Brooks (Base) Square (BS) 101
~ The Architecture of Space-Time (TAOST)
&
The Conspicuous Absence of Primes (TCAOP) ~
II. TCAOP / B. Brooks Square (BS)
A Brief Introduction
I. TAOST - the network
II. TCAOP - everything minus the network
A. Review of the "Butterfly Primes"
B. Brooks Square (BS)= the new ISL table matrix <--
2. Prime Locator - subtraction
3. Prime Locator - diagonal addition
TAOST: Rules 1-50 | Rules 51-80 | Rules 81-99 | Rules 100-107 | Rules 108-153 | TCAOP: Rule 154 | Rules 155-157 | Rules 158-159 | Rule 160 | Interconnectedness: Rules 161-175 | Appendix A: Rules 176-181 | Appendix B: Rules 182-200 | |
IIB Brooks Square (BS) = the new ISL table matrix (TCAOP)
In the previous Review of the “Butterfly Primes” section, we saw how the convention of the simple multiplication table brought new insights into the nature of the prime numbers and the role of the non-prime numbers around them. Ultimately, they defined each other as negative and positive space are wanton to do.
Brooks (Base) Square has taken a novel approach ... a new path ... in the pursuit of the logic of numbers underlying the Inverse Square Law (ISL). An origin of 0, two perpendicular axes of all whole integer numbers, and their squares along the Prime Diagonal (PD) to start with.
To this was added the 1^{st} Diagonals to either side of the PD. In the Base Square, both 1^{st} Diagonals were the same odd number sequence: (1), 3, 5, 7, .... In the Brooks Square version, the upper 1^{st }Diagonal was switched out to the even counterparts of the of odd numbers, giving: (0), 2, 4, 6, 8, ..... For the most part, Base Square and Brooks Square can be used interchangeably. The designation Brooks (Base) Square is used to remind the viewer of that fact, even when the Brooks Square version is predominantly used. (A further splitting of the hairs is shown in the version numbers: BS 1.00 is the original, pure designation of the Base Square, BS 1,01 (+) is for the Brooks Square version.)
Together, these parts of the matrix table make up the Bare Bones. Nothing really new so far. What is new are the numbers between the Bare Bones ... what we call the Strict Inner Grid (SIG). These non-prime, patterned numbers are the real stuff ... and they are not formed by the usual multiplication table methods. Yes, they are the real stuff ... the positive space underlying the ISL. And as such, they define, expose and reveal ...by their specific absence ... the equally important and real ... prime numbers ... as the negative space ... conspicuous in their absence. The SIG contains both ... the yin and yang.
(To be clear, the slightly looser Inner Grid reference is simply the SIG plus the 1^{st} Diagonal from the PD.)
One of the values of using the Brooks Square (BS 1.01+) version of Brooks (Base) Square is that in having the upper 1^{st }Diagonal of even numbers, we now have two accounting systems for all the whole integer numbers: 1.) Axes; 2.) 1st Diagonals.
The second system is helpful because it divides the whole numbers into two separate diagonal runs, odd and even. In effect, this allows the SIG to be flanked by ALL the whole integer numbers. The SIG is nothing if not a complete networked system of interconnected number patterns. Accounting from the PD and its 1^{st} Diagonals, we can see that the SIG contains all the even numbers except those that are not divisible by four. It also contains all the odd numbers except the primes and the squared prime numbers found on the PD (9, 25, 49, ...). The SIG is the network. The Conspicuous Absence of Primes (TCAOP) is everything implied by the network minus the visible network itself ... it equals the primes.
~click to enlarge image | |
BS 1.00 | Brooks (Base) Square (BS 1.00):Identical to BS 1.01 except for 1st upper diagonal from the Prime Diagonal is ODD, mirroring that of the lower 1st diagonal.. |
TAOST: Rules 1-50 | Rules 51-80 | Rules 81-99 | Rules 100-107 | Rules 108-153 | TCAOP: Rule 154 | Rules 155-157 | Rules 158-159 | Rule 160 | Interconnectedness: Rules 161-175 | Appendix A: Rules 176-181 | Appendix B: Rules 182-200 | |
NEXT: On to
II. TCAOP>IIC. TCAOP=BS-network - Brooks (Base) Square
Back to I. TAOST>IIA. Review of the "Butterfly Primes" - Brooks (Base) Square
Page 2a- PIN: Pattern in Number...from primes to DNA.
Page 2b- PIN: Butterfly Primes...let the beauty seep in..
Page 2c- PIN: Butterfly Prime Directive...metamorphosis.
Page 2d- PIN: Butterfly Prime Determinant Number Array (DNA) ~conspicuous abstinence~.
Page 3- GoDNA: the Geometry of DNA (axial view) revealed.
Page 4- SCoDNA: the Structure and Chemistry of DNA (axial view).
Page 5a- Dark-Dark-Light: Dark Matter = Dark Energy
Page 5b- The History of the Universe in Scalar Graphics
Page 5c- The History of the Universe_update: The Big Void
Page 6a- Geometry- Layout
Page 6b- Geometry- Space Or Time Area (SOTA)
Page 6c- Geometry- Space-Time Interactional Dimensions(STID)
Page 6d- Distillation of SI units into ST dimensions
Page 6e- Distillation of SI quantities into ST dimensions
Page 7- The LUFE Matrix Supplement: Examples and Proofs: Introduction-Layout & Rules
Page 7c- The LUFE Matrix Supplement: References
Page 8a- The LUFE Matrix: Infinite Dimensions
Page 9- The LUFE Matrix:E=mc^{2}
Page 10- Quantum Gravity ...by the book
Page 11- Conservation of SpaceTime
Page 12- LUFE: The Layman's Unified Field Expose`
Page 13- GoMAS: The Geometry of Music, Art and Structure ...linking science, art and esthetics. Part I
Page 14- GoMAS: The Geometry of Music, Art and Structure ...linking science, art and esthetics. Part II
Page 15- Brooks (Base) Square (BS): The Architecture of Space-Time (TAOST) and The Conspicuous Absence of Primes (TCAOP) - a brief introduction to the series
Page 16- Brooks (Base) Square interactive (BBSi) matrix: Part I "BASICS"- a step by step, multi-media interactive
Page 17- The Architecture Of SpaceTime (TAOST) as defined by the Brooks (Base) Square matrix and the Inverse Square Law (ISL).