#toppt

BIMtree — ToPPT

2017-18, Reginald Brooks 

BIM_PT_Pentagons

2018, Reginald Brooks 

BIM + PT + DNA + Zika

2018, Reginald Brooks 

rbrooksdesign:

BIM+PT (2018) Introduction   Reginald Brooks

A very simple Introduction and Review of how to form the BBS-ISL Matrix (BIM), and, how ALL Pythagorean Triples (PTs) are located. It is part of TPISC IV: Details, coming on the heels of:

1 banana, 2 banana, 3 banana, 4 … and there’s so much more!

A simple curiosity on how even simpler Whole Integer Numbers (WINs), when squared, form a law that rules the Universe — indeed, SpaceTime (ST) itself — has been a source of awe and wonder for quite some time.

 This is the Inverse Square Law (ISL).

The “inverse” means it’s per area. When the WINs are squared, you get the area.

The forms and forces of Nature obey the ISL. The initial concentration of an impulse or influence of energy dissipates in a known manner as it expands out from its source. A wonderful and ubiquitous law in forming the ST that builds the Universe. And it doesn’t even need to travel to get there…it is known!

Now, on top of this beautiful law and all the magnificent forms and expressions it can offer, comes yet another sublimely beautiful law — or theorem — that also relates areas to significant form — the Pythagorean Theorem: the long, hypotenuse side squared = the sum of the two squared shorter sides of a 90°-right triangle.

When these triangles are made solely of WINs, we have Pythagorean Triples (PTs).

The PTs are a major subset of the ISL and as such are both infinite in number and ubiquitous in distribution along with the ISL. 

Their structural beauty lies in the fractal-nodes of slight asymmetry they give to the expanding expression of the ISL. They give new forms!

Not only can these PT fractals be located throughout the ISL Matrix, together they form a linked structure relating all the parts to the whole, in the form the Tree of Primitive Pythagorean Triples (ToPPT).

This clarity and simplification of form has become the focus of this (my) work. 

The non-isosceles right triangles, rectangles and ovals of the ToPPT join with the isosceles right triangles, squares and circles of the ISL to generate our ST Universe — giving expression to the Universal mathematical constructs.

3 potato, 4 potato, 5 potato squared …

Please visit brooksdesign-ps.net New Media webpage to see more.

This work is for TPISC III: Clarity and Simplification: The Tree of Primitive Pythagorean Triples (ToPPT), copyright 2017, Reginald Brooks. It comes in html, PDF and iBooks formats.

The Pythagorean — Inverse Square Connection (TPISC) is a series of Supplements to the original MathspeedST work:

TPISC I: Basics 

TPISC II: Advanced

TPISC III: Clarity

TPISC IV: Details (coming)

TPISC V: Exponentials (coming)

There are some 11 videos on MathspeedST: BASICS for TES (Teachers, Educators and Students) on Vimeo.

See links below for more information on the BBS-ISL matrix.

The full version of the BBS-ISL Matrix grid—including visuals on all 200+ Rules can be found on my website at:

An interactive version can be found at: 

Original soundtracks.

Thanks for taking a look! Check out the links to get the full load.

Click HERE for the TPISC — MathspeedST — BBS-ISL Matrix Media Center

BIM + PT + DNA + Zika   

NEW! Connections between:

1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples)

2. PT  +  Pentagon & Decagon (double pentagon of DNA)

3. BIM + PT + DNA

4. BIM + PT + DNA + Zika Virus (cryo-em imagery)

It is suggested that the pentagonal geometry of the virus allows it to insert itself within the decagonal geometry of our DNA, perhaps spiraling in along the DNA double-helical axis, looking for a simple match opening! Talk about “Surrogate Sex!”

See the video: here on Vimeo

See the FULL BIM + PT + DNA + Zika:  here

See more white papers: here 

See more on TPISC: The Pythagorean - Inverse Square Connection: here  

Comment: In pushing for a further connection between pure, elemental natural whole integer numbers and the simple geometry that they inform, I was looking for a straightforward connection between the BIM, the PTs, and the pentagons as the BIM heavily favors the 5 resonance (base 10). 

Waiting in the dentist’s office, I saw the magnificent imagery of the Zika virus as generated from the Nobel Winning cryo-electron micrograph imaging technique right there in the pages of the latest National Geographic. 

The pentagonal structure of the Zika Virus leaped out and rang up all sorts of bells. 

In 2001, I wrote up “GoDNA: the Geometry of DNA (axial view),” and, “SCoDNA: Structure & Chemistry of DNA” about the pure double-pentagon (decagon) geometry of the double-helix molecule. Surely, there is a connection between these two geometries: both based on the pentagon! 

