Fibonacci Numbers One and Two
Leonardo Fibonacci introduced the Arabic numerals to Europe. The numerical sequence that bears his name begins 0–1–2–3–5–8 … and is linked to the golden ratio, the proportion 1.618.
0 - 1 - 2 - 3 - 5 - 8 - 13 - 21 - 34 - 55 - 89 - 144 ....
8/5 = 1.600 => 144/89 = 1.618
The Fibonacci sequence has never truly revealed its meaning to researchers. These are not “units” in the sense we normally understand them. Instead, the Fibonacci sequence indicates the position of a phenomenon. For example, in an athletic performance such as a running event, the shortest meaningful distance is the 100‑metre sprint. The next distance representing the same event is 200 metres. Hence the sequence begins 0–1–2.
0 : Runner waits for the start command, nothing happens.
1 : Runner passes the 100 m distance. Men's ME is 9.58 seconds.
2 : Runner continues running, passing another 100 m distance = 200 m, ME is 19.19 seconds.
1 +1 = 2 => 9,58 s x 2 = 19,16 sec
 The 200m ME time of 19.16 s is not Fibonacci number 1 because 2 x 19.16 s = 38.32 s, and it is not even close to the 400m ME time.
A runner in position 0 is waiting for the starting command. The starting blocks shorten the time, so the first 100 metres are faster.
Without starting blocks, a runner spends roughly the same amount of time on each 100‑metre segment. The starting blocks make the first hundred metres exceptional.
Whether a performance belongs to the relational‑calculation set depends on the men’s world‑record time. The women’s world‑record times are also included in the analysis. In the illustration, we see the woman in the upper right corner, keeping the examination of physical performance separate from the men’s results.
In relational calculation, the number one represents the smallest complete entity. The arithmetical number one is something tangible, something one can touch, like an apple. The number one in the Fibonacci sequence is something intangible—something one cannot touch, yet can understand. Relational calculation continues from the point where arithmetic ends.
8.4.2015*09:10 (1039 - 501)
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