Fibonacci numbers

"Variations of two earlier meters [is the variation] of a mātrā-vṛtta. For example, for [a meter of] three [morae], variations of two earlier meters, one and two, being mixed three happens. For [a meter] of four [morae], variations of meters of two morae [and] of three morae being mixed, five happens. For [a meter] of five [morae] variations of two earlier [meters] of three morae [and] of four morae. being mixed, eight is obtained. In this way, for [a meter] of six morae, [variations] of four morae [and] of five morae being mixed, thirteen happens. And like that, variations of two earlier meters being mixed, [variations of a meter] of seven morae [is] twenty-one. In this way, the process should be followed in all mātrā-vṛttas."

"The sum of the last and the one before the last is the number ... of the next mātrā-vṛtta."

"1, 2, 3, 5, 8, who do we decapitate? 13, 21, rinse, repeat, regret more fun 34, 55, shiny girls, collapse the hive 89, 144, Vermin, honey, we want more"

"Now everybody hop on the one, the sounds of the two It's the third eye vision, five-side dimension The eighth light, is gonna shine bright tonight"

"1, 1, 2, 3, 5, 8, 13, 21 Mathematics is the language of nature"

"It ["Lateralus"] was originally titled 9-8-7. For the time signatures. Then it turned out that 987 was the 17th step of the Fibonacci sequence (in which each integer is equal to the sum of the preceding two). So that was cool."

"Qvidam posuit unum par cuniculorum in quodam loco, qui erat undique pariete circundatus, ut sciret, quot ex eo paria germinarentur in uno anno: cum natura eorum sit per singulum mensem aliud par germinare; et in secundo mense ab eorum natiuitate germinant. Quia suprascriptum par in primo mense germinat, duplicabis ipsum, erunt paria duo in uno mense. Ex quibus unum, scilicet primum, in secundo mense geminat; et sic sunt in secundo mense paria 3 ; ex quibus in uno mense duo pregnantur; et geminantur in tercio mense paria 2 coniculorum ; et sic sunt paria 5 in ipso mense; ex quibus in ipso pregnantur paria 3; et sunt in quarto mense paria 8; ex quibus paria 5 geminant alia paria 5: quibus additis cum parijs 8, faciunt paria 13 in quinto mense; ex quibus paria 5, que geminata fuerunt in ipso mense, non concipiunt in ipso mense, sed alia 8 paria pregnantur; et sic sunt in sexto mense paria 21; cum quibus additis parijs 13, que geminantur in septimo , erunt in ipso paria 34 ; cum quibus additis parijs 21, que geminantur in octauo mense, erunt in ipso paria 55; cum quibus additis parjis 34, que geminantur in nono mense, erunt in ipso paria 89; cum quibus additis rursum parijs 55, que geminantur in decimo mense 144; cum quibus additis rursum parijs 89, que geminantur in undecimo mense, erunt in ipso paria 233. Cum quibus etiam additis parijs 144 , que geminantur in ultimo mense, erunt paria 377; et tot paria peperit suprascriptum par in prefato loco in capite unius anni. Potes enim uidere in hac margine, qualiter hoc operati fuimus, scilicet quod iunximus primum numerum cum secundo, uidelicet 1 cum 2; et secundum cum tercio; et tercium cum quarto; et quartum cum quinto, et sic deinceps, donec iunximus decimum cum undecimo, uidelicet 144 cum 233; et habuimus suprascriptorum cuniculorum summam, uidelicet 377 ; et sic posses facere per ordinem de infinitis numeris mensibus."

"First person: He started with one, and adding one to itself, got two. Second person: Yeah, that sounds pretty simple. First person: Ah, but then he had one next to one next to two, so he said to himself, "I'll take the last two numbers in the list, add one next to the two"— Second person: The one next to the two. First person: —and that'll give him three. Second person: Oh. First person: And then the three next to the two would give him five— Second person: Five, yeah. First person: —the five next to the three would give him eight— Second person: Eight. First person: —and he kept playing with the numbers. Thirteen, twenty-one, thirty-four, fifty-five, eighty-nine— Second person: [laughs] Sounds like a waste of time. First person: Well, that's what I thought, y'know, that he didn't have anything better to do. But it turns out that the curiosity that had him playing with this kind of "adding up of numbers"—what's now remembered as the Fibonacci numbers—turns out to have a curious and very surprising relationship to botany and classical art. Second person: How so? First person: I don't lie, but there seems to be examples of Fibonacci numbers all over the place in nature."

"Make me, one, copy and paste Make me, one, copy and paste Make me, two, copy and paste Make me, Fibonacci Make me, three, copy and paste Make me, five, copy and paste Make me, eight, copy and paste Make me, Fibonacci"

"Black Then White are All I see In my infancy Red and yellow then came to be Reaching out to me Lets me seeThere is So Much More and Beckons me To look through to these Infinite possibilities As below, so above and beyond, I imagine Drawn outside the lines of reason Push the envelope Watch it bend"

"The title track "Lateralus" makes use of the "Fibonacci sequence". The Fibonacci numbers go 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... and when plotted as squares, a "golden spiral" can be drawn. Fibonacci numbers are prevalent in nature: in pine cones, arrangement of leaves, the centre of a sunflower, and so on. The number of syllables in each line in "Lateralus" are all Fibonacci numbers. "Black (1) Then (1) White are (2) All I see (3) In my infancy (5) Red and yellow then came to be (8) Reaching out to me (5) Let's me see (3)". "Ride the spiral" most likely refers to the "golden spiral"."