Slides

ENTROPY

ORDER

SYNTROPY


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DEGREE OF FREDOM & STRUCTURE

INTEGRAL: A * (psi function) * dxdydz = 1

DEGREE OF FREDOM & STRUCTURE

ARCHITECTURE

525.01 If subvisibly modulated spiraling wave lines cannot go through the same point at the same time, there can be no continuous, perfectly level planes. Planes are not experimentally demonstrable. Solids are not experimentally demonstrable. Physical experiment has never discovered any phenomena other than discontinuous discrete-energy events, each uniquely identifiable amongst the gamut of frequencies of cyclic discontinuity of all the physical phenomena, as comprehensively and

KEITH CRITCHLOW

POTENTIAL ENERGY

ORDER IN SPACE

Architecture on our planet Earth is the design process of building macrostructures out of microstructures, the building of visible structures out of invisible structures.

matter

STRETCH & OCNTRACT

KINETIC ENERGY

SPIN

overlapping arrayed in the vast frequency ranges of the electromagnetic spectrum. The electromagnetic spectrum "reality" has been found experimentally to embrace all known physical phenomena: visible, subvisible, or ultravisible thus far detected as present Universe. Tere are no solids. The synergetic behavior of structures satisfactorily expains as discontinuous that which we have in the past superficially misidentified as "solid."

			Eadweard Muybridge in 1886
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SPECIAL CASE

BRAIN

VIRTUAL BRIDGE

Mind ‘s greatest function lies in its ability to deal in generalized principle Absolutely weightless abstract phenomenon.

SPECIAL CASE


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DNA

UNZIP

WAVE

SENSES

"The breaking of terminal hydrogen bonds in DNA by random thermal motion. Because the internal hydrogen bonds continue to hold the two chains together, the immediate reforming of the broken bonds is highly probable. Also shown is the very rare alternative: the breaking of further hydrogen bonds, and the consequent disentangling of the chains." MOLECULAR BIOLOGY OF THE GENE JAMES D. WATSON

Whitehead [on the scientific method]
The Fallacy of Mistaken Concreteness:

energy

The physical Universe is an aggregate of frequencies. Each chemical element is uniquely identifiable in the electromagnetic spectrum by its own unique set of separately unique frequencies.


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SPECTRUM

SOUND

ACCENT

COLOR WHEEL

TESSELLATION

"Some 2,000 years ago the Roman architect Vitruvius (active in the 1st century BC) described the propogation of sounds through the air as like the motion of ripples across the surface of a pond. Vitruvius was largely ignored and it was not until 1,700 years later that the italian scientist Galalio

E L E C T R O M A G N E T I C spectrum

Galilei (1564-1642) decided for himself that sound is a wave motion, "produced by the vibration of a sonorous body". The Physical World Martin Sherwood & Christine Sutton

MAXWELL

PASCAL

LONGITUDINAL WAVE

SENSES

	1831-1879		ANCIENT CHINESE 1303		TRANSVERSE WAVE
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INSIDE / OUTING

ORBITAL ROTATION

PRESSECION

MOTION

400.60 Motion of Systems: Systems can spin. There is at least one axis of rotation of any system. 400.61 Systems can orbit. Systems can contract and expand. They can torque; they can turn inside out; and they can interprecess their parts. 400.62 Systems are, in effect, spherical gears. Their internal-external pulsating and rotating "teeth" consist in reality of both circumferential and radial waves of various frequencies of subdivision of spherical unity.

INVOLUTING - EVOLUTING

MECHANICAL UNIVERSE

DYNAMICS

DILATION

PARALLEL PROJECTION

PROJECTION FROM A POINT SOURCE

987.021 Recognizing that angles are conceptual independent of the lengths of the lines converging to form them, it follows that a triangle or a tetrahedron or any polygons or polyhedra are conceptual--and conceptually different--quite independent of time-size lengths of the lines defining the polyhedra. All primitive non-space-timedifferences are exclusively angular and topological.

