From biology, to medicine, to physics, and to numbers and geometry, my pursuit has always been visually based…though not necessarily on retinal imagery, but on any visual association which enhances the mystery and thus engages the mind…as a painter and sculptor for the past 37+ years. _______
Past solo exhibitions:_________________ "~breathe~ A Celebration of Women", 2008 "A Void", 2007 "Infinite Dimensions…without borders", 2005 "The E-P Series: digital-encaustic with scratchboard", 2001;____ "Dance Number Appendage: A Surrealistic Look At Patterns in Dance and Numbers", 1997;____ "Lucy:Contemporary Reflections on Paleonathropologic Findings",1996;____ "Line.Surface.Volume",1996;____ "A Search for the Multicultural Mythology of Our Times", 1991.__________
Writings based on visual art, math, music and physics______________________
2015- • "TPISC II: The Pythagorean — Inverse Square Connection: Advanced ~A MathspeedST Supplement~" There is a simple whole number (integer) matrix grid table upon — and within — that every possible whole number Pythagorean Triangle — a.k.a. Pythagorean Triple — can be placed, and proved. The Brooks Base Square - Inverse Square Law (BBS-ISL) matrix is an infinitely expandable grid that reveals ALL Pythagorean Triples — both Primitive Triples (PPT) and their non-Primitive multiples (nPTT). An extremely simple geometric AREA proof of the Pythagorean Theorem — c2=a2+b2 — is built into the BBS-ISL matrix.
Not only does the Inverse Square Law describe, define and quantify our most important energies (and their expressions as force)— gravity, light, sound, electromagnetism… — the BBS-ISL matrix grid is composed of Pythagorean Triples crisscrossing over much of the entire grid. An intimate inter-connection way beyond a simple, casual association has been revealed. The Dickson Method confirms, validates and provides insight into the generation of ALL Pythagorean Triples.
• TPISC: INTRO to The Pythagorean — Inverse Square Connection ~A MathspeedST Supplement~, a new media net.art project, presents a summary Introduction and Overview" of this idea in a simplified form. There are NOW 6 parts to TPISC: The Pythagorean — Inverse Square Connection ~A MathspeedST Supplement~ as found on Art Theory 101 (LINKS below) :
◦ Page 31: TPISC: The Pythagorean — Inverse Square Connection: A MathspeedST Supplement ◦ Page 32: TPISC: INTRO to The Pythagorean — Inverse Square Connection: A MathspeedST Supplement ◦ Page 33: TPISC I: Basics ~The ebook The Pythagorean — Inverse Square Connection ~~~A MathspeedST Supplement~~~ ◦ Page 34: TPISC II: Advanced ~The ebook The Pythagorean — Inverse Square Connection ~~~A MathspeedST Supplement~~~ ◦ Page 35: TPISC I & II: INTRODUCTION TPISC (The Pythagorean — Inverse Square Connection) on the BBS-ISL Matrix ~~~A NEW Simplified Introduction~~~ ◦ Page 36: MSST-TPISC on the BBS-ISL Matrix movies on VIMEO. TPISC — MathspeedST –>BBS-ISL Matrix media center.
The actual white paper (TPISC) is packed full of visual media, charts and tables to follow the process of discovery. The relationships — connections and inter-connections — between the BBS-ISL matrix and the Pythagorean Theorem (as Pythagorean Triples) is so vast that the process of simplifying it down to consistent, irrefutable and concrete visuals became the motivation and driving force of this entire project. This iBook (e-book), contains a wealth of advanced figures, charts and tables that bring entirely new insights to the fractal-like Number Pattern Sequences that predictably pattern every Pythagorean Triple.
This is their story, now with all the advanced findings.
2014-"TPISC: The Pythagorean - Inverse Square Law Connection : A MathspeedST Supplement" The Pythagorean - Inverse Square Law Connection or “How the Pythagorean Theorem is intimately embedded within the The Architecture Of SpaceTime (TAOST) as described by the BBS-ISL matrix” is first and foremost the topic of this paper. It is a MathspeedST Supplement. A helpful introductory overview provides an easier entry into this new work.
"MathspeedST: The Ubiquitous Information of Numbers (or, How Fractals Exceed the Speed Limit of Light)" The General Ubiquity Rule (GUR) in effect, asserts that if you have a fixed numerical pattern that is ubiquitously present across all space and time (spacetime, ST), that information is present across the same, passing any need to actually travel or transports said information at or above the speed of light.
The Ubiquitous Information of Numbers, a new media net.art project, presents a summary of this idea in a somewhat playful form. The gist of the argument is as stated in the GUR above. A more local example of a checkered tablecloth is used to demonstrate the point. No matter how folded (or not), of whatever size, once you know the pattern of the cloth in any one grid square you know the the pattern of grids at any other spot on the cloth. Substituting the BBS-ISL (Brooks Base Square-Inverse Square Law) matrix, with its fixed numerical pattern that expands across any and all sizes, spaces, and times of distribution, gives us exactly that: The Ubiquitous Information of Numbers.
