how to easily calculate octagon layout
Hi,
I need to layout an octagon for a birdhouse, with the sides being 17″ wide and 29″ tall. I have a mac and I can’t find any software out there to help me with this problem.
Does anyone know an easy way to layout an octagon. I’m not that great with math, so it really does need to be pretty simple. Thanks in advance for any help or advice that any of you can offer.
Replies
Maybe the link below will help.
http://www.rockler.com/articles/display_article.cfm?story_id=98
Life is what happens to you when you're making other plans.
When your ship comes in... make sure you are not at the airport.
Awesome, this calculator works wonders. It's almost too easy.thanks ... from Mainerustic
To calculate the angles of any shape with sides the same length and equal angles you can use the following equation
2n -4 right angles
where n is the number of sides
so for an octagon
2x8=16
16-4=12
12 right angles =12x90
=1080
1080 divided by 8(number of sides)
=135 degrees for each angle
Further example
eg equilateral triangle (three equal sides in length and three equal angles
2n-4 right angles
2x3 =6
6- 4 right angles
= 2 right angles
2x 90 =180 degrees
180 degrees divided by three (number of sides in a triangle) =
60 degrees for each angle
This formula will work for any shape with sides of equal length and equal angles
regards Charnwood
I am not sure I follow your dimensions, or what the 17" represents, but here is a simple way to mark and octagon while you make the parts.
First cut two squares 17 x 17 if that is what the width should start as. Then find the center of each panel by carefully measuring in 8.5 from the middle of each side, or marking diagonally from corner to corner, then drill a small hole in both.
Now lay one on top of the other, using a nail of the same diameter as the drill to pin them together. When you shift one 45ยบ, each will be the template to mark the other.
Nice trick!
Pete
Yea, It is hard to beat the simplicity of that, since you would need to cut the squares first anyway. I used this recently when I made an octagonal chest with 11 tiers, and 88 drawers. My customer gave me the dimensions, and I remember being where Mainrustic is now. I was out in the shop wanting to get a feel for size, and to think about construction techniques. I cut a couple of scrap 1/4 mdf squares, and was trying to remember a geometric formula, when this just dawned on me. thanks k
Seems so simple when you've got it. I think I might have a file on it in the mess in the back of my head. I frequently have the feeling there's an easy, simple, obvious solution I'm missing or forgetting. Great when I come up with it in time. Not as good when it's too late, but I'll remember it better.
Hi Keith,
First cut two squares 17 x 17 if that is what the width should start as.
Most important step, the square has to be nuts on, eh?
Regards,Bob @ Kidderville Acres
A Woodworkers mind should be the sharpest tool in the shop!
I think pencil, ruler, protractor/compass would have to be just as accurate. And requiring more measurements, more difficult. I thought getting things dead on was the point. I can always use the practice.
That helps, but the Martins have already started arriving in AR, so Mr Mainrustic needs to just knock it out as quickly as he can, if he wants to have residences this year. I am not sure there will be enough tim for the paint to dry. For this kind of project, 1/8" caulk might be good enough. As for an unanswered part of his question. I think Sketch-up for Mac has the program for this.
Keith,
I am not sure there will be enough tim for the paint to dry.
Make 'em outa white oak and paint 'em this fall. :-)
Regards,
Bob @ Kidderville Acres
A Woodworkers mind should be the sharpest tool in the shop!
This depends on the accuracy you want. I'm assuming you want to cut a top and bottom plate that have 8 equal sides at 17" for each side length. Material thickness must be taken into account to get 17" as an outside dimension.
To hit 17" exactly requires accuracy greater than 1/128".
So to be practical — and assuming the birds won't know the difference:
Draw a circle with a radius of 17-15/32" set on a beam compass.
Set the compass to 17-1/64". Beginning anywhere on the circle, mark any spot on the circumference. Using the compass make marks along the circle 17-1/64" from the previous mark. Connect these tick marks along the circle and you have an octagon with sides approx. 17" long.
Greg
•••••••
Exo 35:30-35
If you'd rather accomplish it using squares and a 45ยฐ triangle, let me know.
Greg
•••••••
Exo 35:30-35
Good suggestion, I'll try that, but now you've got me curious, how could it be done
with a try square?Thanks again
Good suggestion, I'll try that, but now you've got me curious, how could it be done
with a try square?Thanks again
Draw a straight line 17" long. The included angle at the points in an octagon is 135ยฐ. Notice that 180ยฐ - 45ยฐ = 135ยฐ.So use your 45ยฐ triangle to strike a 17" long line at the end of the first baseline offset by 45ยฐ. Using this line as the new baseline, strike another 17" long line at a 45ยฐ offset at the endpoint of the last 17" line.Continue doing so until you get the octagon completed. If I'd have thought through the process of doing this, I would have recommended this method over the one with the compass. But the one with the compass involves much less measuring. OR: Combine the two. Every time I mention to measure 17", use a compass set to 17" and strike an arc to intersect each 45ยฐ line. That intersection point is the reference for the next 45ยฐ line.Greg••••••• Exo 35:30-35
Edited 3/28/2009 3:04 pm by Cincinnati
Awesome! This really does work and it's very easy to do.Thank you all for your suggestions...
View Image
Here's another graphic.
Neat graphic! How ya do dat?
Animated GIF..
I would draw the octagon in SketchUp and then get the side lengths with the tape tool and angles les with the compass tool.
Robert
octagons
A real good link is on Goole.ca or .com Just type in "octagon layout calculator" type in the fetet and the rst will come up automatically. I have used it many times to make coffee (drink) tables for the back yard. the corners cut off get glued and screwed to the under side if the table 3/4 spacing to hold the legs
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