Septagon and septagram approximation

Sacred Geometry Foundation Constructing Regular Polygons
5 minutes
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Transcript

In this video I'll show you how to construct an approximation of a seven sided regular polygon, sometimes called a hexagon or SEPTA gone according to the Greek or Latin prefixes. I prefer the Latin prefix cept. Not only because it reminds me of the cept in the game of thrones, but also because it's easy to remember with September, or October, November, December. These are all Latin prefixes, meaning 789 and 10. Of course, these were shifted two months out of whack, because of Julius and Augustus Caesar inserting July and August into the calendar. And the advantage of this method is that it can be constructed within the vesica viscous form.

So I'm going to draw in two equal sized circles. Make a perpendicular line on the left and the right there so that they go through the center Have the circles and then make another perpendicular, going the other way at the bottom forming a square. And now I want to draw diagonal lines across here in order to locate this center point from which I will draw a circle and I'll snap that perpendicular to the edge. So now we have a smaller circle inside the square and this is the circle in which we will inscribe the sceptic on. For clarity, I'm going to change the color of that circle to black. And I'd also like to de emphasize some of these other elements that were just getting us to this point that we are now.

Now let's zoom in on that circle. Okay, now I need A couple of other lines, namely from the top left corner of the square down to this point where the two circles of the vesicle discus intersect, and then a symmetrical line back up to the other side like that. This gives us points that we need, which I'll label. I'll label the top of the circle as a, and then we have B, and C here for these diagonals that go down to the vesicle viscous circles. So now we actually have enough to construct a Decepticon Believe it or not. All we have to do is carry these around.

So I'll use this tool in the app and I'll drag from A to B. If you're doing this by hand, you would open your compass from A to B. And then you would put the point of the compass at B and then swing this around and Mark circle where it crosses and then repeat the process. I'll go and carry that around this point. And I'll just label these points as well. D and E. And then I could continue this around, I'll show you what happens.

I'll go from D to E, and then he over Be careful not to snap to those large circles. And then continue around. And this last line is going to show us how much error we have. So I'm going to zoom in there. And as I draw this out, you'll see that it's not quite on that point. It's very, very close, but it's not exact.

So because of that, I'm going to back up and I want to spread the error out, not right there. I'm going to back up a couple of steps. Instead of leaving it up there at point C, what I'm going to do is measure from A to C and then carry this around on the right side of the circle. And in this way, I can get the error to all be down here on the bottom segment. And I can just draw in a segment manually down there. And the advantage of this method is that this segment remains horizontal.

Although it's not exactly the right size. It's very, very close. Now, I'm going to color these segments in in a thick, dark blue line. I'll just draw in the scepter gone. And finally, I'd like to draw in a scepter Graham inside of that That can be done. Let me just continue labeling this.

That can be done by drawing in lines connecting E and A and then A and G and then G and B, B and F, F and D TNC. And finally C and E

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