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RESUMÉ

Born in the San Francisco Bay Area and raised in Southern California, Reginald Brooks graduated from Oregon State University with a degree in general science in 1970. Before fully completing a MS degree in cell biology, he moved his young family to Portland to obtain a degree in Medical Technology.

After five invigorating years as a medical research specialist he returned to his true love... the visual arts. Thus began a long career as a painter and sculptor with a strong interest in realizing and expressing the amazing world that we inhabit... with a considerable interest in seeing the world without borders...without the overt distinction between the aesthetic, interpretive view of the visual arts and the seemingly plain, yet nevertheless interpretive view of science.

Writings on mathematics and physics, both his own and others, have formed the underpinnings of much of his work over the years.

New media net.art... work created on and designed to be experience on a computer... has been a new and very exciting part of his output since 2001. This medium has provided a natural collaborative venue for separate media (white papers, prints, drawings, paintings, sculpture and animations) to come together to present a more complete immersive experience to a global audience.

He has exhibited his paintings and sculptures in a number of solo (Portland) and group shows across the country.

Writings based on visual art, math, music and physics



    2020-


  • Page 60:    PTOP: Periodic Table Of PRIMES: How to Make with Fractals


    What if the secret of the primes were to be more than just atomic-base units of the natural whole numbers.

    What if they really gained their constructive prowess when their natural sequence --- the PRIMES Sequence (PS = 3,5,7,11,13,17,19,23,29,31,...) --- were tied together as PSs.

    Yes as FRACTALS! PS-Fractals./ul>

    2018-

    • Page 50:    TPISC IV: Details: Make any size BIM easily on your spreadsheet app.

      Making the BIM

      It is remarkably simple to make a BIM grid of any size right within your own spreadsheet app (Numbers, Excel,...). Only a few simple formulas to head up the columns and you can expand the BIM to whatever size you want, limited only by your processing power, file size limits and the practical means of filling the cells with very large numbers should you go way out there.

      You can also selectively add ONLY THE ROWS and COLUMNS you desire. It works all across the grid. It is also searchable!

      Although Python may be preferable for its depth and versatility in making and searching within the BIM, your spreadsheet-BIM will be just so easy to implement, display and image out that it may become your go to method for working on the BIM.

      Requirements:

      • spreadsheet app (I used Numbers)
      • a few simple formulas (supplied)
      • numbers list: 1,2,3,...

    • Page 49:    TPISC IV: Details: CaCoST (Creation and Conservation of SpaceTime) — DSEQEC (Double-Slit Experiment – Quantum Entanglement Conjecture (Part I of II)    TPISC III: Clarity & Simplification and TPISC IV: Details: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) Interactive Graphics on BIM & BIMtree AREAS..


      Part II of II on the DSEQEC (Summary) as a natural extension of the CaCoST

      From Part I of DSEQEC: The quantum universe begs the question: what is the quantum?

      Perhaps we can say the basic pulse-propagation of ST from its singularity — a singularity connected to the larger pool of all singularities by the Conservation of Energy — out into full spacetime extension, and back, is the fundamental quantum. The ST so formed has articulation points, nodes of structural formation made by the embedded Pythagorean Triples. These nodes are also quantized as they both are dependent upon the unfolding Inverse Square Law-based ST, and they have distinct vector parameters inherently built into their asymmetric forms. They have both magnitude and direction — and as vectors their net expression can be the result of the total added or subtracted interfering ST units. The fact that every primitive PT comes in both its parent PPT form as well as its child nPPT form provides a built in fractal-like structure, that, when combined with the fact that each and every PT — PPT and nPPT — has 4 iterations of expression within the unfolding ST unit pulse-propagation, and we we now have a fractal-based, holographic quantum universe(s)!

      The ER = EPR conjecture is a very interesting insight into the joining of quantum mechanics with quantum gravity through the geometry of spacetime.

      What is needed is the other, complementary side that seals the deal: any entanglement of spacetime (ST) and ST units/particles, i.e. photons, gravitons, Higgs Bosons,… must reckon with:

      1. ST itself is formed in such a way that it obeys the Inverse Square Law (ISL), is always consistent with the Conservation of Energy, and its very formation must be one and the same with the formation of its progeny ST units and the built-in velocity of light, c;
      2. ST itself, and thus its ST progeny, must be conserved;
      3. ST itself, and thus it ST progeny, must be fully accountable for all intricacies of the Double-Slit Experiment.

