NOTE: The first 12 images overlap with TPISC IV: Details
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PRIMES vs NO-PRIMES from Reginald Brooks on Vimeo. Composite of the original paintings and digitally filtered variations. CLICK to enlarge.
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"TPISC IV: Details-53"
PRIMES vs NO-PRIMES
"Sublimation Of the Grid, #0"
acrylic on polyethylene
40" x 25"
2019
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"TPISC IV: Details-54"
PRIMES vs NO-PRIMES
"Sublimation Of the Grid, #1"
acrylic on aluminum
48" x 28" x 3"
2019
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"TPISC IV: Details-55"
PRIMES vs NO-PRIMES
"Sublimation Of the Grid, #2"
acrylic on copper
36" x 24"
2019
[ TOP ]
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"TPISC IV: Details-56"
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #3"
acrylic on copper
24" x 36"
2019
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"TPISC IV: Details-57"
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #4"
acrylic on stainless steel
25" x 43" x 1.5"
2019
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"TPISC IV: Details-54"
PRIMES vs NO-PRIMES, and, PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture, composite
"Sublimation Of the Grid, #1-4"
acrylic on aluminum, copper and SS
96" x 88" x 3"
2019
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"TPISC IV: Details-58"
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #5"
acrylic on recycled aluminum scrap
25" x 28" x 3"
2020
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"TPISC IV: Details-59"
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
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"TPISC IV: Details-60"
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #6"
acrylic on recycled aluminum scrap
31" x 34" x 3"
2020
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"TPISC IV: Details-61"
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"Sublimation Of the Grid, #7"
acrylic on polyethylene
40" x 25"
2020
[ TOP ]
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"TPISC IV: Details-62"
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
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"TPISC V: PRIMES -- Details-63" (The Pythagorean — Inverse Square Connection):
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#1"
acrylic and tape on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Details-64" (The Pythagorean—Inverse Square Connection):
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#2"
acrylic and tape on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Details-65" (The Pythagorean—Inverse Square Connection):
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#3"
acrylic and tape on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Details-66" (The Pythagorean—Inverse Square Connection):
PTOP (Periodic Table Of PRIMES) & the Goldbach Conjecture
"#4"
acrylic and tape on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Details-67" (The Pythagorean—Inverse Square Connection):
The MPS Project
(Mersenne Prime Square)
"#1"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-69":
The MPS Project
(Mersenne Prime Square)
"#1"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-70":
The MPS Project
(Mersenne Prime Square)
"#2"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-71":
The MPS Project
(Mersenne Prime Square)
"#3"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-72":
The MPS Project
(Mersenne Prime Square)
"#4"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-73":
The MPS Project
(Mersenne Prime Square)
"#5"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-74":
The MPS Project
(Mersenne Prime Square)
"#6"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-75":
The MPS Project
(Mersenne Prime Square)
"#7"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-76":
The MPS Project
(Mersenne Prime Square)
"#8"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-77":
The MPS Project
(Mersenne Prime Square)
"#9"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-78":
The MPS Project
(Mersenne Prime Square)
"#10"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-79":
The MPS Project
(Mersenne Prime Square)
"#11"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-80":
The MPS Project
(Mersenne Prime Square)
"#12"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-81":
The MPS Project
(Mersenne Prime Square)
"#13"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"TPISC V: PRIMES -- Details-82":
The MPS Project
(Mersenne Prime Square)
"#14"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2021
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"Butterfly Fractal, 2n":
Wall-relief
acrylic on recycled aluminum scrap
39" x 48" x 1"
2022
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"ButterflyFractal_Infinity (Girl With a Yellow Dress)":
Wall-relief
acrylic on recycled aluminum scrap
36" x 48" x 2"
2022
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"TPISC V: PRIMES -- Details-83":
The MPS Project
(Mersenne Prime Square)
"#15"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-84":
The MPS Project
(Mersenne Prime Square)
"#16"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-85":
The MPS Project
(Mersenne Prime Square)
"#17"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-86":
The MPS Project
(Mersenne Prime Square)
"#18"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-87":
The MPS Project
(Mersenne Prime Square)
"#19"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-88":
The MPS Project
(Mersenne Prime Square)
"#20"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-89":
The MPS Project
(Mersenne Prime Square)
"#21"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-90":
The MPS Project
(Mersenne Prime Square)
"#22"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-91":
