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Miter angle settings for a five point star.

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Forum topic by devann posted 04-22-2016 03:19 PM 642 views 0 times favorited 3 replies Add to Favorites Watch
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devann

2200 posts in 2151 days


04-22-2016 03:19 PM

Topic tags/keywords: joining

I saw a project posted that had multiple miter angles. There were LJs asking about what the angle settings were. To answer their questions I’m posting here.

Angles for any shape. Divide number of desired sides into 360. Divide the answer of that equation by 2. That is the setting number of degrees of miter to cut. This method does not apply to equally to trapezoids.

For five point star because there are 20 cuts, the miter angles are 72° & 36° at the ends of each piece. These are the angles from alternating sides of the piece cut.
360° ÷ 5 = 72° ÷ 2 = 36°
It takes 10 equal pieces to make a 5 point star.

For a pentagon it takes 5 pieces to form the shape. Take the 72° angle and divide in half equaling 36°. Because there are only 5 pieces, 10 cuts to make a pentagon. The 36° angle is applied from the same side of the piece.

Hope this makes sense to those interested.

-- Darrell, making more sawdust than I know what to do with


3 replies so far

View Cooler's profile

Cooler

268 posts in 302 days


#1 posted 04-22-2016 03:37 PM

The angles can change depending upon how small the center hub is and how long the points are.

This video will show you how to construct a 5 point and a 10 point star using a compass. After you have drawn it you can measure the angles

https://www.youtube.com/watch?v=8wpr07GYXls

-- This post is a hand-crafted natural product. Slight variations in spelling and grammar should not be viewed as flaws or defects, but rather as an integral characteristic of the creative process.

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Jim Finn

2408 posts in 2381 days


#2 posted 04-22-2016 10:50 PM

From a woodworker that makes about thirty-five 18” and 28” stars a year. This information gets you into the ball park but trial and error is how the final adjustments to the final angles are found.

-- "You may have your PHD but I have my GED and my DD 214"

View jerryminer's profile

jerryminer

528 posts in 901 days


#3 posted 04-23-2016 09:54 PM


For five point star … the miter angles are 72° & 36° at the ends of each piece. – devann


The angles can change depending upon how small the center hub is and how long the points are. – Cooler

Cooler is right. While a five-point star CAN be made with the angles devann suggests, they are not the ONLY angles that will work. The two stars in this pic do not have the same angles, even though they are both regular, equal-sided stars.

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