      In Part II, that very Creation and Conservation of SpaceTime will form the context in which the DSEQEC comes to life!

      SEE Page 47 (above) for Part I of II CaCoST - DSEQEC.

      SEE Page 50 (below) for spreadsheets: BIM: How to Make.


    • Page 48:    TPISC IV: Details: PPT Profiles; PPT and PRIMES Distribution-Active Rows_24; and, DSEQEC (Double-Slit Experiment — Quantum Entanglement Conjecture    TPISC III: Clarity & Simplification and TPISC IV: Details: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) Interactive Graphics on BIM & BIMtree AREAS..


      Here is the working draft of the TPISC IV: Details: PPT Profiles; PPT and PRIMES Distribution-Active Rows_24; and, DSEQEC (Double-Slit Experiment —Quantum Entanglement Conjecture ebook. This includes the above Pages 42-48. A PDF version will be forthcoming.

      ORGANIZATIONAL NOTE: While it may have made more sense to divide the entire work into three parts — PPT profiles followed by the ÷ 24 all by itself in the second part, and the Double-Slit Experiment—Quantum Entanglement Conjecture (DSEQEC) in the third — preference was given to keeping it all together under "Details" in that each part informs the other and keeping a constant "eye" on the bigger picture outweighs over-focusing on either part alone. In Nature, these "parts" are NOT separated! As before, the "discovery" phase of this work follows a loose chronological order. The storyline actually helps to see how the BIM reveals itself, little by little, by following its leads — bits of information acting like bread crumbs pointing to a path of even greater clarity — via greater detail!

      The HTML Canvas feature has been extensively utilized to tell this story in a sequential series of interactive images and forms the outline basis of TPISC IV: Details. Along with additional images, animations, tables and charts, reference will be made to this interactive page: Page 42: TPISC III: Clarity & Simplification and TPISC IV: Details (~ A MathspeedST Supplement~).

      This is an interactive graphics page on the BIM and BIMtree_AREAS —bridgingTPISC I, II, and III with TPISC IV: Details. Each canvas may be interactively deconstructed to see how the geometric components are related. Simply refresh the page to start over. A great learning and teaching resource.

      Please keep this in mind: The quantum universe begs the question: what is the quantum?

      Perhaps we can say the basic pulse-propagation of ST from its singularity — a singularity connected to the larger pool of all singularities by the Conservation of Energy — out into full spacetime extension, and back, is the fundamental quantum. The ST so formed has articulation points, nodes of structural formation made by the embedded Pythagorean Triples. These nodes are also quantized as they both are dependent upon the unfolding Inverse Square Law-based ST, and they have distinct vector parameters inherently built into their asymmetric forms. They have both magnitude and direction — and as vectors their net expression can be the result of the total added or subtracted interfering ST units. The fact that every primitive PT comes in both its parent PPT form as well as its child nPPT form provides a built in fractal-like structure, that, when combined with the fact that each and every PT — PPT and nPPT — has 4 iterations of expression within the unfolding ST unit pulse-propagation, and we we now have a fractal-based, holographic quantum universe(s)!

      SEE Page 50 (below) for spreadsheets: BIM: How to Make.

      SEE Page 51 (below) for Big OUTLINE: Big OUTLINE.


    • Page 47:    TPISC IV: Details: DSEQEC (Double-Slit Experiment — Quantum Entanglement Conjecture (Part I of II)    TPISC III: Clarity & Simplification and TPISC IV: Details: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) Interactive Graphics on BIM & BIMtree AREAS..


      Open letter addressing the "ER=EPR" work of Leonard Susskind, Juan Maldacena, and Mark Van Raamsdonk, …

      The quantum universe begs the question: what is the quantum?

