Chart 76D overall view

The +X axis is defined by #92 and the -X axis is near #77 while the +Y . axis is defined by #45. With an LCD of: 10.6 to 10.7 ru, we find that #32 and #6 are generally symmetrical about the; +Y axis, while #89 (or #72) and #96 'are symmetrical about the +X axis. Chart 76D expanded view

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Chart 76E overall view

This is a peachy-keen example that looks like a partial retake of Chart #76 B. except that now we use an LCD 13 ru We have four points again, but now there are distances of 25.8, 25.8, 26.1, and 26.1 ru The rays of #47, #60, and #98 (a supposedly obscure point) are relatively symmetrically spaced with regard to each other, while #40 is more asymmetric in position. This is similar to the pattern in Chart #76 B. The asymmetric point #40 is bracketed on both sides by a spray of rays-again, the same as in Chart #76B. Chart 76E expanded view

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Chart 76F overall view

This one was drawn with an LCD of 6 ru. The distance between #20 and #12 is 41.8 ru {7x6=42) so that the triangle formed by #20, #12, and #76 has sides in the ratio of 6:7:8. The triangle inside this triangle formed by #20, #38, and #76 has sides in the ratio of 5:6:6. Chart 76F expanded view

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Chart 76G overall view

The -X axis lies along the ray to #51, the + X axis is near the ray to #82, and the + Y axis lies along the ray to #59. An LCD of 10.2 ru is used, except for two points at 15.1 ru and 15.8 ru.

We start along the X axis and find that #51 (15.1 ru) is opposite #82 (15.8 ru). Likewise, #22 (30.7 ru) is balanced by #103 at (31.1 ru), while the rays for both points are tilted symmetrically about the same angle above the X axis.

Now we see #85 at 10.2 ru doubling to 20.4 ru at #94, and tripling to 30.7 ru at #22. All these points lie near the X axis. Next, near the Y axis, we see that #61 is 40.4 ru (4X10.2=40.8).

Now let's come to grips with the unusual feature of this "beast". The distance between #22 and #61 is 50 ru, so a triangle is formed by #76,#61, and #22 with sides of 30.7, 40.4, and 50 ru, which is close to a Pythagorean 3:4:5 triangle. Continuing, we see that #59 at 19.6 ru is a little less than half the distance to #61; likewise, #51 at 15.1 ru is also a little less than half the distance to #22. We note that the ray to #59 is tilted slightly to the left of the ray to #61, and the ray to #51 is also tilted slightly left of the ray to #22. The great circle distance between #51 and #59 is 25.5 ru. This gives a second triangle formed by #76, #51, and #59 with sides of 15.1, 19.6, and 25.5 ru, which is close to a ratio of 3:4:5.

Finally, the triangle formed by #76,#61, and #103 has sides of length 31.1, 40.4, and 41.1 ru, which gives a ratio of 3:4:4 approximately. Chart 76G expanded view

260


Chart 78A overall view

All the points on this chart were exposed with an LCD of 7 ru. First, we have what looks like two wings or boundaries extablished by #4 and #99. Next, we see two separate narrow "V" type sprays. The spray formed by #76, #75, #71, and #67 represent a continuous step pattern, with the angular difference between the rays for each step approximately equal. And the spray formed by #45,#42,#37,#12, and #9 shows rays that increase in a staggered pattern with increasing distance from #78. Chart 78A expanded view

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Chart 78B overall view

Two separate systems are shown on this chart: first, #49 and #24 have an approximate LCD of 10.7 ru; second, there are three points (#46, #18, and #7) that are in a nearly straight line with an LCD of 18.1 ru. Chart 78B expanded view

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Chart 78C overall view

This chart has an LCD of 14.1 ru, with a ring of four at approximately 28 ru. Note the symmetry of the angular spacing. Also note carefully, the extreme accuracy of #45 at 28.2 ru doubling to exactly 56.4 ru at #12--both well defined and in a nearly straight line. Chart 78C expanded view

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Chart 78D overall view

This is simple one with an LCD of 25.8 ru (or 12.9 ru) in which we have a step pattern right down the middle between two wings at the outer boundaries. Chart 79D expanded view

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Chart 78E overall view

This one shows another ring fairly close in, at approximately 21 ru. Chart 78E expanded view

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Chart 79A overall view

This one uses an LCD with a range between 11 and 11.3 ru. Chart 79A expanded view

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Chart 79B overall view

This is a particularly interesting example. There are four separate triangles with the length of all the sides of all the triangles at some multiple of 12 ru. The triangle formed by #79, #63, and #18 has sides of 47.7, 48.1, and 36.3 ru, which . gives a ratio of 4:4:3. The triangle formed by #79, #63, and #5 has sides of 47.7, 47.2, and 60 ru, which gives a ratio of 4:4:5. The triangle formed by #79, #63, and #24 has sides of 47.7, 47.6, and 35.9 ru, which gives a ratio of 4:4:3. The triangle formed by the dashed lines between the points of #63, #5, and #24 has , sides of 47.7. 47.2 and 24.1 ru, which gives a ratio of 4:4:2. Chart 79B expanded view

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Chart 79C overall view

An LCD of 14.6 ru gives us two narrow "V" type sprays that look visually symmetrical. Chart 79C expanded view

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