Chart 79D overall view

Another example of a close-in ring at an approximate distance of 16 ru. Careful inspection will also show elements of visual symmetry. Chart 79D expanded view


Chart 80A overall view

Another cleancut example using an LCD of 6 ru. We see two wings represented by #96 on one side, with #20 and #22 on the other side. Roughly, down the middle, we have a familiar narrow "V" type spray. Lastly, there is a huge triangle formed by #80, #20, and #9, with sides of 48, 47.1, and 78.2 ru--this gives a ratio of nearly 4:4:6. Chart 80A expanded view


Chart 80B overall view

This example is intended to show that seemingly obscure (and to some, perhaps, questionable) points can have an undreamt of symmetry regularity .First, we start with #76 as the LCD of 16 ru (or 2x8 ru). #20, another equally well-defined. point is precisely triple the distance at 48 ru (6x8). As we look about, we notice that #94 at 15.9 ru and #59 at 32.1 ru are appropriately positioned to be included in this pattern. Next, we note (with mild surprise) that the distance between #94 and #59 is 24.1 ru (3 x 8 = 24) . Our eyebrows might go up a little higher, when we see that the distance between #94 and #20 is 56.6 ru (7 x 8 = 56), and the distance between #59 and #20 is 40.3 ru (5 x 8 = 40) . Every point in this symmetry pattern can be factored by an LCD or quantum unit of about 8 ru. Chart 80B expanded view


Chart 80C overall view

Here we have a triangle with an LCD of 15.1 ru formed by #80, #68, and #26; the sides are 30.1, 30.7, and 45.3 ru, which gives an approximate ratio of 2:2:3. There is another triangle, but not quite as good, which is formed by #80, #68, and #4, with sides of 30.1, 44, and 60.5 ru to give an approximate ratio of 2:3:4. Chart  80C expanded view


Chart 80D overall view

With an LCD of 8.8 ru we get a triangle formed by #80, #86, and #41, with sides of 26.2 ru (3 X 8.8 = 26.4), 26.4 ru (3 x 8.8), and 43.4 ru (5 x 8.8 = 44), which gives a ratio of 3:3:5. In addition, we find an angle of 17.6 cu (2 x 8.8) between #86 and #41. Chart 80D expanded view


Chart 80E overall view

In this example, the four selected points are operating exactly on an LCD of 21 ru. It's quite a feat to be that accurate. As an added "morsel", we have an angle of 21.5 cu between #92 and #103. Chart 80E expanded view


Chart 80F overall view

In this chart we have three different groups that are not directly related. First, we have #51 at 28.3 ru doubling to 56.4 ru at #3. Second, we have #93 at 19.3 ru doubling to 38.3 ru at #90. Lastly, we have (in a precise cluster) #84 at 13.6 ru doubling to 27.2 ru at #87, and tripling to 40.7 ru at #65. The excellent definition of the center points for this last group makes it a first-class specimen. Chart 80F expanded view


Chart 81A overall view

This example is a scatter pattern with a fairly accurate LCD of 9.6 ru. Chart 81A expanded view


Chart 81B overall view

In this pattern, with an LCD of 6 ru, we find two narrow "V" type patterns that are both of the step type. The first one includes #76, #55, and #43; the second one includes #58, #39, #29, and #9.

We find an extremely accurate triangle formed by #81, #29, and #43 with sides of 47.9, 35.9, and 18.1 ru, which are in the virtually exact ratio of 8:6:3. Chart 81B expanded view


Chart 81C overall view

Here we have three points (#3, #12, and #90) at an approximate LCD of 11 ru. We also have #91 shown at one-half the distance of #90 at 16.7 ru. The dashed lines between the points represent distances approximately divisible by the LCD. Chart 81C expanded view


Chart 81D overall view

With an LCD of 10.2 ru, we find #78 at 20.5 ru as a good counterbalance against #103 at 20.2 ru. The angle between #78 and #37 is 40.4 cu. (4x10.2=40.8), which approximately matches the distance of 41.8 ru between #78 and #37. Chart 81D expanded view


Chart 81E overfall view

Just a little "tidbit" operating at an LCD of 13.6 ru. Chart 81E expanded view


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