      Perhaps we can say the basic pulse-propagation of ST from its singularity — a singularity connected to the larger pool of all singularities by the Conservation of Energy — out into full spacetime extension, and back, is the fundamental quantum. The ST so formed has articulation points, nodes of structural formation made by the embedded Pythagorean Triples. These nodes are also quantized as they both are dependent upon the unfolding Inverse Square Law-based ST, and they have distinct vector parameters inherently built into their asymmetric forms. They have both magnitude and direction — and as vectors their net expression can be the result of the total added or subtracted interfering ST units. The fact that every primitive PT comes in both its parent PPT form as well as its child nPPT form provides a built in fractal-like structure, that, when combined with the fact that each and every PT — PPT and nPPT — has 4 iterations of expression within the unfolding ST unit pulse-propagation, and we we now have a fractal-based, holographic quantum universe(s)!

      Such profound harmony of form naturally begs the question: to what effect?

      Several conjectures come to mind:

      1. Would not the fractal-nodes of the PTs lead to structural articulation points along the expanding ST that would allow the geometry of the Squares to be enhanced by the embedded geometry of the non-Square Rectangles holding these PTs?
      2. Would not these same fractal-nodes of the PTs be internal, integral and identifying structural parameters (Quantum State Numbers) of any wave-particle ST unit formed?
      3. Would not the immensely inter-connecting linkage of the PTs, between the PTs and between the PTs and the BIM itself, provide the very basis of the wave-particle duality and entanglement phenomenon we see in the *Double-Slit Experiment and the Quantum Entanglement (DSEQEConjecture) that lies at the core of our understanding the Quantum Universe?

      The ER = EPR conjecture is a very interesting insight into the joining of quantum mechanics with quantum gravity through the geometry of spacetime.

      What is needed is the other, complementary side that seals the deal: any entanglement of spacetime (ST) and ST units/particles, i.e. photons, gravitons, Higgs Bosons,... must reckon with:

      1. ST itself is formed in such a way that it obeys the Inverse Square Law (ISL), is always consistent with the Conservation of Energy, and its very formation must be one and the same with the formation of its progeny ST units and the built-in velocity of light, c;
      2. ST itself, and thus its ST progeny, must be conserved;
      3. ST itself, and thus it ST progeny, must be fully accountable for all intricacies of the Double-Slit Experiment.

      SEE Page 49 (below) for Part II of II CaCoST - DSEQEC.

      SEE Page 50 (below) for spreadsheets: BIM: How to Make.


    • Page 46:    TPISC IV: Details: A special connection between the BBS-ISL Matrix (BIM) + Primitive Pythagorean Triples + the PRIMES.     This is a supplemental page to Page 42: above:    TPISC III: Clarity & Simplification and TPISC IV: Details: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) Interactive Graphics on BIM & BIMtree AREAS..


      NEW! Connections between:

      • 1. BIM (BBS-ISL Matrix) + PPTs (Primitive Pythagorean Triples);
      • 2. BIM (BBS-ISL Matrix) + PRIMES;
      • 3. PRIMES + PPTs (Primitive Pythagorean Triples);

      Here's the thing. Amongst a myriad of other connections, there exist an intimate connection between three number systems:

      • 1. The ISL as laid out in the BIM;
      • 2. PTs — and most especially PPTs — as laid out on the BIM;
      • 3. The PRIME numbers — PRIMES — as laid out on the BIM.

      The BIM is the FIXED GRID numerical array of the ISL.

      Amongst its vast array of inter-connecting Number Pattern Sequences (NPS) — i.e., number systems — two such systems stick out and do so in such an overtly visual — as well as mathematical — way that their connection to each other is more than implied.

      You see, both the PPTs and PRIMES strictly align themselves on the SAME paths within the BIM.

      SEE Page 52 (below) for the UPDATE:PRIMES_vs_NO-PRIMES.
      SEE Page 53 (below) for the SUMMARY: Simple Path: BIM-PRIMES.




    • Page 45:    TPISC IV: Details: A closer look on #2 below: A special connection between the BBS-ISL Matrix + Pythagorean Triples + axial DNA decagon (double pentagonal) geometry. Here is the supplemental page to Page 44 above: "Phi (ϕ), Fibonacci, Pentagon Connections to the PTs (~ A MathspeedST Supplement~) .".



      NEW! Connections between:

      • 1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples);
      • 2. PT + Pentagon & Decagon (double pentagon of DNA);
      • 3. BIM + PT + DNA;
      • 4. BIM + PT + DNA + Zika Virus (cryo-em imagery).

