In my last post “the Bikau Origami” I presented a way to fold moving molecules so that they folding pattern forms a segment of a quasi-planar circular arc. The radius of this arc is defined by the locations of three neighboring molecules that form two bikau quadrilaterals that are mirror images of each other.
However, to form more complex shapes, the folding must be more complex as well. Today I present a way that these circular arcs can be folded to make the basic shape of the saint Hannes knot, but first without the knot. The principle is actually very simple and can be presented as steps.
1. The circular arc can be reduced to a sharp isosceles triangle. The sharp tip of which is at the center of a sphere and the other tips are on its surface.
2. You then draw the basic shape of the saint Hannes knot (with the second radius being zero) onto the sphere.
3. Then you arrange two of the isosceles triangles along the saint Hannes knot into a skew kite (note the two links).
And here is the basic principle illustrated:
But unfortunately, this isn’t the end of the story. Now I have a means to explain the more or less spherical orbital of molecules just as long as I don’t have to explain what causes these reflections. In the process of building this model, I have ditched the elements that actually caused reflections in the old model.
So, the above model is surely wrong but hopefully still quite helpful. At least now I have something to test my theory against.
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