¶ Bow Ties
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Index Entry
Bow Ties:
“Now we come to a very interesting discovery and that is that we can take a disc of paper at 360 degrees and we can do the trigonometry of the 31 great circles and the 25 great circles, the way they interfere with one another, and we will find that they are all omnitriangulated and we find what the spherical arcs are between them. Remember that spherical arc always subtends a central angle. We know what the central angles are and so therefore we can lay this out and we find that it is possible to take whole triangles and fold them in such a way that they form sort of bow knot things-- they are folded and make kind of conic things. The cones come together and fasten edge-to-edge with no duplication. And they form the same great circles. This is an important phenomenon because it is a basic characteristic of wave phenomena that really acts like a propeller blade. That is, all waves always come back upon themselves. We have then a perfect wave control by dealing in 360 degrees-- and it comes back on itself, yet we have precessional interferences with itself where it makes itself into little local bow ties-- actually folded up like a great circle.”
¶ Citations
- Oregon Lecture #7., p. 268. 11 Jul’62