      Here we continue with TPISC IV: The Pythagorean - Inverse Square Connection: Details. A special connection between the BBS-ISL Matrix + Pythagorean Triples + axial DNA decagon (double pentagonal) geometry was the topic of the previous white paper (Page 44).

       

      The bottom of that page linked to the resource links and comments page on "Phi (ϕ), Fibonacci, Pentagon Connections to the PTs" — a page so full of information that it has been referenced here as its own white paper entry (Page 45). Referenced here is the long history relating phi, the golden ratio, the Fibonacci numbers, Kepler Triangle, Pythagorean Theorem, and the pentagonal geometry of the dodecahedron and icosahedron of the Platonic Solids.

       

      Because the Pythagorean Triples have a strong tie in with the Fibonacci numbers, and thus phi and the pentagons, they, too, are part of this interconnection between the transcendental irrational numbers of the universal constants and the natural, whole integer numbers of the Pythagorean Triples and the Inverse Square Law.

       

      Much to see here!




    • Page 44:    TPISC IV: Details: A closer look on #2 below: A special connection between the BBS-ISL Matrix + Pythagorean Triples + axial DNA decagon (double pentagonal) geometry (~ A MathspeedST Supplement~) ..



      NEW! Connections between:

      • 1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples);
      • 2. PT + Pentagon & Decagon (double pentagon of DNA);
      • 3. BIM + PT + DNA;
      • 4. BIM + PT + DNA + Zika Virus (cryo-em imagery).

      Here we continue with TPISC IV: The Pythagorean - Inverse Square Connection: Details. This time looking for a connection between the 3-4-5 Pythagorean Triple and the concentric, decagons (double pentagons) that form the geometric structure of the DNA double-helix molecule as viewed down its axis composited from 1 full, 360 degree spiral. While emphatically NOT AN EXACT MATCH, the 3-4-5 PT is ridiculously close to being an exact match both from the the angles of a given pentagon to that of the decagon and most especially connecting key angles and vertices between the concentric decagons. In 2001, I wrote up "GoDNA: the Geometry of DNA (axial view)," and, "SCoDNA: Structure & Chemistry of DNA" about the pure double-pentagon (decagon) geometry of the double-helix molecule. It includes a DNA Master Chart that specifically relates the concentric decagons.




    • Page 43b:    TPISC IV: Details: A special connection between the BBS-ISL Matrix + Pythagorean Triples + axial DNA decagon + Epstein-Barr virus pentagonal geometry (~ A MathspeedST Supplement~) ..



      NEW! Connections between:

      • 1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples);
      • 2. PT + Pentagon & Decagon (double pentagon of DNA);
      • 3. BIM + PT + DNA;
      • 4. BIM + PT + DNA + Zika Virus and Epstein-Barr Virus + many more (cryo-em imagery).

      It is suggested that the pentagonal geometry of the Epstein-Barr virus allows it to insert itself within the decagonal geometry of our DNA, perhaps spiraling in along the DNA double-helical axis, looking for a simple match opening! The majority of human viruses display icosahedral pentameter geometry on their capsid surface.




    • Page 43a:     TPISC IV: Details: (~ A MathspeedST Supplement~) BIM + PT + DNA + Zika Virus.

      "BIMBBS-ISL Matrix — is the geometry defining SpaceTime!"



      NEW! Connections between:

      • 1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples);
      • 2. PT + Pentagon & Decagon (double pentagon of DNA);
      • 3. BIM + PT + DNA;
      • 4. BIM + PT + DNA + Zika Virus (cryo-em imagery).

      It is suggested that the pentagonal geometry of the Zika virus allows it to insert itself within the decagonal geometry of our DNA, perhaps spiraling in along the DNA double-helical axis, looking for a simple match opening!





    • Page 42:     TPISC III: Clarity & Simplification and TPISC IV: Details: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) Interactive Graphics on BIM & BIMtree AREAS.

