(And don't forget, a photo of how you get that up to the top of a Redwood. Thanks, Soose, for your comments. What does the math say. Have a frame and want to know how many feet of light strings you'll want to go around the perimeter or across the points? I'll include a link when it's up. Again, it's 15 ft up in the air for now. The star has five points. The largest I have ever made is on a 4.5" radius for a Captain America shield, but you can go as big or small as you need. Divide the height by 0.9511 and then divide that result by 2.618 to get the measurement along one Side of one StarPoint. Tagged under Fivepointed Star, Star, Blue, Curtain, Red, Aire, Symmetry. It is represented by the Schläfli symbol {5/2}. Reading this almost a year later, I probably made it overly complex to follow. But for your star or stars, you'll simply decide, based on your project, how big you need the star to be. In high-school and college, I still had a few of those skills, but at my present age, they are very rusty! For |n/d|, the inner vertices have an exterior angle, β, as 360°(d-1)/n. Note, this is for a Symmetrical Star -- all 5 points have the same angle, and all 10 outer sides along the perimeter are equal. It would be better to use 2-1/4 in. Have to wait to see if the math works. How many points in a star fit in a circle or two? Another way of saying this is that the Base is 30.9% of the size of any Side -- when it's a Symmetrical Star. They were designed/built by a late brother-in-law, using PVC plumbing fittings; and their geometry is not accurate, as such fittings cannot achieve that. How much rope light did I use going across from one point to the other? OG Geometry - Find the external angles of the 5 pointed star. What does the Math say? The center line you drew is step 1 is your zero-degree mark. Hi David, For this project we need a 54 degree angle. Thanks, Tip Ten times that number should be about ten feet for the perimeter, of course, almost a half inch over. Your tutorial pushed me forward to a more elegant design, a true pentagon. You can also massively cheat the whole process and download my finished star as a template and make it smaller or bigger to suit your need. Want to form a star of a particular height? Just go around the star on the outside, starting at any point and ending up back there. https://www.instructables.com/id/Intro-DIY-Lighted-Star-From-5-Coat-Hangers-a-Rope-, I started with the sides of the star, about 8 5/8" long. The one from last year is still in great shape, very sturdy with only box tape holding it. In the video, I explain an intuitive way to see the answer is 180 degrees. Using this, we obtain an angle sum of 90 degrees. Make 36 Degree Cuts The last step involves making 2 cuts on each star point that are exactly 36 degrees from the centerline. The five-pointed star can be found in many places, from the night sky in a child's drawing to representing ancient world religions. very helpful! If I choose to traverse the star by going from one point to another across the star to opposite points, how much wire would I need to complete the star? They might think a 145 degree angle makes a 5 pointed star, but they'll see that if they continue turning, the points don't quite match up. The GiMP graphics editor is free to download, and it can easily be used to create angled lines as described in the tutorial. Since each point of the star has a left and right piece as you look down on the point, the sled is set up to cut the 45 degree angles for a left piece and for a right piece. ", Length across to opposite point = 2.618 x 8.625" side. I guesstimated about a little under 2 feet tall. Plus, the metal house itself is on a pulley and string, so we just untie and lower it to attach both the light strings of the tree and last year we just attached the lightweight star with twist ties.
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