2013-"MathspeedST: Leapfrogging LightspeedST FASTER Than The Speed of Light" The fundamental, Underlying Question: How can information be ubiquitous…effectively traveling FASTER than the speed of light? is examined in this ebook that brings together the white papers and new medial net.art projects on Brooks (Base) Square (BBS-ISL matrix), A Fresh Piece of Pi(e), Numbers of Inevitability, and more, examining the fundamental, underlying nature of SpaceTime (ST) itself as defined below the Observable Universe. Is there a connection? This free ebook is the complement to LightspeedST.
"LightspeedST: Leapfrogging @ The Speed of Light" The Ultimate Question: Why is the speed of light constant? is laid out in this ebook containing a detailed look at the 8+-part series (below) examining the fundamental nature of SpaceTime (ST) and the role the constant "the speed of light" plays. Is there a connection? This ebook is a complementary work to MathspeedST.
"LightspeedST: 0. "The Ultimate Question" The Ultimate Question Intro to this 7+-part series examining the fundamental nature of SpaceTime (ST) and the role the constant "the speed of light" plays. Is there a connection?
"LightspeedST: 8. "Triad" The triad of velocity, space and time … ruminations.
"LightspeedST: 7. Quark Portraits" Part 7 of the now expanded series. Quark Portraits: A quick reference to the I- and L-quarks and the composite particles that they make. Includes reference charts, a quick look at L.U.F.E. and The LUFE Matrix, and a whole section on Spinor Rotation.
2012-"LightspeedST: 1. 20 Questions" Part 1 of the 5-part series. Twenty plus question examining the fundamental nature of SpaceTime (ST) and the role the constant "the speed of light" plays. Is there a connection?
"LightspeedST: 2. 20 Answers" Part 2 of the 5-part series. Twenty plus answers to the 20+ questions, framed in bite-sized chunks…the better to swallow and digest these tender new morsels. Lightspeed=ST suggests a new view of our Universe(s).
"LightspeedST: 3. The Mechanics of SpaceTime (ST) ~A Portrait of SpaceTime~" Part 3 of the 5-part series. Actually, this "Portrait of SpaceTime" was written first. (Actually…really…this is all based on L.U.F.E., the Layman's Unified Field Expose´ from 1985. See Links.) The goal: in the most concise and succinct manner…and always with an eye on simplification…lay out the case for tying together the quantum nature of light with the gravitational dependence of spacetime. LightspeedST Parts 1,2,4,and 5 quickly followed as the antidote.
"LightspeedST: 4. The Movie Script" Part 4 of the 5-part series. All text and no play doesn't mean anything more than the notion that every one's individual imagination will play out differently…because that is a good thing! And yet, there is something especially apropos about seeing the original intent…the roadmap to infinity. Don't miss this one! (IN PRODUCTION)
"LightspeedST: 5. The Movie" Part 5 of the 5-part series. As a visual journey, "LightspeedST: 5. The Movie" will quickly swoosh you…through moving images and text…up and over, down and through, the highlights of LightspeedST…leapfrogging @ the speed of light. (IN PRODUCTION)
"LightspeedST: 6: Links & References" A quick References and Links page.
"AFPOP: A Fresh Piece of Pi(e)…and the √2, too…Fractal - Fractal - Fractal" "Circles and squares…as well as other geometric forms…have always been inter-related. Inherent in their geometry is the relationship of their linear elements to their areas…forming the basis of the Inverse Square Law (ISL), as formally presented in the Brooks Base Square (BBS) matrix. At their core, these geometric forms are based on three irrational, infinity-based numbers of proportion…π, √2 and φ…pi, the square root of two, and the golden mean. These core proportion-based relationships suggest that they may be acting as fractals in the formation of The Architecture Of SpaceTime (TAOST). Fractals of infinity.!"
"GoMAC: The Geometry of Music And Color, Parts II and III." How the natural, geometric divisions of the musical monochord and the color spectrum are inherently derived from the same universal law that informs how light, sound, electromagnetism, gravity…indeed, "The Architecture of SpaceTime" itself…behaves. That law is the Inverse Square Law (ISL) and it has a specific relationship to all the quantitative, whole integer numbers as shown in the Brooks (Base) Square matrix (BBS).
Part II of the three-part Geometry of Music And Art (GoMAC) series focuses on a visual journey of how the musical spectrum…and specifically the chromatic and diatonic scales…is based on the ISL.
