Surnames/tags:
100_circles connection_finder
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When we started exploring the 100 Circles: A Geometry of The Tree in November 2020, Olof Andersson (1793-1860) was one of the first focus profiles. I, Ekeblad-7 very soon got into the habit of marking the peak circle (mode of the distribution) in red. The distribution of profiles over his circles as queried 5 November 2020 looked like this:
Shape variation
Different focus profiles give different perspectives on how the population of the Connected Tree is distributed. The distribution curves are really VERY different, which shows the heterogeneous structure of the Tree.
The length of the right tail is always greater than the length of the left tail, which has led to further exploration of The Outer Rim of the Global Tree.There is obvious variation in the length of the left tail of the curve, while the main "hill" seems much the same at a first glance. Over time we have seen that there is quite some variation in the shape of the main hill, as well.
Cutting off tails
In order to be able to make a visual comparison of the "hills" of different focus profiles it is necessary to "cut off the tails". The yellow "cutpoints" will be different for different profiles.
The method for choosing cutpoints is the cheap method of looking at the distribution as a circle diagram and picking the first and the last circle the spreadsheet deigns to provide a percentage for. This turns out to quite reliably provide a "hill" containing slightly over 90% of the total population.
The queen and Olof
The hills of Queen Elizabeth II (portrayed in November 2022) and Olof Andersson (portrayed November 2020) look quite similar in shape: smooth, with a steeper incline on the left side and a shallower slope on the right. If Olof's diagram had been made with the same vertical maximum as the one of the queen, it's height would have been even more humble in the comparison. This difference is mainly due to the difference in time - the total connected population of the Tree has grown considerably in two years.
Hill shapes
The following diagrams have all been set to the same vertical maximum as used for Olof, 3,000,000. Keep in mind that they do not all start with the same circle. Left tails of varying length have been amputated. They are all recent samples from August to November 2022.
My own hill looks pretty standard, with a flat downslope. There is a little bit of concavity in the downslopes of Mary, Queen of Scots and LDS pioneer Brigham Young.
The hill of Emma (Davis) Schipp (1862-1949), with concave slopes on both sides, strongly suggests a bell shape - which is probably even more visible when you look at the version on the 100 Circles page, which includes more of the tails.
The hill of François du Toit (1664-1731), the profile currently exemplifying "the South African bump" in the left tail / inroad is also quite bell shaped, although so steep that the three peak circles are cut off by the fixed maximum for this comparison page. With a maximum of 4,000,000 the Du Toit hill looks like this:
We are also finding hills with a pronouncedly convex downslope, like the one for Patty (Luker) LaPlante, the currentl (Nov 2022) holder of the All-Time Most-Connected position:
And - with a far longer inroad - Chuck Berry, the Father of Rock and Roll.
The hill of Samuel Lothrop Esq (1622-1700) may be developing a convexity in the downslope.
This is more apparent when comparing the population change in the circles of Samuel Lothrop and Brigham Young.