      "BIMBBS-ISL Matrix — is the geometry defining SpaceTime!"

      eBooks:
      MathspeedST: Leapfrogging Lightspeed FASTER than The Speed of Light

      The MathspeedST Supplements:
      - TPISC I: Basics
      - TPISC II: Advanced
      - TPISC III: Clarity & Simplification (ToPPT)
      - TPISC IV: Details (coming)
      - TPISC V: Exponentials (coming)

      This is an interactive graphics page on the BIM and BIMtree_AREAS — bridging TPISC I, II, and III with TPISC IV: Details. Each canvas may be interactively deconstructed to see how the geometric components are related. Simply refresh the page to start over. A great learning and teaching resource.

      Excerpt From: Reginald Brooks. "TPISC_III-Clarity...." eBooks.



    • 2017-
    • Page 41:    TPISC III: Clarity & Simplification: Tree of Primitive Pythagorean Triples (ToPPT) (~ A MathspeedST Supplement~) eBook.

      eBook

      1 banana, 2 banana, 3 banana, 4… and there's so much more!

      A simple curiosity on how even simpler Whole Integer Numbers (WINs), when squared, form a law that rules the Universe — indeed, SpaceTime (ST) itself — has been a source of awe and wonder for quite some time. This is the Inverse Square Law (ISL).

      The "inverse" means it's per area. When the WINs are squared, you get the area.

      The forms and forces of Nature obey the ISL. The initial concentration of an impulse or influence of energy dissipates in a known manner as it expands out from its source. A wonderful and ubiquitous law in forming the ST that builds the Universe. And it doesn't even need to travel to get there...°it is known!

      Now, on top of this beautiful law and all the magnificent forms and expressions it can offer, comes yet another sublimely beautiful law — or theorem — that also relates areas to significant form — the Pythagorean Theorem: the long, hypotenuse side squared = the sum of the two squared shorter sides of a 90°-right triangle.

      When these triangles are made solely of WINs, we have Pythagorean Triples (PTs).

      The PTs are a major subset of the ISL and as such are both infinite in number and ubiquitous in distribution along with the ISL. Their structural beauty lies in the fractal-nodes of slight asymmetry they give to the expanding expression of the ISL. They give new forms!

      Not only can these PT fractals be located throughout the BBS-ISL Matrix, together they form a linked structure relating all the parts to the whole, in the form the Tree of Primitive Pythagorean Triples (ToPPT).

      This clarity and simplification of form has become the focus of this work. The non-isosceles right triangles, rectangles and ovals of the ToPPT join with the isosceles right triangles, squares and circles of the ISL to generate our ST Universe — giving expression to the Universal mathematical constructs.

      3 potato, 4 potato, 5 potato squared...

      "BIMBBS-ISL Matrix — is the geometry defining SpaceTime!"

      MathspeedST: Leapfrogging Lightspeed FASTER than The Speed of Light

      The MathspeedST Supplements:
      - TPISC I: Basics
      - TPISC II: Advanced
      - TPISC III: Clarity & Simplification (ToPPT)
      - TPISC IV: Details (coming)
      - TPISC V: Exponentials (coming)

      This is a multi-touch, interactive ebook made with iBooks Author and published in the Apple iBooks Store.

      Excerpt From: Reginald Brooks. "TPISC_III-Clarity...." eBook.



      INTRO to TPISC I: Basics Intro overview (see below, 2014)
      TPISC I: Basics (white paper, see below, 2014),
      and now, TPISC II: Advanced (this 2015 iBook)

      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.

      What is so amazing about the BBS-ISL matrix?

      If you scan each Row/Column, only some have squared numbers. If they do, the squared numbers always come in pair-sets. In every case, those square number pair-sets are the AREAS of the two shorter sides ("a" and "b") of a Pythagorean Triple triangle. The longer hypotenuse (c) AREA is located on the Prime Diagonal — the diagonal line dividing the matrix grid evenly into two symmetrical halves!

      This is their story, now with all the advanced findings.



      2014-
    • "TPISC: The Pythagorean — Inverse Square Connection: Basics ~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 two parts to TPISC: The Pythagorean — Inverse Square Connection ~A MathspeedST Supplement~:

      INTRO to TPISC (This Overview)
      TPISC (white paper)

      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.

      What is so amazing about the BBS-ISL matrix?

      If you scan each Row/Column, only some have squared numbers. If they do, the squared numbers always come in pair-sets. In every case, those square number pair-sets are the AREAS of the two shorter sides ("a" and "b") of a Pythagorean Triple triangle. The longer hypotenuse (c) AREA is located on the Prime Diagonal — the diagonal line dividing the matrix grid evenly into two symmetrical halves!