A visual walk-through and summary of key concepts relating the ISL-derived Brooks (Base) Square, BBS, matrix with a geometrically derived division of both the musical monochord…resulting in the chromatic and diatonic major scale…and the color spectrum (as seen in GoMAC part III). Modulations around the Circle of Fifths and the Golden Rectangle are…key.
Based on "The Geometry of Music, Art and Structure…linking science, art and esthetics" white paper, "Geometry of Music And Color, I" new media net.art project, and the BBS matrix. Original soundtracks (A and B).
Part III focuses on a visual journey of how the color spectrum…and specifically the complementary colors of each hue, is based on the ISL.
A visual walk-through and summary of key concepts relating the ISL-derived Brooks (Base) Square, BBS, matrix with a geometrically derived division of both the musical monochord…resulting in the chromatic and diatonic major scale (part II)…and the color spectrum, in which color complements inside and outside of the 400-750 nm visible spectrum dictate the colors that we perceive.
"Numbers of Inevitability ~Let’s do a number on that!~" Number relationships are like the best and worst…the highest highs, lowest lows…of the most significant human relationships you have ever known. When they are really wrong it really shows and pretty much everyone can see it. And, when they are right…really right…they seem, well, almost inevitable.
2011-"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!"
"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).
2010-"Brooks (Base) Square (BS): The Architecture of Space-Time (TAOST) and The Conspicuous Absence of Primes (TCAOP) -the complete work (Rules 1-177) 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).
2009-"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.
2008- "The Conservation of SpaceTime ~The role of the Higgs, graviton and photon bosons in defining Dark Matter = Dark Energy (the inverse of) ~
2008-"Quantum Gravity …by the book" ~Merging Quantum Mechanics with Gravity~ a simple, non-mathematical insight.
2007-"The History of the Universe - update - 'The Big Void'" ~A short, update 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."
2006-"The 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.
-"The Butterfly Prime Directive … ~metamorphosis~". ~There is a logic behind the ordered and predictable pattern of prime numbers.
2005- "Butterfly Primes … let the beauty seep in". ~An ordered and predictable pattern for the prime numbers emerges.
-"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.
2004-"The History of the Universe in Scalar Graphics" A one-page visual supplement to "Dark-Dark-Light" below.__
-"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. FAQ-graphic format.
2003-Dark-Dark-Light: Dark Matter = Dark Energy (the inverse of): The Conservation of Spacetime by The Conservation of Force_____
-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_____
-The LUFE Matrix Supplement: Examples and Proofs_____
2001-Part II below, from 2000, was rewritten and recast for online publication as a three part series:___
Part 1: "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 Part 2.GoDNA and continued in Part 3.SCoDNA._____
Part 2: "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?_____
Part 3: "SCoDNA: the Structure and Chemistry of DNA (axial view)"_____
Extending GoDNA into the realm of structural detail and chemistry forming the composite design._____
2000-"The Geometry of Music, Art and Structure?linking science, art and esthetics, Part II" self-published. The original material for this paper was presented (self-published) at the 1997 solo exhibition at the Montage Gallery, Portland, OR under the title "Patterns In Numbers: From Prime Numbers to DNA".____
1998-"The Geometry of Music, Art and Structure?linking science, art and esthetics, Part I" presented at the Eighth International Conference on Engineering Computer Graphics and Descriptive Geometry in Austin, TX, sponsored and published by the International Society of Geometry and Graphics. The original material for this was presented at the 1996 solo exhibition at the Montage Gallery, Portland, OR.______
1991-"The LUFE Matrix: the distillation of SI units into more fundamentally base units of space and time dimension (Short Title: The Multi-dimensional LUFE Matrix)" with supplement, paper, self-published_____
1987-"Fundamental Constants of Nature: Mass", paper, self-published_____
1987-"Fundamental Constants of Nature: Ratios", paper, self-published_____
1987-"Fundamental Constants of Nature: Charge", paper, self-published_____
1987-"Fundamental Constants of Nature: The LUFE Matrix", paper, self-published_____
1986-"Mass Variation in the Electron by Photon Absorption & The Inverse Square Law", paper, self-published_____
1986-"Expose on Music, Color and the Inverse Square Law", paper, self-published_____
1985-"L.U.F.E.: The Layman?s Unified Field Expose" (a visual guide), textbook-manuscript, self-published_____2008-placed on line
Contact and additional links to this work:_______________ Reg Brooks___ Brooks Design___ 535 NW 107th Ave___ Portland, OR 97229-6211___ 503.646.1548 Phone___
"The LUFE Matrix: Infinite Dimensions ~a room with a view…within a room with a view…within a room with a view~" has recently been added. A new, speculative journey to account for the multiple dimensions that have informed The LUFE Matrix since its introduction in 1985. It is presented in a FAQ-graphic format. http://www.brooksdesign-ps.com/Code/Html/LM/LMInfDim.htm