TONY STEELE

Lucas

 

Lucas numbers: the exponential expression of Phi

modulo 9 mental objects exploring the patterns produced using

mod9 Pisano Period 24

 

graphics on canvas

30ins x 30ins

3-6-9-0 framework

lucas cycle construct

lucas cycle A+B

master lucas cycle

master lucas cycle 3-6-9-0 framework composite lucas cycle lucas cycle black

Fibonacci & Lucas are direct expressions of Phi and reciprocal phi

(1.618034 & 0.618034)

fibPHI lucasPHI

Fibonacci:

ADDITIVE & consecutive

Lucas:

EXPONENTIAL & alternate

pisanoperiods

Further analysis using modulo functions reveals repetitive cycles:

Pisano Periods

selection of working data:

lucas cycle

Modulo 9 (mod9) Pisano Period of 24

Master Lucas Cycle construction - breakdown of values