The MPS Project
(Mersenne Prime Square)
"#23"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC V: PRIMES -- Details-92":
The MPS Project
(Mersenne Prime Square)
"#24"
acrylic and tape on Dura-Lar (polyethylene)
25" x 40"
2022
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"Butterfly Fractal Matrix, 1":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"Butterfly Fractal Matrix, 2":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"Butterfly Fractal Matrix, 3":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"Butterfly Fractal Matrix, 4":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"Composite TPISC V: PRIMES -- Details":
acrylic on Dura-Lar (polyethylene)
25" x 40" each
2022
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"Composite TPISC V: PRIMES -- Details":
acrylic on Dura-Lar (polyethylene)
25" x 40" each
2022
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"Composite TPISC V: PRIMES -- Details":
acrylic on Dura-Lar (polyethylene)
25" x 40" each
2022
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"Composite TPISC V: PRIMES -- Details":
acrylic on Dura-Lar (polyethylene)
40" x 25"" each
2022
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"TPISC V: PRIMES -- "Butterfly Fractal, 2n-1"
acrylic on canvas
59" x 25"
2022
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"TPISC V: PRIMES -- "Butterfly Fractal, 2n-2"
acrylic on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- "Butterfly Fractal, 2n-3"
acrylic on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Running Sums & Exponential Power of 2 ver.1":
acrylic on Dura-Lar (polyethylene)
40" x 25"
2022
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"TPISC V: PRIMES -- Running Sums & Exponential Power of 2":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC_V_BIMMPS_10parameters 1":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC_V_BIMMPS_10parameters 2":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2022
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"TPISC_V_BIMMPS_10parameters 3":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2023
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"TPISC_V_BIMMPS_PTOFBMPPN 1":
acrylic on Dura-Lar (polyethylene)
40" x 25"
2023
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"TPISC_V_BIMMPS_8PN":
acrylic on Dura-Lar (polyethylene)
40" x 25"
2023
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"TPISC_V_BIMMPS_8PN-2":
acrylic on Dura-Lar (polyethylene)
25" x 40"
2023
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"TPISC_V_ButterflyFractal_1-4":
acrylic on Dura-Lar (polyethylene)
40" x 25"
2023
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"Butterfly Fractal 1, No Bars, Please":
Diptych
acrylic on polyethylene canvas
each 80" x 60"
2023
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"Butterfly Fractal 1, No Bars, Please" left:
Diptych
acrylic on polyethylene canvas
each 80" x 60"
2023
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"Butterfly Fractal 1, No Bars, Please" right:
Diptych
acrylic on polyethylene canvas
each 80" x 60"
2023
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"Divisor (Factor) Matrix Table (DMT) 1
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 2
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 3
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 4
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 5
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 6
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 7
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 8
acrylic on Dura-Lar (polyethylene)
14" x 17"
2024
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"Divisor (Factor) Matrix Table (DMT) 9
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 10
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 11
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 12
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 13
acrylic on Dura-Lar (polyethylene)
40" x 25""
2024
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"Divisor (Factor) Matrix Table (DMT) 14
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 15
acrylic on Dura-Lar (polyethylene)
40" x 25""
2024
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"Divisor (Factor) Matrix Table (DMT) 16
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Divisor (Factor) Matrix Table (DMT) 17
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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"Woman_with_28_eyes_arranging_a_large_vase_of_flowers-
acrylic on Dura-Lar (polyethylene)
40" x 25"
2024
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DMT: acrylic & digital paintings from Reginald Brooks on Vimeo.
The Divisor Matrix Table (DMT) is an infinitely expandable multiplication-type matrix table that is generated from the product of its Vertical Axis and Horizontal Axis -- both of which are fractal-like in nature. The table contains ALL the natural whole integer numbers, AND, ALL their divisors.
The top Horizontal Axis--1-2-4-8-16-...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 Axis--1-3-5-7-9-... 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 sub-subset is found that are the Mersenne Prime-Perfect 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 (BBS-ISL Matrix) table, and as the BIM is now seen to be yet another special sub-subset of the DMT, it comes as no surprise that the 10-parameter 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 self-similar, re-iterative 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 where-ever 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, inter-connectedness, 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:
BIM-MPS-10 |
| ...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 (2018-2022. |
paintings index Latest (2015-24+) New (2004-14) Recent (2000-2003) Old (1999 and earlier) 
