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.

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.

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.

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.

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.

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.

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.

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.

This one shows another ring fairly close in, at approximately 21 ru.

This one uses an LCD with a range between 11 and 11.3 ru.

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.

An LCD of 14.6 ru gives us two narrow "V" type sprays that look visually symmetrical.