STEPS:
Factors: 3, 11—(1,33)
Row: 3 + 11 = 14, 14 ÷ 2 = 7 = Row 7
SIMPLIFICATION:
*The Factor Set that includes 1,X where X = the IG#,
ALWAYS lies on the 1st Parallel Diagonal (3,5,7,..) if ODD;
and,if X=EVEN IG#, it will NOT be on the matrix grid, as 1+EVEN # = ODD #,
e.i. IG# 33, using Factor Set 1,33, resolves to Row 17 Col 16,
while IG# 8 does NOT have a Row/Col presence with Factor Set 1,8 as it does NOT resolve to a whole number.
In the Dickson Method for calculating ALL Pythagorean Triples (PTs), factors, as Paired Factor Sets (s, t), come into play as:
In Exponentials, factors also come into play as Factor Sets (s,t) — useful for finding
the Axis Row and Column locations for any given exponential Xz value on the IG, where X = 1—2–3—… and z = 1—2—3—….
The SIMPLIFICATION method shown above is really:
Furthermore, you can work back in REVERSE, if you know the IG exponential value,:
This ONLY works for Exponential IG #s.
White papers (freely available):
Works on pure mathematics include:
PIN: Pattern in Number…from primes to DNA (2001).
Butterfly Primes series (2005, 2006, 2006.)
GoDNA: the Geometry of DNA (2001)
.GoMAS: The Geometry of Music, Art and Structure…linking science, art and esthetics (1987, 1996, 1998, 2009) with parts II and III (2012).
Brooks (Base) Square (BS): The Architecture of Space-Time (TOAST) and The Conspicuous Absence of Primes (TCAOP) - the complete work (Rules 1–177) (2009, 2010, 2011, 2012).
Brooks (Base) Square interactive (BBSi) Matrix: Part I: Basics (2011, 2013).
The Architecture of SpaceTime (TAOST) as defined by the Brooks (Base) Square Matrix and the Inverse Square Law (ISL) (2011).
Numbers Of Inevitability (2012).
AFPOP: A Fresh Piece of Pi(e)…and the √2, too…Fractal-Fractal-Fractal (2012).
The BBS-ISL Matrix papers, videos, slideshows, etc. all culminated in MathspeedST (2013) an interactive iBook, published in the iTunes iBooks Store. Free. Most of the white papers are freely available.
TPISC I: Basics: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement (2015) an interactive iBook, published in the iTunes iBooks Store. Free. Most of the white papers are freely available.
TPISC II: Advanced: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement (2015) an interactive iBook, published in the iTunes iBooks Store. Most of the white papers are freely available.
TPISC III: Simplification: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement, Return to Basics – and then some (in progress, 2016–17).
BBS-ISL_Matrix10x10_TableRowColHighlight.html
BBS-ISL_Matrix20x20_TableRowColHighlight.html
BBS-ISL_Matrix35x35_TableRowColHighlight.html
BBS-ISL_Matrix35x35-LARGE_TableRowColHighlight.html
BBS-ISL_Matrix50x50-LARGE-Highlight.html
BBS-ISL_Matrix50x50-LARGE.html
BBS-ISL & TPISC Resources at:
MSST-TPISC_resources/netart19.htm
BBS-ISL & TPISC Media Center at:
MediaCenter_MSST-TPISC_resources.html
Interactive Matrix pages at:
Brooks (Base) Square matrix (BBS) interactive BBS-ISL hands-on matrix grids
BBS-ISL_Matrix: Simplified.html
Find Row-Col Axis number of Any IG number:
BBS_FindRow-Col_Any_IG_number.pdf
BBS_FindRow-Col_Any_IG_number.html
Find Row-Col Axis number of Any IG number:
BBS_ToFindRow-ColAnyIGnumber.pdf
BBS_ToFindRow-ColAnyIGnumber.html
BBS_ToFindRow-ColAnyIGnumber-MARP.pdf
BBS-ISL_IGGR_TPISC_fundamental_rules:
BBS-ISL_IGGR_TPISC_rulesMARP.pdf
BBS-ISL_Matrix_Overview Slideshow:
BBS-ISL_Matrix_Overview_MARP.pdf
Simple Visual Guide to making a BBS-ISL Matrix:
Simple Highlight Table Row/Col:
highlightTableRowCol_BBBS-ISL.html
highlightTableRowCol_BBBS-ISL10x.html
highlightTableRowCol_BBBS-ISL20x.html
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