	EUCLIDIAN		AFFINE		PROJECTIVE
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TOPOLOGY

DYNAMICS

AXIAL ROTATION

TORQUE

EXPANSION /

1031.15 What we are talking about as apparent asymmetry is typical of all life. Nature refuses to stop at the vector-equilibrium phase and always is caught in one of its asymmetric aspects: the positive and negative, inward and outward, or circumferentially askew alteration.

M O T I O N

I have originally conceived this Non-arbitrarily Structured Minimum elements Abstraction Multimedia format about a year ago I have informally presented this work at the University of North Carolina on March 21, 1994 it marked a great new spring for me. In a reunion with my professor from twelve years prior Jay Randle was still my great teacher and is still bringing insight into my world. This version was printed on:

4 / 27 / 1994

	TRANSLATION		ROTATION		REFLECTION
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PARABOLA

HYPERBOLA

CONE

TRAJECTORY

EXCESS

All "lines," trajectories, are complexedly curved.

CURVES


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CALCULUS

FUNCTIONS

(x - h) + (y - k) = r

(x ^2/a^2) + (y ^2/b^2) = 1

y = a x + b

CIRCLE

ELLIPSE

CROSSING LINES

CUBE

TETRAHEDRON

DODECAHEDRON

SHAPES

	3 TETRA VOLUMES		IT'S OWN DUAL		65.018 TETRA VOLUMES
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FOUR DIMENSIONS

FIVE DIMENSIONS

SIX DIMENSIONS

TRIANGLE

Triangle is structure and structure is triangle

4 DEGREES OF FREEDOM

5 DEGREES OF FREEDOM

6 DEGREES OF FREEDOM

... A system is the first finite unitarily conceptual subdivision of finite
but nonunitarily conceptual Scenario Universe.

SYSTEM

4 DEGREES OF FREEDOM

5 DEGRESS OF FREEDOM

6 DEGREES OF FREEDOM

Unity is Tetramension = two to the fifth power times five.

	FOUR DIMENSIONS		FIVE DIMENSIONS		SIX DIMENSIONS
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STRUCTURE

ANGLE

ONE DIMENSION

TWO DIMENSIONS

THREE DIMENSIONS

An angle is an angle independent of the length of it's sides.

Angle is subsize.
505.03 [Pattern] All experiences are

1 DEGREE OF FREEDOM

2 DEGREES OF FREEDOM

3 DEGREES OF FREEDOM

S T R U C T U R E

STRUCTURAL SYSTEM

A SELF STABILIZING COMPLEX OF ENERGY EVENTS

PATTERN INTEGRITY


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KEPPLER'S 1st LAW

KEPPLER'S 2nd LAW

KEPPLER'S 3rd LAW

MIND

404.04 Weightlessness, abstract human mind reviews and from time to time discovers mathematically reliable and abstractly statable interrelationships existing between and amongst, but not "in" or "of", any of the special-case experience components of the relationship. When a long-term record of testing proves the relationship to persist without exception,

ELIPTICAL ORBIT

EQUAL AREAS IN EQUAL TIMES

PERIOD TO THE SECOND POWER EQUAL DISTANCE TO THE THIRD POWER

"The set of all events that are continuously connected
to us." Stephen W. Hawking @ S.M.C.

UNIVERSE
it is rated as a scientifically generalized principle.

The TRISECTORs of any triangle's three angles describes an equiangular triangle.

Kepler tried hard to fit our Solar System into the five platonic solids

5.7 Every vertex of the Voronoi diagram is the common intersection of exactly three edges of the diagram.

Whenever human mind discovers a generalized principle to exist amongst the special-case experience sets, the discovery event itself becomes a new special-case experience to be stored in the brain bank and recalled when appropriate.

	MORLEY THEOREM		KEPPLER'S UNIVERSE		VORONOI DIAGRAM
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GENERALIZED PRINCIPLES

SCENARIO

CATERPILLAR

BUTTERFLY

MOTION PICTURE

301.10 Universe
is the aggregate of all humanity's consciously apprehended and communicated nonsimultaneous and only partially overlapping experiences.

