art theory 101 / database index
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- Page 2a: PIN: Pattern in Number...from primes to DNA.
A brief
primer on visual patterns found in simple, well known number systems leading into the
remarkable number magic and esthetic beauty of the DNA double helix (axial view) found
in Page 3. GoDNA and continued in Page 4. SCoDNA below.
- Page 2b: Butterfly Primes...let the beauty seep in.
The lure and
elusiveness of prime numbers, those very same numbers which all the other natural
whole numbers can be reduced to, is thousands of years in the making, captivating
the minds of anyone...perhaps everyone...who has ever contemplated their beauty
and mystery. Can this beauty reveal a visual and mathematical pattern? First online: 12-09-05
- Page 2c: Butterfly Prime Directive...metamorphosis.
This paper provides
further insight into the foundation of the "Butterfly Primes" pattern
and in doing so further substantiates the proof of Riemann's Hypothesis. First online: 01-05-06
- Page 2d: Butterfly Prime Determinant Number Array (DNA) ~conspicuous abstinence~.
The role of
the highly ordered positive space pattern of the odd non-primes in revealing the
reverse, negative space pattern of the primes as a determined number array is revealed.
First online: 02-15-06
- Page 3: GoDNA: the Geometry of DNA (axial view) revealed.
Which came first?
The self replicating underlying geometry or the form itself with its dependence on
enzymes, hydrogen bonding and a matching code of bases?
- Page 4: SCoDNA: the Structure and Chemistry of DNA (axial view).
Extending
GoDNA into the realm of structural detail and chemistry forming the composite design. All DNA works online: 2001.
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- Page 5a: Dark-Dark-Light: Dark Matter = Dark Energy (the inverse of) .
Conservation of SpaceTime as moderated by the Conservation of Force and
Energy. The LUFE Matrix is introduced. The relationship between the Higgs,
photon and graviton gauge bosons as the gatekeepers between spacetime and
matter is examined. Date first published: 05-08-03; link to LUFE Matrix added 05-30-03.
- Page 5b: The History of the Universe in Scalar Graphics .
(Simultaneous Birth of Black Holes and the Inflationary Universe at the onset of the Big Bang)
A mostly graphical supplement to "Dark Matter = Dark Energy (the inverse of): The Conservation of Spacetime by The Conservation of Force".
Date online: 11-28-04
- Page 5c: The History of the Universe - update- "The Big Void" .
A short supplement to "Dark Matter = Dark Energy (the inverse of): The Conservation of
Spacetime by The Conservation of Force" and "The History of the Universe in Scalar Graphics."
Date online: 09-05-07
- Page 6: The LUFE Matrix.
Here is a fully digitized and interactive version of The LUFE Matrix The
LUFE Matrix: the distillation of SI units into more fundamentally base units of
space and time dimensions (Short Title: The Multi-dimensional LUFE Matrix).
Date first published: 1985 (LUFE); Date first published by itself: 1991. Date online: 05-30-03.
Preview-Review Slide Show added 08-05-03
- Page 7: The LUFE Matrix Supplement.
The supplement, first published along with the The LUFE Matrix in 1991, contains
over 200 examples and proofs covering a wide range of classical and modern physics
and cosmology. The paper version is 97 pages long. The digital version is now completed.
Date first published: 1985 (LUFE); Date first published by itself: 1991. Date online: partial 06-30-03. Completed:07-27-03
- Page 8: The LUFE Matrix: Infinite Dimensions.
~a room with a
view...within a room with a view...within a room with a view~
A new, speculative journey to account for the multiple dimensions that have informed
The LUFE Matrix since its introduction in 1985. Date online: partial 03-10-04. Completed: 03-14-04
- Page 9: The LUFE Matrix: E=mc2
~and then some~
The focus is on energy. From Einstein's initial insight into the transformation
between mass and energy, we now have a large number of similar transformations between
energy and the other fundamental parameters of matter...i.e., charge and spin...and
their activities within their space-time environments such as velocity and acceleration, frequency
and temperature, momentum, pressure and force, potential difference, heat and work, etc.
The original Preview-Review Slide Show "Can you say energy 10 different ways?" (see above),
included here, is now further enhanced with a showcase of select LUFE Matrix Supplement
examples all focused on the various forms that energy can take.
