If I had only known, I would have been a locksmith." Albert Einstein
From the late 1960's, until his death in July 1994, Joseph Edward Batter was fascinated with
the Geometry of Nature. In particular, Pi, Phi, and their application to "Earth Measure".
His extensive investigation yielded an array of profound real world discoveries
regarding Measure and Number.
Joe Batter was an accomplished "design draftsman".
Throughout the 1960's he produced the working technical drawings for office towers,
physical plants, hardrock mines and such. The profession demands more than steady hands,
sharp eyes and a disciplined mind. Drafting engineered designs of complex structures
requires fixed attention to detail as well as the capacity to view
and comprehend whole systems.
Joe and I met in the Fall of 1979, in Vancouver, Canada, over a coffee shop discussion
around phi, the Golden Section. At the time my interest was primarily in the artistic applications.
By then he was adept with numbers, solving eight decimal divisions longhand.
From the late 1960's, until his death in July 1994, Joseph Edward Batter was fascinated with
the Geometry of Nature. In particular, Pi, Phi, and their application to "Earth Measure".
His extensive investigation yielded an array of profound real world discoveries
regarding Measure and Number.
Joe Batter was an accomplished "design draftsman".
Throughout the 1960's he produced the working technical drawings for office towers,
physical plants, hardrock mines and such. The profession demands more than steady hands,
sharp eyes and a disciplined mind. Drafting engineered designs of complex structures
requires fixed attention to detail as well as the capacity to view
and comprehend whole systems.
Joe and I met in the Fall of 1979, in Vancouver, Canada, over a coffee shop discussion
around phi, the Golden Section. At the time my interest was primarily in the artistic applications.
By then he was adept with numbers, solving eight decimal divisions longhand.
Numbers had fascinated me for years, especially the works of R. Buckminster Fuller. When Bucky explained
"indigs", i was perplexed enough to dig deeper until i found this indig square, (1978).
"indigs", i was perplexed enough to dig deeper until i found this indig square, (1978).
TriTen: Venus One......(detail)
Suspended above the hand, the diameter of the sphere: .4181 lix
is one billionth Earths' diameter.
is one billionth Earths' diameter.
For newcomers and aficionados, a brief refresher on " phi ", the Golden Ratio:
Nature is replete with this ratio in the proportions of area, volume
and the palisading growth of crystals and spirals.
( see: Ian Stewart. Mathematical Recreations, Scientific American: Jan 1995)
The Number Phive
phive
to the power of point phive
times point phive
plus point phive
equals phi
1.618033988749 squared = 2.618033988749 = phi +1
1 / 1.618033988749 (the reciprocal) = .618033988749 = phi -1
.618033988749 x .618033988749 + .618033988749 = 1
The Power of Point Phive
n phibonacci x 5 to the power of .5 = n lucas
eg: phibo #19 = 4181
4181 x 2.2360679775 = 9349.0002 = phi to the 19th
= 9349 ( #19 Lucas )
All addition series produce approximations of phi.
One that does so in a unique way is the One Phive series:
1 + 5 = 6 + 5 = 11 + 6 = 17, etc
1, 5, 6, 11, 17, 28, 45, 73, 118, 191, 309, 500, 809, 1309, 2118 etc
Between 118 and 2118 are 5 numbers centered on 500 :
191 / 500 = .382
309 / 500 = .618
500 / 500 = 1
809 / 500 = 1.618
1309 / 500 = 2.618
The sum of these phive = 3118
In every verse, below the top line, add the first two digits of each line, to the "indig":
83
173 1 + 7 = 8 3
263 2 + 6 = 8 3
353 3 + 5 = 8 3
443 4 + 4 = 8 3
A mirror, within the first 99 pryhme numbers:
#12 = 37 73 = #21
83
173 1 + 7 = 8 3
263 2 + 6 = 8 3
353 3 + 5 = 8 3
443 4 + 4 = 8 3
A mirror, within the first 99 pryhme numbers:
#12 = 37 73 = #21