MUYBRIDGE 1878

228.12 Scenario Principle: Considerable Set:

S C E N A R I O U N I V E R S E

In considering all experiences, the mistakes of the past and the anticipations of the future are metaphysically irrelevant. We do not have to be preoccupied with hypothetical or potential experiences because we are always living in the now. LIving in the present tense obviates impatience.

CHORD

COMPLEMENTARITY

UNIVERSE

	ALHAZEN (AD 1000)				NEILS BOHR
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VACUUM TUBING

MIN. 2" CUT

MIDDLE

MODELABILITY

WORKING
TOGETHER

Synergy means
behavior of whole
systems unpredicted
by the behavior of
their individual parts
taken separately.

TWO 27041 "GATES" 7/64" X 50'

MULTIPLICATION BY DIVISION

PUNCH IN THE MIDDLE ACCESS TO INSIDE

SYNERGY

Explorations in the Geometry of thinking SYNERGETICS R. BUCKMINSTER FULLER

"GENERAL" No. 72

1895-1983

SLIDE THROUGH

"...There is a great deal of
difference between absolute
disorder, which is chaos and that
which we may recognize as
relative asymmetry which is only
relative disorder."

Synergetics Dictionary

Compiled by:
E.J. Applewhite

	REVOLVING PUCNCH		R. BUCKMINSTER FULLER		MADE TO FEMALE KNOT
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CHAOS

CUTTER

BUCKY

SIX - 6" MEMBERS

THINKABLE SET

Synergetics promulgates a system of mensuration employing 60-
degree vectorial

SYNERGETICS c o o r d i n a t i o n

WOODEN DOWELS

ANGLE

coordination comprehensive to both physics and chemistry, and to both arithmatic and geometry, in rational whole numbers.

	TWO SETS OF 55: 1/16" RADIUS x 36" LONG		FREQUENCY		INDEPENDENT OF SIZE
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INSIGHT

P H O T O N

EINSTEIN

ALAN WATTS

MUTUAL ARISING

529.11 The future is not linear. Time is vavilinear. Experience is expensive, omnidirectionally including and refining the future. It probably consists of omnidirectional wave propagations. We seem to be taling about a greater range of known cycling. It is both a subjective "now" and an objective "now"; a forward-looking now and a backwork-looking now which

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1915-1973

hsiang sheng

E V E N T

G E O M E T R O D Y N A M I C S

combine synergetically as one complete "now." Because every action has both a reaction and resultant, every now must have both a fading past and a dawning future.

{header 4}

A2=B2 + C2 - 2AB * cos A

Q U A N T A

	{footer 4}		PYTHAGORAS (BC 580)		TETRAHEDRON
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TWO-NESS

OPPORTUNITY

SYNTROPY

{

"In respiration, organic molecules such as glucose are oxidized by molecular oxygen to form C = O bonds (Table 2-2 [not included] ), which contain less usable energy (energy which can do work) than the starting C - H, C-OH, and C - C bonds. Energy is given off in respiration, just as it is when glucose burns at high temperatures outside outside the cell to produce CO2, H2O, and energy in the form of heat. In contrast, during photosynthesis,

"COSMOGRAPHY " R.BUCKMINSTER FULLER

VOYAGER 1

GENERALIZED PRINCIPLES

SPHERE

DYMAXIAN WORLD MAP

PHOTOSYNTHESIS

the energy from light, from the light quanta of the sun is used to reduce CO2 to molecules which contain more usable energy."

JAMES D. WATSON
MOLECULAR
BIOLOGY OF THE GENE

	6 FREQUENCY GEODESIC		BY PAT CHIPMAN		SYNTROPIC
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ENTROPY

STRUCTUAL

Frequency to the first power
F
L= F

Frequency to the
second power
Area = 10 * F + 2
F

Frequency to the
third power
F
Volume = 20 * F

m i n i m u m

s t r u c t u r a l s y s t e m s

SYSTEMS

	LENGTH		AREA		VOLUMN
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Cube or Hexahedron is a 2 frequency condion, a special case occuranse in spherical packing.

