"DMT_24," digital + acrylic, April 26, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
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"DMT_24," digital + acrylic, April 26, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_23," digital + acrylic, April 25, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
Fractal entanglement is inescapable.
"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.
More here___
"DMT_21," digital + acrylic, April 23, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"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.
"DMT_19," digital + acrylic, April 21, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_18," digital + acrylic, April 20, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_17,"digital + acrylic, April 19, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_16," digital + acrylic, April 18, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_15," digital + acrylic, April 17, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_14," digital + acrylic, April 16, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
More here___
"DMT_13," digital + acrylic, April 15, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_12," digital + acrylic, April 14, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"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-...
More here___
"DMT_10," digital + acrylic, April 12, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"DMT_9" digital + acrylic, April 11, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
"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!