Phi Explorations

[r6r6]

, I take note of the following triple 555's and no 55's { interesting? } ergo the first 555 and all other doubles and triples that occur before 555

..."Leonardo Fibonacci discovered the sequence which converges on phi. In the 1202 AD, Leonardo Fibonacci wrote in his book “Liber Abaci” of a simple numerical sequence that is the foundation for an incredible mathematical relationship behind phi"....

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377

Here as follows is my explorations into phi and my concern specifically is 55, the 11th number on fibonacci line if we start by including zero.

Here below I show the results of my investigations for 55 in the phi number line and what stood out to me is that, a double set of the digits 55 do no occur before we get to a triple set of 555

However, I counted the number of #5 digits before 555 and found there were 54 such #5's. So that is one short of 55 #5's. H,mmm?

11 = 10 of them ---two triple 111's and that is 2nd only to triple 2's---

22 = 10 of them --three triple 2's { we have a winner $$$ }-- the only prime, even number of Universe, is #2

44 = 10 of them -- one triple 4's--

88 = 9 of them ---zero triple 8's

00 = 8 of them --one triple 0's--

33 = 8 of them ---one triple 3's---

66 = 8 of them -- one triple 6's---

77 = 7 of them --how appropriate eh?---- one triple 7's--

99 = 6 of them and --how inappropriate, upside down 6 and 9--- zero triple 9's


1.6180 33 9 88 749894848204586834365638 11 77 20309179805762862135 44 86 22 705260462818902 44 970720720418939 11 374847540 88 07538689175212 66 33 86 222 353693179318 00 607 66 72635 44 333 890865959395829056383 22 66 131 99 28290267 88 06752087 66 8925017 11 69620703 222 104321626954862629631361 44 38149758701 22 0340805 88 795 44 5474924618569536486 444 92410 44 320 77 13 44 9470495658467 88 509874 33 9 44 22 125 44 8 77 0 66 4780915 88 46074 99 88 7124 00 76521705751797 88 341 66 256249407589069704 000 281210427621 77 111 777 805315317141011704 666 5 99 14 66 9798731761356 00 67087480710131795236894275219484353056783 00 22 87856 99 7829 77 8347845878 22 89 11 097625 00 30269615617 00 250464 33 8243 77 648610283831268 33 03724292675263 11 65 33 92473167 111 2 11 5 88 1863851 33 1620384 00 5 222 16579128 66 752946549068 11 31715 99 343235973494985090409476213 222 981017261070596 11 64562 99 09816290 5552085247