How to make a wooden sphere with random pattern on the lathe
How to Create the One Sphere Pattern in Microsoft Excel
Steps
 Become familiar with the basic image to be created:
The Tutorial

Complete all changes in the upper Defined Variables section.
 Enter On=0,Off=1 cell A4 = 1
 NEW: Enter Spirallic YN into cell A5 and N into cell A6. Insert Name Define Name Spirallic_YN for cell $A.
 Enter Adjuster = 1 in cell B1.
 Enter TURNS = 1 in cell B2.
 Enter AdjRows = 1440 in cell B3.
 Enter t = 308,160 in cell B4.
 Enter S's Count = 1 in cell C1.
 Enter Designer =VLOOKUP(S_COUNT,SPHEROIDS_COUNT_LOOKER,2) in cell C2.
 Enter Var = 12 in cell C3.
 Enter Cc =0.25*PI()/C3 in cell C4.
 Enter db = 4.5 in cell C5.
 Enter Divisor = 40,571,226,658.4877 in cell D2.
 Enter AAA = 0 in cell D3.
 Enter Factor =IF(E3="Y",IF(ODD(S_COUNT)=S_COUNT,S_COUNT*0.01,S_COUNT*0.01),0.25)
 Enter Power = 1 in cell E1.
 NEW: Enter 60 into cell E2 and Format Cell Number Number Custom "(FFF)" 0.000000 with parentheses and quotes. Go to cell AA7 and enter "=E2" and Insert Name Define name FFF to cell $AA.
 Enter YN = Y for PartCycle in E3.
 Enter YN = Y for Molecules in cell E4 and Insert Name Define Name Molecules to $E or just copy and paste it in there. Enter
 top does not appear on the worksheet. If it did, it would probably do so in cell D1. Store it there now if you prefer.
 G1 GMSL = 0.381966011250105
 G2 GMLL = 0.618033988749895
 H1 = .98 and J1 = .96. H2 Sync1 =H1/GML and J2 Sync2 =J1/GMSL.

NEW:Enter the new column "SPIRALLIC" where TTT (perhaps) used to be in column L please.
 Enter Series 1 to PI into cell L5 and SPIRALLIC into L6, formatted underlined, bold, centered.
 Select L7:L1447 and Edit Clear Contents.
 Enter 1 into cell L7 and =PI() into cell L1447 via shift+tab. Then do tab to take it back to top of the selected range, L7:L1447.
 Do Edit Fill Series Columns Linear Step=accept proposed value or hit Trend if it stays on 1, OK.
 Insert Name Define Name SPIRALLIC to cell range L7:L1447.

Complete all changes in the midrange Columnar Formulas section.
 The long formula in cells A7:A1447 has apparently not changed.
 Check that the formula in cell B7 is =IF(EVEN(S_COUNT)=S_COUNT,ROUND((B4*PI())+(Adj),0),0.0000000000001)
 Check that the formulas in cell range B8:B1447 are still =((B7+(TOP*2)/(AdjRows)))*$B
 Check that the formula in C7 is =ROUND(EXP((PI()^2)+(Cc*(db))),0)+Designer
 Check that the formulas in cell range C8:C1447 are still =C7 (i.e. relatively equivalent).
 Check the formulas in D7:D1447 are =(X7/IF(Divisor=0,S_COUNT,Divisor)+(IF(COS((ROW()7)*PI()/180*Factor)<0,ABS(COS((ROW()7)*PI()/180*Factor))^Power*1,COS((ROW()7)*PI()/180*Factor)^Power)*IF(AAA=1,0,1)) +IF(AAA=0,0,AB7*IF(MOLECULES="Y",Factor,1))^Power)
 Check the formulas in E7:E1447 are =(Y7/IF(Divisor=0,S_COUNT,Divisor)+(IF(SIN((ROW()7)*PI()/180*Factor)<0,ABS(SIN((ROW()7)*PI()/180*Factor))^Power*1,SIN((ROW()7)*PI()/180*Factor)^Power)*IF(AAA=1,0,1)) +IF(AAA=0,0,AC7*IF(MOLECULES="Y",Factor,1))^Power)
 NEW: Enter the formula into cell range F7:F1447 =IF(A7=0,F6,((PI())*((SIN(B7/(C7*2))*GMLL*COS(B7)*GMLL*(COS(B7/(C7*2)))*GMLL)+D7)))*IF(Spirallic_YN="Y",SPIRALLIC,1) and Edit Fill Down.
 NEW: Enter the formula into cell range G7:G1447 =IF(A7=0,G6,((PI())*((SIN(B7/(C7*2))*GMLL*SIN(B7)*GMLL*(COS(B7/(C7*2)))*GMLL)+E7)))*IF(Spirallic_YN="Y",SPIRALLIC,1) and Edit Fill Down.
 Check the formula in H7 is =F7*GMLL*Sync1
 Check the formula in I7 is =G7*GMLL*Sync1
 Check the formula in J7 is =F7*GMSL*Sync2
 Check the formula in K7 is =G7*GMSL*Sync2
 The lookup tables have not changed, except for the following, perhaps:
 Check the value in cell U4, ADJ_Y is 0.141592653589793
 The value in FFF, cell AA7, should read 60.
 NEW? Under Radius in column Z are variable amounts. The formula in cell Z7 is =ROUND(((X7V7)^2+(Y7W7)^2)^0.5,4) and this is relatively the same in Z8 and Z1447.
 Check for errors. If there are any, there are none in the example workbook. Please see the Warnings section below for help, if and as needed.
Explanatory Charts, Diagrams, Photos
 (dependent upon the tutorial data above)