Date online: partial 08-05-03. Completed: 10-17-05
- Page10: Quantum Gravity..by the book
~merging of Quantum Mechanics with Gravity ~
How do the mechanics of a written language explain quantum mechanics and general relativity (gravity)...the merging of the very small and the very large. Could it be that the same evolutionary neural development that allowed us the creation and development of our language...and more than just mimicking the results thereof...actually was developed in the same nursery of elemental space-time physics that form our understanding of the cosmos. Simple elemental combinations produce the greatest richness and diversity within a harmonious whole.
Date online: 04-10-08. Completed (Table added): 04-29-08
- Page11: Conservation of SpaceTime
~The role of the Higgs, graviton and photon bosons in defining Dark Matter = Dark Energy (the inverse of) ~
In this paper, we will bring together important concepts laid out in more detail in earlier works.
Specifically, we will be providing some simple visual portraits of the elementary particles. These diagrammatic illustrations will allow us to "see" how the concepts might in fact play out. Of course, what we are doing is illustrating the invisible… namely spacetime (SpaceTime=ST) itself and the matter and fields which are to populate it. As it will hopefully be clear, ST, and the matter and fields, are integrally interrelated... one defining the other and it is in the ultimate conservation of ST that results in and from the individual conservations of energy, force, and momentum. Any successful merging of the very large (general relativity) and the very small (quantum mechanics) into a theory of Quantum Gravity will have to address these fundamentals of ST. Date online: 12-31-08.
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- Page 12a: LUFE: The Layman's Unified Field Expose`
~Introduction-Contents-List of Figures~
A textural, visual and mathematical work that presents a clear vision of our Universe(s). More relevant today, than ever.
The SpaceTime (ST) continuum ...the matter and fields that are intimately derived from ...singularities, the Planck Event Horizon,
pulse generation ...the expression of mass, charge and spin and other fundamental constants ...the role of symmetry and asymmetry
in the expression of ST units like the fermions and the force-mediating vector bosons ...is explored from the visible to the hidden
through the interface of the photon, graviton and Higgs bosons ...the source of the fractal Universe.
Date first published by itself: 1985. Date online: 11-26-08.
- Page 12b: LUFE: The Layman's Unified Field Expose`
~Chapter I: Symmetry of Design (Fields)
~sonata form~~
Date first published by itself: 1985. Date online: 11-26-08.
- Page 12c: LUFE: The Layman's Unified Field Expose`
~Chapter II: Introduction to the Geometry
Of Interactions
~rhythms and melodies~~
Date first published by itself: 1985. Date online: 11-26-08.
- Page 12d: LUFE: The Layman's Unified Field Expose`
~Chapter III: The Geometry of Elemental Forms
~scales~~
Date first published by itself: 1985. Date online: 11-26-08.
- Page 12e: LUFE: The Layman's Unified Field Expose`
~Chapter IV: The Geometry of Universal Constants
~obstinate bass~~
Date first published by itself: 1985. Date online: 12-08-08.
- Page 12f: LUFE: The Layman's Unified Field Expose`
~Chapter V: The Geometry of Intermediate Forms
~chords~~
Date first published by itself: 1985. Date online: 12-08-08.
- Page 12g: LUFE: The Layman's Unified Field Expose`
~Chapter VI: The Geometry of Change
~polyrhythms and polyphony~~
Date first published by itself: 1985. Date online: 12-08-08.
- Page12h: LUFE: The Layman's Unified Field Expose`
~Chapter VII: The Geometry of Paradox
~counterpoint~~
Date first published by itself: 1985. Date online: 12-08-08.
- Page12i: LUFE: The Layman's Unified Field Expose`
~Chapter VIII: The Geometry of Large Forms
~harmony~~
Date first published by itself: 1985. Date online: 12-08-08.
- Page12j: LUFE: The Layman's Unified Field Expose`
~Appendix Set I:~
Date first published by itself: 1985. Date online: 12-08-08.
- Page12k: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constants
These five follow-up supplemental papers, collectively called "Fundamental Constants,"
are very important works that present key themes which run through LUFE. For some readers, reading these shorter, self-contained works first,
in reverse order, will provide the benefit of a spotlight on those key themes that will then more fully resonate with the complete LUFE read.
The works are now included, in the original unaltered state from 1985-07, as part of LUFE under this Appendix Set II. Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12k: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constant ~1. Mass
Mass expression.
Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12l: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constant ~2. Ratios
Ratios of the Electron and the Proton.
Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12m: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constant ~3. Charge
Charge expression. There are particles (ST units) with mass and no charge, but never with charge without mass!
Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12n: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constant ~4. The LUFE Matrix
Common units and The LUFE Matrix.
Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12o: LUFE: The Layman's Unified Field Expose`
~Appendix Set II:~Fundamental Constant ~5. The Atom
Mass variation in the electron by photon absorption, and, The Inverse Square Law.
Date first published by itself: 1985-87. Date online: 12-08-08.
- Page12p: LUFE: The Layman's Unified Field Expose`
~Acknowledgements and Bibliography~
Date first published by itself: 1985. Date online: 12-08-08.
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- Page 13: GoMAS: The Geometry of Music, Art and Structure ...linking science, art and esthetics
That simple geometric principles can be responsible for the
manifestation of the multitudes of beauty, diversity and richness of Nature is
further supported here in this paper. The Inverse-Square-Law (ISL), a simple
geometric principle, is shown to be the common link between physics, chemistry,
biology, and the science and esthetics of music and art. Nature has
incorporated the ISL as the major game rule to building the cosmos. Our
perception of pleasing form, color and sound is prophetically built into our
sensory being, our biologic evolution, and our structural past. Key to our
understanding of the geometry of the ISL is the interference of complementary
waveforms. Date first published by itself: 1987, 1996 (updated), and 1998 (condensed). Date online (new, expanded): 03-09-09.
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- Page 15: Brooks (Base) Square
The Architecture of Space-Time (TAOST) and The Conspicuous Absence of Primes (TCAOP).
The table of numbers that, while excluding the *prime numbers ... and only the *prime numbers ... reveals the number patterns that are primary ... primordial ... to the structure of the Universe.
This primordial matrix defines the Inverse Square Law (ISL) that informs gravity, light (electromagnetism) and atomic structure ... the underpinnings of that which we see as the observable Universe.
It is the architecture of space-time itself ... that which ultimately informs ... that is, reveals its disposition that in turn presents the physical laws, and their expression, of light, gravity and the structure of matter ... that fundamentally defines the true structure of the Universe ... seen and unseen ... encompassing all matter (light and dark) and all energy (light and dark). The ISL is a key relationship describing the interplay of space and time.
It is postulated here that the true underpinnings of space-time itself are inherently defined by numerical relationships ... numbers ... the numbers of Brooks (Base) Square (BS). Date online : original 12-31-09; full version 05-09-2010. Appendix added: 06-01-10. Appendix updated (Rules 178-181) 08-10-10. Appendix B added 11-7-11. Appendix B updated (Rules 182-200) 01-08-12.
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- Page 16: Brooks (Base) Square interactive (BBSi) matrix: Part I: BASICS
This "BASIC" introduction to the matrix grid and the simplest, most fundamental pattern of the numbers that are formed from the main, Prime Diagonal are presented in a step by step fashion in five different interactive, multimedia formats. The Prime Diagonal is none other than square of the axial numbers (1,2,3,...) forming the core of the Inverse Square Law sequence (1,4, 9,...).
All the numbers...and their many exquisite patterns...are derived directly from the Prime Diagonal numbers. This is Part I. Part II will follow and will present some of the more interesting patterns.
The Inverse Square Law defines how a force or influence (like energy or light) falls off in strength as the distance is increased. It is one of the fundamental relationship laws of the universe effecting everything from gravity to electromagnetism. It can not but help to also be part of the spacetime fabric. It's part of "The Architecture Of SpaceTime" (TAOST). Date online (Intro) : 11-05-11. Appendix B added: 11-07-11.
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- Page 17: The Architecture Of SpaceTime (TAOST) as defined by the Brooks (Base) Square matrix and the Inverse Square Law (ISL)
"The single most important concept to take from here is that not only is ST not rigid and static...indeed it is more like a fluid made of light, each quanta of which flashes on and off...pulse-propagates into and out of existence...at a frequency (and wavelength) according to its energy...and this fluid light ST unit resonates off a wave of energy at the peak of each pulse-flash...that wave, like a pond ripple, fans out to infinity (or the edge of the Universe...which ever comes first) where it is absorbed back into the sub-Planck event horizon (Singularity) to fuel the next round...communicating...passing on information...as to the location source and energy density...the amount and degree of its presence...its curvature...to every other ST unit throughout the Universe(s), BUT that the ST formation and curvature information propagation is informed, dictated and quantified by the matrix of BBS and the ISL...the bean counters par excellence!" Date online : 12-10-11.
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Feeling playful? Checkout the net.art versions of the above.
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Copyright©2000-12 Reginald Brooks, BROOKS DESIGN. All Rights Reserved.