PRIMES vs NOPRIMES from Reginald Brooks on Vimeo. Composite of the original paintings and digitally filtered variations. CLICK to enlarge.



"TPISC IV: Details53" PRIMES vs NOPRIMES
"Sublimation Of the Grid, #0" acrylic on polyethylene 40" x 25" 2019



"TPISC IV: Details54" PRIMES vs NOPRIMES
"Sublimation Of the Grid, #1" acrylic on aluminum 48" x 28" x 3" 2019



"TPISC IV: Details55" PRIMES vs NOPRIMES
"Sublimation Of the Grid, #2" acrylic on copper 36" x 24" 2019 [ TOP ]



"TPISC IV: Details56" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #3" acrylic on copper 24" x 36" 2019



"TPISC IV: Details57" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #4" acrylic on stainless steel 25" x 43" x 1.5" 2019



"TPISC IV: Details54" PRIMES vs NOPRIMES, and, PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture, composite
"Sublimation Of the Grid, #14" acrylic on aluminum, copper and SS 96" x 88" x 3" 2019



"TPISC IV: Details58" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #5" acrylic on recycled aluminum scrap 25" x 28" x 3" 2020



"TPISC IV: Details59" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture rotated 180*
"Sublimation Of the Grid, #5" acrylic on recycled aluminum scrap 25" x 28" x 3" 2020



"TPISC IV: Details60" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #6" acrylic on recycled aluminum scrap 31" x 34" x 3" 2020



"TPISC IV: Details61" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #7" acrylic on polyethylene 40" x 25" 2020 [ TOP ]



"TPISC IV: Details62" PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #8" acrylic on welded, recycled aluminum scrap 24" x 48" x 1" 2020



"TPISC V: PRIMES  Details63" (The Pythagorean — Inverse Square Connection): PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#1" acrylic and tape on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Details64" (The Pythagorean—Inverse Square Connection): PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#2" acrylic and tape on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Details65" (The Pythagorean—Inverse Square Connection): PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#3" acrylic and tape on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Details66" (The Pythagorean—Inverse Square Connection): PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#4" acrylic and tape on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Details67" (The Pythagorean—Inverse Square Connection): The MPS Project (Mersenne Prime Square) "#1" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details69": The MPS Project (Mersenne Prime Square) "#1" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details70": The MPS Project (Mersenne Prime Square) "#2" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details71": The MPS Project (Mersenne Prime Square) "#3" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details72": The MPS Project (Mersenne Prime Square) "#4" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details73": The MPS Project (Mersenne Prime Square) "#5" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details74": The MPS Project (Mersenne Prime Square) "#6" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details75": The MPS Project (Mersenne Prime Square) "#7" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details76": The MPS Project (Mersenne Prime Square) "#8" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details77": The MPS Project (Mersenne Prime Square) "#9" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details78": The MPS Project (Mersenne Prime Square) "#10" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details79": The MPS Project (Mersenne Prime Square) "#11" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details80": The MPS Project (Mersenne Prime Square) "#12" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details81": The MPS Project (Mersenne Prime Square) "#13" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"TPISC V: PRIMES  Details82": The MPS Project (Mersenne Prime Square) "#14" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2021



"Butterfly Fractal, 2^{n}": Wallrelief acrylic on recycled aluminum scrap 39" x 48" x 1" 2022



"ButterflyFractal_Infinity (Girl With a Yellow Dress)": Wallrelief acrylic on recycled aluminum scrap 36" x 48" x 2" 2022



"TPISC V: PRIMES  Details83": The MPS Project (Mersenne Prime Square) "#15" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details84": The MPS Project (Mersenne Prime Square) "#16" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details85": The MPS Project (Mersenne Prime Square) "#17" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details86": The MPS Project (Mersenne Prime Square) "#18" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details87": The MPS Project (Mersenne Prime Square) "#19" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details88": The MPS Project (Mersenne Prime Square) "#20" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details89": The MPS Project (Mersenne Prime Square) "#21" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details90": The MPS Project (Mersenne Prime Square) "#22" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details91": The MPS Project (Mersenne Prime Square) "#23" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"TPISC V: PRIMES  Details92": The MPS Project (Mersenne Prime Square) "#24" acrylic and tape on DuraLar (polyethylene) 25" x 40" 2022



"Butterfly Fractal Matrix, 1": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"Butterfly Fractal Matrix, 2": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"Butterfly Fractal Matrix, 3": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"Butterfly Fractal Matrix, 4": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"Composite TPISC V: PRIMES  Details": acrylic on DuraLar (polyethylene) 25" x 40" each 2022



"Composite TPISC V: PRIMES  Details": acrylic on DuraLar (polyethylene) 25" x 40" each 2022



"Composite TPISC V: PRIMES  Details": acrylic on DuraLar (polyethylene) 25" x 40" each 2022