      This is their story.


    • "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 8+-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

    • "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.

    • "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)"

      2009-
    • "Brooks (Base) Square (BS): The Architecture of Space-Time (TAOST) and The Conspicuous Absence of Primes (TCAOP) - a brief introduction to the series"
      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 (BBS).

    • "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) in the fractal Universe~

    • "Quantum Gravity ...by the book" ~merging Quantum Mechanics with Gravity

      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. 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.

      2004-
    • "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.
    • "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
    • "Fundamental Constants of Nature: Ratios", paper, self-published
    • "Fundamental Constants of Nature: Charge", paper, self-published
    • "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
    • "Expose on Music, Color and the Inverse Square Law", paper, self-published

      1985-(Online 2008)
    • "L.U.F.E.: The Layman’s Unified Field Expose" (a visual guide), textbook-manuscript, self-published


R E S U M É


Education

1970- BS General Science, Oregon State University
1972- MS Cell Biology-incomplete, OSU
1973- MT(ASCP) Medical Technology, Good Samaritan Hospital & Medical Center,               Portland, OR
1973-
1978- Medical Research Specialist, Good Samaritan Hospital & Medical Center,               Portland, OR
1998-
present- New Media=digital tools + IT + the internet

Solo Exhibitions

2008- Lara Sydney Framing Gallery, Portland, OR
2007- Urban Wineworks Gallery, Portland, OR
2007- Lara Sydney Framing Gallery, Portland, OR (2-Person Show)
2005- Lara Sydney Framing Gallery, Portland, OR
2001- Lara Sydney Custom Framing Gallery, Portland, OR
1997- Montage Gallery, Portland, OR
1996- American Institute of Architects/ Portland Chapter, Portland, OR
1996- Montage Gallery, Portland, OR
1995- Montage Gallery, Portland, OR
1992- Zero Square Gallery, Portland, OR
1989- Oregon Graduate Center, Hillsboro, OR
1989- Portland Community College, Rock Creek, OR
1988- Beaverton City Hall, Beaverton, OR
1987- Mt. Hood Community College, Gresham, OR
1987- Beaverton City Hall, Beaverton, OR
1987- Beaverton Chamber of Commerce, Beaverton, OR

Rhizome Portfolio/*ArtBase

2015- "Metamorphosis: Three States Of Being: PAST-PRESENT-FUTURE"
2015- "The TPISC — MathspeedST — BBS-ISL Matrix Media Center"
2015- "Joshua Tree Series Movie ~ Color Studies ~ The Evolution of Form ~ The Rhythmic Pattern of Numbers ~"
2014- "TPISC: INTRO to The Pythagorean — Inverse Square Connection ~A MathspeedST Supplement~"
2014- "MathspeedST: The Ubiquitous Information of Numbers"
2013- *"Your sFace or Mine? Anonymity"
2013- "LightspeedST: LeapFrogging @ The Speed of Light"
2012- "AFPOP: A Fresh Piece of Pi(e)...and the √2, too...Fractal - Fractal - Fractal"
2012- "Sunspots and Solar Flares"
2011- "Brooks (Base) Square (BBS) interactive matrix: Basic (Part I)"
2010- "Brooks (Base) Square & The Inverse Square Law (ISL)"
2010- "The Geometry of Music Color"
2006- "Butterfly Primes"
2004- *"Your sFace or Mine?"
2003- *"Naughty Physics (a.k.a. The LUFE Matrix)
2002- *"HeyUfunknwithmyDNA?"
2001- *"RealSurReal...aClone, 2001"

Group Exhibitions (select, nonprofit org.)

