*"If I had only known, I would have been a locksmith." AE*

From the late 1960's, until his death in July 1994, Joseph 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 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 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. A decades research had Joe

convinced there was a Universal Unit latent in the base 10 number system.

After several engaging discussions, and the introduction of a scientific calculator,

a collaboration began. My main role was to illustrate graphically Joe's numbers

and lines; to ground his 'Earth Measure' in a natural setting.

For newcomers and aficionados here is a brief refresher on " phi ", the Golden Section.

Nature is replete with this ratio in the proportions of area, volumes

and the palisading growth of crystals and spirals.

( see: Ian Stewart. Mathematical Recreations, Scientific American: Jan 1995)

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) = .6180339618033988749 = phi -1

.618033988749 x .618033988749 + .618033618033988749 = 1

n phibonacci x the square root of 5 = n lucas

ex) phibo #19 = 4181, 4181 x2.2360679775

From the late 1960's, until his death in July 1994, Joseph 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 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 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. A decades research had Joe

convinced there was a Universal Unit latent in the base 10 number system.

After several engaging discussions, and the introduction of a scientific calculator,

a collaboration began. My main role was to illustrate graphically Joe's numbers

and lines; to ground his 'Earth Measure' in a natural setting.

For newcomers and aficionados here is a brief refresher on " phi ", the Golden Section.

Nature is replete with this ratio in the proportions of area, volumes

and the palisading growth of crystals and spirals.

( see: Ian Stewart. Mathematical Recreations, Scientific American: Jan 1995)

The Number PhiveThe 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) = .6180339618033988749 = phi -1

.618033988749 x .618033988749 + .618033618033988749 = 1

__The Power of Point Phive__n phibonacci x the square root of 5 = n lucas

ex) phibo #19 = 4181, 4181 x

*= 9349.0002 = ( phi^19 ) = 9349 ( #19 Lucas )*

Long viewed as an aesthetic standard in architecture and art, the "Golden" section

occurs when the ratio between the shorter section of a line to its longer section

is exactly equal to the ratio of the longer section to the whole line.

numerically: .38196601 is to .61803399 as .61803399 is to 1

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

Long viewed as an aesthetic standard in architecture and art, the "Golden" section

occurs when the ratio between the shorter section of a line to its longer section

is exactly equal to the ratio of the longer section to the whole line.

numerically: .38196601 is to .61803399 as .61803399 is to 1

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