The most common coordination number of silicon, when it associates with oxygen, is 4

20 TETRA VOLUMES

STRUCTURAL

CUBE

1 SILICION 4 OXYGEN

JITTERBUG

ACCOUNTABILITY ENERGETIC GEOMETRY

92 IN THE OUTER SHELL & 146 ALL = 238

	ZERO FREQUENCY		TWO FREQUENCY		THREE FREQUENCY
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SYSTEMS

GEOMETRY

4 TETRA VOLUMES

18.510 TETRA VOLUMES

REGULAR POLYHEDRA (PLATONIC SOLIDS) ISOTROPIC VECTOR MATRIX

OCTAHEDRON

MANDEL RATIO 3 : 1

ICOSAHEDRON

S H A P E S

CIRCLE

POLYGON

WAVE

D U A L S


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GEOMETRY

A - QUANTA MODULE

S - QUANTA MODULE

B - QUANTA MODULE

C U R V E S

	HELIX		BRANCH		SPIRAL
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SHAPES

SIMPLE MACHINES

{S_box}

ARCHIMEDES

WATER

GALILEO GALILEI

"The water molecule consists of two hydrogen atoms bound to an oxygen atom. Bond length is 0.95717 A, and bond strength is 9.69 eV total ( 4.43 eV to remove the one hydrogen and 5.19 to remove the other). The two hydrogen atoms from an angle of 104d31m with oxygen atom in liquid water or water vapor. In ice, the angle is 109d28m.

LEVER

H 2 O

INCLINED PLANE

The Scientific Companion

D Y N A M I C S

Most Familiar Strangest Chemical of all. All states at normal temperature ranges found on earth. 97% salt. Less than 1 % Fresh water. Solid form less dense than liquid. Polar Use it more than any other substance on earth. Universal solvant.

JITTERBUG

	PUSH		STRAIGHT		THROUGH
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THE LIFE FORCE

VECTOR EQUILIBRIUM

The Hen's Egg

T R A N S F O R M A T I O N

	TWIST		TURN		PLUNGE THROUGH
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MOTION

C O L O R

COMPARISON

SUCCESSIVE CONTRAST

SIMULTANEOUS CONTRAST

541.20 Solution of Four - Color Theorem
Polygonally all spherical surface systems are maximally reducible to omnitriangulation, there being no polygon of lesser edges. And each of the surface triangles of spheres is the outer surface of a tetrahedron where the other three faces are always congruent with the interior faces of the three adjacent tetrahedra. Ergo, you have a four - face system in which it is clear that any four colors could take

T H E E L E C T R O M A G N E T I C S P E C T R U M

care of all possible adjacent conditions in such a manner as never to have the same colors occurring between two surface triangles, because each of the three inner surfaces of any tetrahedron integral four color differentiation must be congruent with the same - colored interior faces of the three and only adjacent tetrahedra; ergo, the fourth color of each surface adjacent triangle must always be the one and only remaining different color of the four - color set systems.

SPECTRUM

	PRIMARY ADDITAVE		3 DIMENSIONS OF COLOR		VISIBLE LIGHT
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VISIBLE LIGHT

223.74 Planck's constant emerged empirically, and to reconvert it to conformity with synergetics the 6.6 ness is canceled out: 6.6 = 20/3 = volume of vector equilibrium/ volume of cube Therefore, to convert to synergetics accounting, we multiply Planck's 6.6 x 3 = 20 As seen elsewhere in synergetics' topology, the number of surfaces points of the identically vector--radiused and vector-chorded system's vector equilibrium-as well as of its spherical

REFLECTION

REFRACTION

INTERFERENCE

w a v e p a r t i c l e d u a l i t y

One Quanta

icosahedron counterpart--always multiplies at a second-power rate of the frequency (of modular subdivision of radius vector of the system) times 10--to the product of the system, which twoness, at the relatively high megacycle frequencies of electromagnetic wave phenomena, becomes an

	DISPERSION		LIGHT PHOTON		VISION
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PLANCK

SPECIAL CASE

AUTOCAD FILES RENDERED IN BIGD

TRANSCEIVER


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SPECIAL CASE

LEVER COLUMN


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ARCHITECTURE

O R D E R

N A T U R E


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