2020- "CoCA's Members Show '20/20 Vision,'”CoCA, Seattle, WA
2020- "California Habitat: Flora and Fauna,'” Palos Verdes Art Center, Rancho Palos Verdes, CA
2019- "CoCA's Members Show 'Motherland,'” digital exhibition, Seattle, WA
2018- "Future Artifact" (part of Creative Tech Week, NYC), Plexus Projects, Brooklyn, NY
2018- "ArtWorks NW2018," Umpqua Valley Arts Association, Roseburg, OR
2018- "CoCA's Members Show 'Creativity Persists,'” digital exhibition, Seattle, WA
2018- "Left Coast Annual Juried Exhibition," Sanchez Art Center, Pacifica, CA
2018- "8th Annual Juried Exhibition, 'Human/Nature'," Gallery 110, Seattle, WA
2017- Shoreline City Hall Gallery, "Beyond the Picture Plane (AR)," Shoreline, WA
2016- ArtWorks NW, Umpqua Valley Arts Association, Roseburg, OR
2016- "CoCA's Member Show 'CoCA 35 Live,'" digital exhibition, Seattle, WA
2015- "ArtWorks NW", Umpqua Valley Arts Association, Roseburg, OR (1st Place Juror's Award)
2014- "CoCA's Member Show 'Who Are You?,'"CoCA, Seattle Design Center, Seattle, WA
2014- "Left Coast Annual Juried Exhibition," Sanchez Art Center, Pacifica, CA
2013- "CoCA's Member Show 'Collisions,'"CoCA, Seattle Design Center, Seattle, WA
2012- "30th Annual Visual Arts Showcase 2012," Beaverton Arts Commission, Beaverton, OR
2012- "CoCA's Members Show," CoCA, Seattle Design Center, Seattle, WA
2012- Rhizome ArtBase, http://rhizome.org, "AFPOP: A Fresh Piece of Pi(e)...and the √2, too...Fractal - Fractal - Fractal," New York, NY
2012- Rhizome ArtBase, http://rhizome.org, "Sunspots and Solar Flares," New York, NY
2011- "29th Annual Visual Arts Showcase 2011," Beaverton Arts Commission, Beaverton, OR
2011- Rhizome ArtBase, http://rhizome.org, "Brooks (Base) Square (BBS) interactive matrix: Basic (Part I)," New York, NY
2011- Carkeek Park Outdoor Art Exhibit, "Heaven and Earth 3: Cycles of Return,"
         CoCA, Seattle, WA
2011- Maude Kerns Art Center, "Oregon Made For Interiors," Eugene, OR
2010- Rhizome ArtBase, http://rhizome.org, "Brooks (Base) Square & The Inverse
        Square Law (ISL)," New York, NY
2010- Rhizome ArtBase, http://rhizome.org, "The Geometry of Music Color," New
        York, NY
2009- "Netart Features 2009," JavaMuseum, Cologne, Germany
2009- "27th Annual Visual Arts Showcase 2009," Beaverton Arts Commission,
          Beaverton, OR
2008- "26th Annual Visual Arts Showcase 2008," Beaverton Arts Commission, Beaverton, OR
2008- "Hollywould," 2008 Freewaves 11th Festival of Experimental Media Art,
          Hollywood, CA
2008- "Welcome the Rain Sculpture Contest," 1st Place Winner, East Multnomah
          County Soil & Water Conservation District, Portland, OR
2008- "All-Oregon Art Annual," Professional, juried, Oregon State Fair, Salem, OR
2007- "11th Int'l Conference on Information Visualization (IV07)," July 3-7,
           Swiss Federal Institute of Technology, Zurich, Switzerland, DART gallery
2007- "4th Int'l Conference Computer Graphics, Imaging and Visualization (CGIV07),"
           August 14-17, KMUTT, Bangkok, Thailand, DART gallery
2007- "Pacific Northwest Art Annual 2007", Cultural Forum, U. of Oregon, Eugene, OR
2007- 2006 "[10th] Japan Media Arts Festival," Tokyo Metropolitan Museum of
           Photography, Feb 24-Mar4, 2007
2007- "Allegories of the Genome," Vancouver, BC, Canada-online gallery-
          http://www.genomic-art.com/
2006- Rhizome ArtBase, http://rhizome.org, "Butterfly Primes...Prejudicial Numbers," New York, NY
2006- "10th Int'l Conference on Information Visualization (IV06)," July 4-7,
           University of London, London, England, DART gallery
2006- Int'l Conference Computer Graphics, Imaging and Visualization (CGIV06),
           July 25-28, Sydney, Australia, DART gallery
