() function for the first time. See Tips below and Excel Help under Home > Function References > Math and Trigonometry Functions.
7. NEW: F7:F1447: "=IF(A7=0,F6,((PI())*((SIN(B7/(C7*2))*GMLL*COS(B7)*GMLL*(COS(B7/(C7*2)))*GMLL)+D7)))"
8. NEW: G7:G1447: "=IF(A7=0,G6,((PI())*((SIN(B7/(C7*2))*GMLL*SIN(B7)*GMLL*(COS(B7/(C7*2)))*GMLL)+E7)))"
9. H7:H1447: "=F7*GMLL*Sync1"
10. I7:I1447: ""=G7*GMLL*Sync1"
11. J7:J1447: "=F7*GMSL*Sync2"
12. K7:K1447: "=G7*GMSL*Sync2"
The various Lookup Tables have not changed since "Create a Flower Pattern in Microsoft Excel" or "Create Special Designs and Patterns 02". Here below is an image of my header rows and data to check against your own and the previous file's (*02" for short) original formulas. There should be no errors. Make sure there is a formula in cell A7.

Part 3 of 4:

Explanatory Charts, Diagrams, Photos

(dependent upon the tutorial data above)

The charting is left to the imagination of the reader, given Excel's new capabilities for shadow and glow, reflection and so forth. Refer to the prior article for any basic problems with charting. Basically, chart the last 3 pairs of columns as individually paired sets of {x,y}'s for a threesome effect.
Final image #

Part 4 of 4:

Helpful Guidance

Make use of helper articles when proceeding through this tutorial:
1. See the article How to Create a Spirallic Spin Particle Path or Necklace Form or Spherical Border for a list of articles related to Excel, Geometric and/or Trigonometric Art, Charting/Diagramming and Algebraic Formulation.
2. 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.

Marvin Fry

Update 05 March 2020

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