Enneagons and their stars

Sacred Geometry Foundation Constructing Regular Polygons
5 minutes
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Transcript

In this video I'm going to draw an any Agon sometimes called a nonagon. I like the term any gone because it's all Greek, whereas nonagon is sort of a hybrid of English and Greek. So either way, we're drawing a nine sided regular polygon. And this is impossible to do it exactly. So again, we have the situation a lot like the scepter gone, where approximations are the best we can hope for. And I'm going to show you the most accurate approximation that I've come across.

It comes from a book drawing geometry, which is in the bibliography. I'll start by drawing a vesicle piske is formed by drawing two circles. And then I'll put in the cross axis. Now, I'm going to label these points and then bisect the distance from A to B And again from b2c. This gives us some new points, which I'll label F and G. And then I'm going to play circles at F and G like that. So they're fitting within the vesica viscous form.

Now I'll draw a line segments radiating out of the top of the vesica. And connecting to these points. That creates some new points in here. H and I, which are significant. I'm going to draw a circle from D to H, and I like that. And that creates two new points J and K on that last circle.

And I'm going to draw circles from A to J, and C to k. Now I'm going to draw a three point circle connecting a j k. In this circle is actually the one that we're interested in. So I'm going to change its color to black. And this black circle is what I'm going to inscribe any Agon within. Now I'm going to erase the original vesicles circles because they're kind of in the way now. And I'll zoom in. And now I can label the top and then these two points, these are all edges of the Pentagon, we just need to find two edges near the bottom.

So I'm going to set the compass distance from A to M, and then put that point down below. Do the same thing on the right and then label these points. So now to show you how much error there is visually. I'm going to set the compass at that same distance this time mo And then as I draw it over here, you'll see that it misses point p, it looks like about the thickness of a point. So that's how inaccurate it is. So what I'm going to do is switch to my color palette and select read with a thick line wait.

And then I'll just start at the top and draw in any gone and then within that, I will draw the enneagram. And there are different versions available. I'm going to make the sharpest version. And you do that by starting at the top and then skipping three points and then continuing on clockwise, skipping three points and continuing on In that way, we have the enneagram. If you're interested, you can make the wider version of the star. I'll change the color and just make it a regular line Wait, and I'll start at the top.

And this time, I'm going to skip one point and this creates the wider version of the star. It kind of has a dynamic effect. You can also skip two points. But that results in an equal lateral triangle. We can add two additional equal lateral triangles and this will fill out the full complement of stars that are available. Within the Pentagon

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