2006- "ARTIFICIAL A.GENDER?" new media online exhibition:tba
2004- Eurographics 2004, Art Show "Art and Science", Grenoble, France, 30 Aug -
           3 September, 2004
2004- Rhizome ArtBase, http://rhizome.org, "Your sFace or Mine?," NY, NY
2004- "21 Years of Studios," Cathedral Park Place (invitational), Portland, OR
2003- Rhizome ArtBase, http://rhizome.org, "naughty physics (a.k.a. The LUFE
          Matrix)," NY, NY
2002- "Bellevue Sculpture Exhibition 2002," City of Bellevue, WA
2002- Rhizome ArtBase, http://rhizome.org, "Hey! U funk'n with my DNA?," NY, NY
2002- "Net.Art," The Irish Museum of Modern Art,
          http://www.irishmuseumofmodernart.com
2002- "20th Annual Visual Arts Showcase 2002," Beaverton Arts Commission,
          Beaverton, OR
2001- "Net_Working," net.art, CHArt conference and Watershed Digital Cafe, Bristol,
          UK www.watershed.co.uk/Net_Working
2001- "FILE_2001 (Electronic Language International Festival)," net.art, Museu da
          Imagem e do Som,Sao Paulo, Brazil, August 7th-September 2nd, 2001.
          Online all year at: http://www.file.org.br
2001- Rhizome ArtBase, http://rhizome.org, "RealSurReal...aClone, 2001", NY, NY
2000- PICA, "Open Walls" (unjuried), Portland, OR
1997- "Beaverton Showcase '97," Beaverton Arts Commission, Beaverton, OR
1996- "Beaverton Showcase '96," Beaverton Arts Commission, Beaverton, OR
1995- Maude Kerns Art Center, "5th Sculpture Biennial", Eugene, OR
1995- Maude Kerns Art Center, "Women's Art Triennial," Eugene, OR
1994- "Beaverton Showcase '94," Beaverton Arts Commission, Beaverton, OR
1993- Maude Kerns Art Center, "The Silent Child, Art as Healing", Eugene, OR
1992- Kinsey Gallery, Seattle University, Seattle, WA
1991- A.I.R. Gallery, "Choice"(unjuried)," New York, NY
1989- Maude Kerns Art Center, "Icons and Idols, A Celebration of Ceremony,"           Eugene, OR
1989- Justice Center Sidewalk Gallery, Portland, OR
1988- Newport Visual Arts Center, "Nuclear Visions," OCCA, Newport, OR
1988- "Beaverton Showcase '88," Beaverton Arts Commission, Beaverton, OR
1988- "Annual Juried Art Show," Umpqua Community College, Roseburg, OR
1987- "Beaverton Showcase '87," Beaverton Arts Commission, Beaverton, OR
1987- "17th Annual Willamette Valley Exhibition," Corvallis Art Center, Corvallis, OR
1986- Northwest Artist's Workshop, "On the Job," Portland, OR
1986- "Beaverton Showcase '86," Beaverton Arts Commission, Beaverton, OR
1985- Germanow Art Gallery, "Current Visions '85," JCC, Rochester, NY
1983- Northwest Artist's Workshop, "Description/ Portrayal" (Invitational), Portland,           OR
1983- PCVA, "Public Hanging" (unjuried), Portland, OR
1983- Arrowmont School of Arts & Crafts, "The Figure: New Form, New Function,"
          Gatlinburg, TN
1983- "1st Annual Sherbrooke Int'l Painting Salon," Sherbrooke, Quebec, Canada
1981- PCVA, "Public Hanging" (unjuried), Portland, OR
1978- Northwest Artist's Workshop, "Salon de Refuses" (unjuried), Portland, OR

Past solo show theme titles (Paintings and sculpture):

"~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

Publication/Presentation:

"The Geometry of Music, Art and Structure...linking the esthetics of Art and Science" at the 8th ICECGDG (International Conference on Engineering Design Graphics and Descriptive Geometry, sponsored by the International Society for Geometry and Graphics, the Japan Society for Graphic Science, and the Engineering Design Graphics Division of the American Society for Engineering Education; hosted by the College of Engineering, The University of Texas at Austin).1998.
Published in the Proceedings of the 8th ICECGDG, Vol. 2, pg 378, ISGG, Tokyo, Japan, 1998

   
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