Create the Chart.
 Edit Go To cell range F7:G1447 and, using either the Chart Wizard or the Ribbon, select Charts, All/Other, ScatterSmoothed Line Scatter. A chart will appear atop the data unless using Chart Wizard, in which case a new Chart sheet will appear.
 Assuming the former case, Copy or Cut the chart from atop the data and paste it to the Chart worksheet, then expand it by hovering over the lower right corner until the cursor becomes a doubleheaded arrow and clicking to drag the Chart Area until about a 6" wide by 4" tall rectangle is formed.
 Using Chart Layout, select the Horizontal Axis and set Minimum to 2.72, Maximum to 3.5, Major unit to 1.5. Minor unit to 1.5 and Vertical Axis crosses at 2.72, in Base 10, OK.
 Using Chart Layout, select the Vertical Axis and set Minimum to .85, Maximum to .07 Major unit to 1.5. Minor unit to .3 and Vertical Axis crosses at 0.0, in Base 10, OK. There is a slight skew to the chart but it's pretty good as spheres go. It's done according to Min Max row formulas at the bottom of columns F and G kept there for just such an occasion.
 The axes may now be safely eliminated (unless it's felt a better job can be done to eliminate the slight skew), as well as any grid lines and legend. A printer is not hooked up to this computer and the older computer cannot read the newer Excel files, so, for now, it's difficult to check with a compass and see if my eyes are telling me it's as nearly a circle as I think. It looks just slightly skewed to the lower left to me but it's such a small discrepancy, I can live with it.
Helpful Guidance

Make use of helper articles when proceeding through this tutorial:
Community Q&A
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 Turns 64, AdjRows 1439, S_Count 3:
Spcl Design 11b 3 Spheroids
 Turns 10:
Spcl Design 11c 3 Spheroids
 Turns 9, S_Count 25, full picture not shown:
Spcl Design 11d 3 Spheroids
 Turns 9, S_Count 25, full picture shown:
Spcl Design 11e 25 Spheroids
 Spirallic_YN=Y, Turns 1, AdjRows 1440, S_Count 30, Divisor 7,157,695,965.65176 (which takes D1 close to 1 AND E1 close to 0 via goal seeking):
Spcl Design 11f 30 Spheroids Spiral
 Spirallic_YN=Y, Turns 9, AdjRows 1440, t 308100, S_Count 100, Divisor 7157695965.65176, AAA 0, Power 1, (FFF) 28.6470945405378 Y and Y:
Spcl Design 11g 100 Waves Spiral
 Turns 2, S_Count 63, Power 2:
Spcl Design 11h 63S Squared Spiral
 Adjuster 1.00005, S_Count 26, Power 1:
Spcl Design 11i 26S Chaos Spiral
 Adjuster 1, AAA 1:
Spcl Design 11j 26S Arm Spiral
 Adjuster 1, Turns 0, S_Count 15, Divisor 10, AAA 0:
Spcl Design 11K 15S PartSpirals
 S_Count 1, Divisor 4:
Spcl Design 11L 1S PartSpirals
 On Off 1, Spirallic_YN Y, Adjuster 1, Turns 10, AdjRows 1440, t 308,100, S_Count 32, Designer 6690, Var 12, CC .06544985, db 4.5, Divisor 32,AAA 1, Factor .32, Power 1,FFF 28.6470945405378, Y AND Y :
Spcl Design 11M Haywire
 Turns 63, S_Count1 10, Divisor 5:
Spcl Design 11N Partials in Spiral
 Turns 0, S_Count 32, Divisor 32, AAA .1:
Spcl Design 11O Old Rattler\'s Tail
 TURNS 63, S_Count 10, Divisor 5, AAA 1, (FFF) 10000:
Spcl Design 11P Basket Top
 To reset the Defined Variables to One Sphere, set them as follows:

 Enter On=0,Off=1 cell A4 = 1
 NEW: Enter N into cell A6, Spirallic_YN.
 Enter Adjuster = 1 in cell B1.
 Enter TURNS = 1 in cell B2.
 Enter AdjRows = 1440 in cell B3.
 Enter t = 308,160 in cell B4. This is a slight change.
 Enter S's Count = 1 in cell C1.
 Enter Designer =VLOOKUP(S_COUNT,SPHEROIDS_COUNT_LOOKER,2) in cell C2.
 Enter Var = 12 in cell C3.
 Enter Cc =0.25*PI()/C3 in cell C4.
 Enter db = 4.5 in cell C5.
 top does not appear on the worksheet. If it did, it would probably do so in cell D1. Store it there now if you prefer.
 Enter Divisor = 40,571,226,658.4877 in cell D2.
 Enter AAA = 0 in cell D3.
 Enter Factor =IF(E3="Y",IF(ODD(S_COUNT)=S_COUNT,S_COUNT*0.01,S_COUNT*0.01),0.25)
 Enter Power = 1 in cell E1.
 NEW: Enter 60 into cell E2.
 Enter YN = Y for PartCycle in E3.
 Enter YN = Y for Molecules in cell E4.
 G1 GMSL = 0.381966011250105
 G2 GMLL = 0.618033988749895
 H1 = .98 and J1 = .96. H2 Sync1 =H1/GML and J2 Sync2 =J1/GMSL. Save the workbook.

 The following was accomplished by setting Data worksheet cell D1457 to 26 decimals and entering the formula "=1D7". The desired result is 0, so Goal Seeking is done on that cell via Tools Goal seek, cell D1457, to value 0, by changing the value in cell D2 (Divisor). It's set to do 200 calculations in Preferences at a tolerance of 15 decimal places but arrived at 26 zeroes somehow and an answer of 976,918,336,957,018 for Divisor (just barely within range). I set the Horizontal and Vertical Axes per Min and Max equations over columns F and G, adjusting outwards a smidgin. This is the result for S_Count = 2, after also using Grabber instead of copy for app Preview where I save files as JPGs, and using Copy Picture instead of Copy and Paste to the Saves worksheet, The horizontal aspect was decreased from the chart version to the Pasted Picture version in the final Pasted Picture format. Can anyone figure out the volume of these spheroids? If so, please write an article with your methods and include it here in this article's Related wikiHows.
Spcl Design 11Q 2 Spheres  Same image with some vertical squeezing applied and Grabber used instead of Copy to Preview. Lower sphere improved a lot but top sphere only somewhat:
Spcl Design 11Q2 2 Spheres
Warnings
 ERRORS: If there are errors or error values, either the sheet in incomplete and needs further input or Lookup Tables for critical variables or perhaps there's a mistake somewhere along the line. If the instructions have been completed and there are still errors, select the cell that has the error value that is furthest left and topmost first. Look for a typo in a formula or unmatched parentheses. Possibly, a Defined Name is wrong  they need to be input into the formulas exactly as they were defined. Do Insert Name Define to check. If there is a #DIV/0! error, the example does not, so look for a variable that somehow did not get filled in with a value perhaps. At any rate, what to do is select the cell with the error, and after checking all those typical errors, do Tools Auditing Trace Precedents and/or Trace Error. If fixing all the topmost leftmost errors does not fix the rest of your errors on the worksheet, one may need to do it the hard way, from the bottom right upwards then leftwards; that is the slow but sure way to fix all errors.
 Also, errors in the chart data will most likely plot as zeroes. This may be acceptable or desirable even. However, if too many lines (or curves) are returning to 0, it may indicate a logical flaw in the data  or too many tiny values and then perhaps rescaling the chart is needed by inspecting the horizontal and vertical axes and changing them to zero in on the problem. Hover over or click on a data marker on the series plot and then do a search in the proper column by value for that value, and identify its precedents.
Related wikiHows
Sources and Citations
 "CRC Standard Curves and Surfaces", David von Seggern, 1993, CRC Press Inc., Boca Raton, FL.
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Date: 09.12.2018, 22:31 / Views: 95143