rbrooksdesign

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"DMT_22," digital + acrylic, April 24, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

Row 1 = Butterfly Fractal 1 = BF1 = simple doubling of quantity, starting with 1.

Pick a number, say 8. What are its divisors? 1-2-4-8.

Pick another number, say 10. Divisors? 5-10 and 1-2. Why? You must match BF1 values with #.

Pick number 20. Divisors? 5-10-20 and 1-2-4. Notice the cross symmetry!

Pick # 40. Divisors? 5-10-20-40 and 1-2-4-8.

Pick # 80. Divisors? 5-10-20-40-80 and 1-2-4-8-16.

Pick #72. Divisors? 9-18-36-72 and 3-6-12-24 and 1-2-4-6. Why the extra middle Row? If the # Row divides down to a composite ODD, you include the divisor's Row(s) factors in the tally.

ODD number divisors are different: Primes have only 1 and themselves, composites are made of Primes, so we grab them individually out of the ODDs Column.

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[rbrooksdesign]

"DMT_21," digital + acrylic, April 23, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #primes #fractals #geometry #mathematics #b&w #butterfly fractal 1 #exponentials #perfect numbers #number theory #math #graphics #archives #bim #mersenne prime squares #divisors

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"DMT_20," digital +vacrylic, April 22, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

If you accept the 1st fractal Row -- 1-2-4-8-16... -- then nothing is gained by doubling it. There are no new numbers.

If you triple it -- multiply the whole Row by 3 -- forming the 2nd fractal Row, you get 3-6-12-24-48.... Again, multiplying the 1st Row by 4 yields no new numbers.

If you multiply it by 5 -- multiply the whole Row by 5 -- forming the 3rd fractal Row, you get 5-10-20-40-80.... And so on.

Multiplying the 1st fractal Row by each of the ODD number sequence values in the 1st Column fills out the entire DMT and within it are found ALL the natural whole numbers and ALL their divisors.

#rbrooksdesign #digital art #color #primes #mathematics #geometry #fractals #divisors #math #butterfly fractal 1 #exponentials #perfect numbers #number theory #graphics #archives #bim

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"DMT_19," digital + acrylic, April 21, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #color #primes #mathematics #geometry #fractals #perfect numbers #exponentials #number theory #butterfly fractal 1 #mersenne prime squares #math #divisors #graphics #archives #bim

[rbrooksdesign]

"DMT_18," digital + acrylic, April 20, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #color #math #geometry #primes #fractals #exponentials #perfect numbers #number theory #mathematics #butterfly fractal 1 #mersenne prime squares #divisors #graphics #archives #bim

[rbrooksdesign]

"DMT_17,"digital + acrylic, April 19, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #color #geometry #mathematics #primes #fractals #exponentials #perfect numbers #mersenne prime squares #number theory #math #butterfly fractal 1 #graphics #archives #divisors #bim

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"DMT_16," digital + acrylic, April 18, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #color #bob dylan #fractals #primes #exponentials #perfect numbers #geometry #mathematics #number theory #mersenne prime squares #butterfly fractal 1 #math #graphics #archives #bim #divisors

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"DMT_15," digital + acrylic, April 17, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #geometry #digital art #color #primes #fractals #mathematics #exponentials #perfect numbers #number theory #math #graphics #butterfly fractal 1 #mersenne prime squares #divisors #archives #bim

[rbrooksdesign]

"DMT_14," digital + acrylic, April 16, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

More here___

#rbrooksdesign #digital art #color #mathematics #primes #geometry #fractals #exponentials #perfect numbers #math #number theory #butterfly fractal 1 #graphics #mersenne prime squares #divisors #bim #archives

[rbrooksdesign]

"DMT_13," digital + acrylic, April 15, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #geometry #primes #fractals #exponentials #butterfly fractal 1 #mathematics #perfect numbers #mersenne prime squares #number theory #graphics #math #archives #bim #color

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"DMT_12," digital + acrylic, April 14, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #mathematics #geometry #primes #fractals #exponentials #perfect numbers #number theory #butterfly fractal 1 #graphics #math #archives #bim

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"DMT_11," digital+ acrylic, April 13, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

Just like with the Butterfly Fractal 1 (BF1), we are going to double everything, starting with Column 1 of the ODDs to give us Column 2 -- the first iterations of the EVENs.

What is special about the Col. 2 EVENs is that none of them are divisible by 4, and are called EVENs-NOT÷4.

Doubling Col. 2 gives Col. 3-- the second iteration of the EVENs, and this group ALL are divisible by 4 and are called EVENs÷4.

So far we have Columns 1-2-3 as ODDs--EVENs-NOT÷4--EVENs÷4. That's as complicated as it gets! (Well, not really. Let's just say it gets richer and richer!)

Notice that Row 1 is revealing our old friend the BF1 -- 1-2-4-...

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#rbrooksdesign #digital art #bim #geometry #mathematics #primes #b&w #fractals #perfect numbers #number theory #exponentials #butterfly fractal 1 #archives #math #graphics

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"DMT_10," digital + acrylic, April 12, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #mathematics #geometry #primes #perfect numbers #color #fractals #number theory #exponentials #butterfly fractal 1 #graphics #math #archives #bim

[rbrooksdesign]

"DMT_9" digital + acrylic, April 11, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #graphics #mathematics #geometry #primes #fractals #perfect numbers #exponentials #number theory #butterfly fractal 1 #math #archives #mersenne prime squares #color

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"DMT_8," digital + acrylic, April 10, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

Double your pleasure, double your fun

This matrix table has just begun!

#rbrooksdesign #digital art #mathematics #geometry #primes #fractals #exponentials #perfect numbers #mersenne prime squares #number theory #butterfly fractal 1 #color #math #graphics #archives #bim

[rbrooksdesign]

"DMT_7," digital re-working of acrylic, April 9, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

So far we have Columns 1-2-3... as ODDs--EVENs-NOT÷4--EVENs÷4. That's as complicated as it gets! (Well, not really. Let's just say it gets richer and richer!)

Notice that Row 1 is revealing our old friend the BF1 -- 1-2-4-...

Doubling Col. 2 gives Col. 3, doubling that Col. 4, doubling that Col. 5, and so on. ALL of these latter Columns are EVENs÷4.

More here___

#rbrooksdesign #digital art #mathematics #geometry #graphics #primes #fractals #butterfly fractal 1 #perfect numbers #exponentials #number theory #mersenne prime squares #math #archives #bim

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"DMT_6," digitally re-worked acrylic, April 8, 2024, Reginald Brooks

DMT = Divisor (Factor) Matrix Table

#rbrooksdesign #digital art #b&w #graphics #geometry #mathematics #primes #fractals #butterfly fractal 1 #perfect numbers #number theory #exponentials #mersenne prime squares #math #archives #bim