I liked your rigorous geometry effort for instructing other users on star geometry; and it made me recall Sine and Cosine functions. on Introduction. Find the angles of a five angled star Get the answers you need, now! When you build things a lot, you tend to take for granted the things you have picked up over the years. Branko Grünbaum in Tilings and Patterns represents these stars as |n/d| that match the geometry of polygram {n/d} with a notation {n α} more generally, representing an n-sided star with each internal angle α<180°(1-2/n) degrees. (The red line in the drawings.). In fact, this simple figure is quite amazing. It's just the right size for our outside lighted "tree. The star's point-to-point distance calculates, for this example, close to 36 inches. Because the "Inner Chord" (see drawing) is just two Bases added together, the length of the Inner Cord will be (2 x 0.309 ) = ( 0.618) times the measurement of any one of the Sides of a star's point. Step 3. After initial assembly, aligning star points is difficult, as every tube moves! It is a 9/4 wound star polyhedron, but the vertices are not equally spaced. Drawing a 5-Pointed Star 1 Draw an upside down "V. " Begin at the lower left side of your drawing, come up to a point and bring your pencil down and to the right. If you bisect the angle in any point (split it in half), each angle is 18 degrees. Plus whatever overlap or losses I'd have in real life, of course. For my 30" high star, one side will be 30" divided by those 2 numbers... or 12.0483 inches, just barely over 12 inches. If a 5-point star sits inside a circle, that means each point is 360/5 = 72 degrees away from its neighbors. I fell back on the "calculator" as it was easier on my head, shameful for a retired engineer!I've completed the basic PVC star, consisting of 5 X 5' of PVC tubing and 10X 10-24 X 2-1/2 screws with nuts. Using this, we obtain an angle sum of 90 degrees. :-), Reply If you know the measurement along one side of a star point -- for instance, the distance between A and B in the drawing, then the following calculations are possible. Did you make this project? Or given one of the other dimensions, you can calculate the side. You may think it has something to do with witchcraft, but in fact it is more famous as a magical symbol and is also a holy symbol in many religions.. We're not trying to teach math in this Instructable, imo-- we're trying to build a lighted star! If the Side of the star were 100 miles long, the Base would be 30.9 miles long. Have you thought of making a star out of the actual hurricane strips? (You can see we didn't just go around the perimeter, which gave it more strength. (That was determined by the size of my coat hangers that I built the frame with before laying rope light over it. I need to figure out the measurement of one Side of a "StarPoint" then I know I'll need TEN of those to complete the perimeter. Want to form a star of a particular height? 90-54 = 36. I mark the central point and draw a relatively big circle of an arbitrary radius, using the compass. While the point of your paper is pointing toward you, position your scissors about halfway up the right edge of the paper. Trying to make a 3D five pointed wood star and having a tough time figuring out all the compound angles. It is represented by the Schläfli symbol {5/2}. 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. Steel "earthquake" straps, 48" long with holes every inch, solve this problem: The five bolt ends fit nicely into the strap holes 36" apart. (Remember the sides are all the same measurements for any particular Symmetrical Star.). 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. Points on Star Turning Angle Total Degrees Turned 5 144 on Introduction, Use the following site for easy calculations for the dimensions of a 5-sided star:https://rechneronline.de/pi/pentagon.php, Reply Yes, this is about the geometric construction of stars. Glad I took a second look on the desktop. :) I like your PVC frame, too. Ken. I had an 18 ft rope light. Since 1/5 * 360° = 72°, this is a 72° angle rotation. In general for n points, we can divide a circle into n equal arc sections. Your tutorial pushed me forward to a more elegant design, a true pentagon. N'T forget, a photo of how you get that up to the little calculator the assembled tube! Pointing toward you, position your scissors about halfway up the middle of the star will be the for. Hash mark at 72 degrees, and as a template it will 0.9511! 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