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I need some math help here! A pattern design change.


OCtoolguy

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As most of you have seen my "votive candle holders" I'm sure you are familiar with them. I have made 3 now and I want to expand on the pattern. The original pattern calls for 8 side panels in a circle diameter of 4 5/16" inch. The actual location of the side panels is set in about 1/8" from the exterior diameter. So, here is my question......I want to make the exact same pattern but expand the diameter out to 11" or so. Somewhere between 10" and 12". Whatever works out the best. I want to retain the same dimensions of the side panels and just increase the number of them. They are 1 1/2" wide with about 1/8" between them at the nearest point near the top. I need help to figure out how many will fit in that diameter, whatever it turns out to be. I would assume that after drawing a circle I would determine how many degrees the segments are in my original and then divide that figure into my larger diameter. If someone can come up with a formula for me, it would be great. I'm attaching a drawing or two so you can see what I have now to clarify what I want. Thanks to all.

 

20190110_160425.jpg

Red votive holder patterns.jpg

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The present positions of the notches for the panels are equal distant around the circumference, that distance is the 1/2 the radius ( radius is 1/2 of the diameter)

Use a compass, draw the 10 inch circle, radius in this case would be 5

You want 10 panels around

r * 2 * 3.14 /10
5 * 2 * 3.14  = 31.4 / 10 = 3.14

use 3.14 inches as the distance for the compass legs, start in one spot and arc the circumference working your way around

I would use metric for the last part, 3.14 inches is 76.2 mm, or if want 3.14" is 3 3/16 plus some

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went outside, listened to the light rain on the tin roof, had cigarette and thought about it, easier way to do it

draw the 10" circle with a compass

draw the diameter from one point on the circle through the center to the opposite side

get a protractor.  , mark off the 36 degree mark, draw another diameter line using that mark and the center,

rinse and repeat

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2 hours ago, JimErn said:

The present positions of the notches for the panels are equal distant around the circumference, that distance is the 1/2 the radius ( radius is 1/2 of the diameter)

Use a compass, draw the 10 inch circle, radius in this case would be 5

You want 10 panels around

r * 2 * 3.14 /10
5 * 2 * 3.14  = 31.4 / 10 = 3.14

use 3.14 inches as the distance for the compass legs, start in one spot and arc the circumference working your way around

I would use metric for the last part, 3.14 inches is 76.2 mm, or if want 3.14" is 3 3/16 plus some

Is your method keeping the side panels the same size as all the others I have made? I don't want to alter that dimension. I am thinking that I might have to make my circumference an odd number in that respect. I'm going to cut some pieces of paper to represent the side panels and create a circle of them and then measure the diameter. I can't chamge the size of them but I can change the diameter to accommodate whatever number of panels as whole units. I'm thinking somewhere around 16-20.

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4 hours ago, JimErn said:

went outside, listened to the light rain on the tin roof, had cigarette and thought about it, easier way to do it

draw the 10" circle with a compass

draw the diameter from one point on the circle through the center to the opposite side

get a protractor.  , mark off the 36 degree mark, draw another diameter line using that mark and the center,

rinse and repeat

Ok Jim, since you seem to be the only person here with any math skills, here is what I came up with. I took the width of one panel at 1.5 inches, added 1/8 inch to it to come up with 1.625". I randomly took 20 as a starting point and that came out to 32.5 inches. I asked google what diameter circle would accommodate a circumference of 32.5 inches and it came up with 10.35". So, I guess that will be what I work with. I can't go any larger or I come up with an odd number. Thanks for your help. I think I have it now.

 

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21 hours ago, Rockytime said:

I would like to  help  I only have 10 fingers and 10 toes. And i wear socks so that makes it even more difficult. 

Les,

I tried that method and had three neighbors in the driveway with their shoes off and still couldn't figure it out. 🤣

But, it looks like @JimErndid the heavy lifting.

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I passed Geometry class in the last century, and I firmly believe I only passed it because my teacher didn't want to deal with me again the following year.  :)  I'm more of a visual kind of guy, so I'd draw a circle the size I wanted, print off a bunch of patterns and start laying them around to see how many fit around the circle.  If the patterns overlap, make the circle bigger.  If there's space left over, you can either widen the gap between sides, shrink the circle down, or make the circle bigger and add another side.

 

Just reading Jim's maths made my head hurt.  :)

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4 minutes ago, RabidAlien said:

I passed Geometry class in the last century, and I firmly believe I only passed it because my teacher didn't want to deal with me again the following year.  :)  I'm more of a visual kind of guy, so I'd draw a circle the size I wanted, print off a bunch of patterns and start laying them around to see how many fit around the circle.  If the patterns overlap, make the circle bigger.  If there's space left over, you can either widen the gap between sides, shrink the circle down, or make the circle bigger and add another side.

 

Just reading Jim's maths made my head hurt.  :)

Thanks, that was how I was going to do it until I got the brainstorm posted above. I found by googling the info I needed to come up with the circle size. It all depends now on how many panels I want to cut. If I stay with 10.35" I only have to cut 20. It appears to me that each panel I add increases the diameter about a half inch. Give or take. And those panels take me about an hour apiece to cut. Compound 3D cuts.

 

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17 hours ago, teachnlearn said:

Experiment with some cardboard. Then you have a good idea, of what works without cutting all the wood and finding it doesn't work. RJF

Thanks. I had intended to do something like that but I needed a starting point. I think what I came up with will work. I just wish I knew enough Inkscape to create my own patterns. I messed around with my printer yesterday and came up with a magnification of 218% to copy/print the original patterns. Everything except the 20 side panels. I'm anxious to start on it but I will have to glue up some wood to get pieces large enough. Thanks for all the advice.

 

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