"Composite TPISC V: PRIMES  Details": acrylic on DuraLar (polyethylene) 40" x 25"" each 2022



"TPISC V: PRIMES  "Butterfly Fractal, 2^{n}1" acrylic on canvas 59" x 25" 2022



"TPISC V: PRIMES  "Butterfly Fractal, 2^{n}2" acrylic on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  "Butterfly Fractal, 2^{n}3" acrylic on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Running Sums & Exponential Power of 2 ver.1": acrylic on DuraLar (polyethylene) 40" x 25" 2022



"TPISC V: PRIMES  Running Sums & Exponential Power of 2": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"TPISC_V_BIMMPS_10parameters 1": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"TPISC_V_BIMMPS_10parameters 2": acrylic on DuraLar (polyethylene) 25" x 40" 2022



"TPISC_V_BIMMPS_10parameters 3": acrylic on DuraLar (polyethylene) 25" x 40" 2023



"TPISC_V_BIMMPS_PTOFBMPPN 1": acrylic on DuraLar (polyethylene) 40" x 25" 2023



"TPISC_V_BIMMPS_8PN": acrylic on DuraLar (polyethylene) 40" x 25" 2023



"TPISC_V_BIMMPS_8PN2": acrylic on DuraLar (polyethylene) 25" x 40" 2023



"TPISC_V_ButterflyFractal_14": acrylic on DuraLar (polyethylene) 40" x 25" 2023



"Butterfly Fractal 1, No Bars, Please": Diptych acrylic on polyethylene canvas each 80" x 60" 2023



"Butterfly Fractal 1, No Bars, Please" left: Diptych acrylic on polyethylene canvas each 80" x 60" 2023



"Butterfly Fractal 1, No Bars, Please" right: Diptych acrylic on polyethylene canvas each 80" x 60" 2023



"Divisor (Factor) Matrix Table (DMT) 1 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 2 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 3 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 4 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 5 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 6 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 7 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 8 acrylic on DuraLar (polyethylene) 14" x 17" 2024



"Divisor (Factor) Matrix Table (DMT) 9 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 10 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 11 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 12 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 13 acrylic on DuraLar (polyethylene) 40" x 25"" 2024



"Divisor (Factor) Matrix Table (DMT) 14 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 15 acrylic on DuraLar (polyethylene) 40" x 25"" 2024



"Divisor (Factor) Matrix Table (DMT) 16 acrylic on DuraLar (polyethylene) 40" x 25" 2024



"Divisor (Factor) Matrix Table (DMT) 17 acrylic on DuraLar (polyethylene) 40" x 25" 2024




"Woman_with_28_eyes_arranging_a_large_vase_of_flowers acrylic on DuraLar (polyethylene) 40" x 25" 2024

DMT: acrylic & digital paintings from Reginald Brooks on Vimeo.
The Divisor Matrix Table (DMT) is an infinitely expandable multiplicationtype matrix table that is generated from the product of its Vertical Axis and Horizontal Axis  both of which are fractallike in nature. The table contains ALL the natural whole integer numbers, AND, ALL their divisors.
The top Horizontal Axis124816...represents the simple doubling of quantity 1 as described by the Exponential Power of 2, 2ⁿ, a.k.a. the Butterfly Fractal 1 (BF1). Every Row below is simply a multiple of that BF1.
The side Vertical Axis13579... represents the ODDs, and every Column is simply a sequential doubling of the one before.
Within the DMT, a subset of BF1 Running Sums (∑) "containers" is found. Within these "containers" a very, very small subsubset is found that are the Mersenne PrimePerfect Number pairings. Each of the 51 known pairings form a similar, scaled up Mersenne Prime Square (MPS). The MPS can be profiled with the 10 parameters that make up its geometry. All of them are present on the DMT when the table values and their ∑s are included.
These have been extensively studied on the BIM (BBSISL Matrix) table, and as the BIM is now seen to be yet another special subsubset of the DMT, it comes as no surprise that the 10parameter MPS for each Mersenne Prime  Perfect Number pairing also appears within the DMT.
A key takeaway is that not only is the DMT based on the selfsimilar, reiterative nature of the fractal, it is itself completely entangled. How so? The relationships between ALL the numbers are fixed, regardless of the size of the table. Fixed and infinitely known. When and whereever the initial quantity 1appears, every other subsequent value within the table is known  and will automatically change if there is any change in the value assigned to quantity 1. That said, and because of the entangled, interconnectedness, if one selects any number within the DMT, every other number is immediately known.
For more, please see the White Paper "Appendix V: MPS_PN_Factors(Divisors)" at:
BIMMPS10 
...link to MAP Index 
...link to TPISC Media Center 
...link to Digital works will be available as Limited Edition Digital Prints 
Part I of II: TPISC V: PRIMES here for paintings in this series (20182022. 