We know viruses insert themselves into the chromosome and redirect it to make copies of itself (and more). 

That the 3-4-5 fundamental PT — parent to all subsequent PTs (both primitive and non-primitive) — nicely (though NOT PERFECTLY) matches the angles and slopes of the pentagon and decagon, gives one wonder if the simple geometries of the Inverse Square Law (BIM) and that ever so simple Pythagorean Triples might be in the perfect position to inform the formation of the pentagonal geometry that itself informs so much of the sublime beauty and structure we see manifested throughout the cosmos!

Would not the highly geometric viral population be of the same or similar geometry of the host population it exploited to its own ends? Would not a “viral condom” block the matchup? Perhaps a cure is in site!

References:

https://www.nationalgeographic.com/magazine/2018/03/explore-wellness-nobel-prize-cryo-electron-microscopy/

http://www.cbc.ca/news/technology/nobel-prize-in-chemistry-shared-by-3-for-cryo-electron-microscopy-1.4325570

https://www.wired.com/story/cryo-electron-microscopy-wins-the-nobel-prize-in-chemistry

https://gizmodo.com/here-are-some-incredible-images-made-possible-by-this-y-1819137180

https://www.nobelprize.org/nobel_prizes/chemistry/laureates/2017/press.html?source=techstories.org

http://www.cell.com/trends/biochemical-sciences/abstract/S0968-0004(17)30048-8

https://cdn.rcsb.org/pdb101/learn/resources/zika/zika-paper-model.pdf

https://www.nih.gov/news-events/nih-research-matters/zika-virus-structure-revealed

https://chemistryandcomputers.wordpress.com/2016/06/19/pymol-and-very-large-pdb-files-the-zika-cryo-em-structure-as-a-case-study/

https://www.sciencedaily.com/releases/2016/04/160419144741.htm

http://science.sciencemag.org/content/early/2016/03/30/science.aaf5316/tab-figures-data

https://www.chemistryworld.com/news/explainer-what-is-cryo-electron-microscopy/3008091.article

http://www.virology.ws/2016/04/05/structure-of-zika-virus/

https://en.wikipedia.org/wiki/Zika_virus

https://reliawire.com/structure-immature-zika/

https://www.ncbi.nlm.nih.gov/Structure/pdb/5IRE

https://www.google.ca/search?q=martin+hogbom,+royal+swedish+academy+of+sciences&ie=UTF-8&oe=UTF-8&hl=en-us&client=safari&gfe_rd=cr&dcr=0&ei=ESOxWqfvAc3e8AekvrGwDw

BIM + PT + DNA + Zika   

NEW! Connections between:

1. BIM (BBS-ISL Matrix) + PTs (Pythagorean Triples)

2. PT  +  Pentagon & Decagon (double pentagon of DNA)

3. BIM + PT + DNA

4. BIM + PT + DNA + Zika Virus (cryo-em imagery)

It is suggested that the pentagonal geometry of the virus allows it to insert itself within the decagonal geometry of our DNA, perhaps spiraling in along the DNA double-helical axis, looking for a simple match opening! Talk about “Surrogate Sex!”

See the video: here on Vimeo

See the FULL BIM + PT + DNA + Zika:  here

See more white papers: here 

See more on TPISC: The Pythagorean - Inverse Square Connection: here  

Comment: In pushing for a further connection between pure, elemental natural whole integer numbers and the simple geometry that they inform, I was looking for a straightforward connection between the BIM, the PTs, and the pentagons as the BIM heavily favors the 5 resonance (base 10). 

Waiting in the dentist’s office, I saw the magnificent imagery of the Zika virus as generated from the Nobel Winning cryo-electron micrograph imaging technique right there in the pages of the latest National Geographic. 

The pentagonal structure of the Zika Virus leaped out and rang up all sorts of bells. 

In 2001, I wrote up “GoDNA: the Geometry of DNA (axial view),” and, “SCoDNA: Structure & Chemistry of DNA” about the pure double-pentagon (decagon) geometry of the double-helix molecule. Surely, there is a connection between these two geometries: both based on the pentagon! 

We know viruses insert themselves into the chromosome and redirect it to make copies of itself (and more). 

That the 3-4-5 fundamental PT — parent to all subsequent PTs (both primitive and non-primitive) — nicely (though NOT PERFECTLY) matches the angles and slopes of the pentagon and decagon, gives one wonder if the simple geometries of the Inverse Square Law (BIM) and that ever so simple Pythagorean Triples might be in the perfect position to inform the formation of the pentagonal geometry that itself informs so much of the sublime beauty and structure we see manifested throughout the cosmos!

Would not the highly geometric viral population be of the same or similar geometry of the host population it exploited to its own ends? Would not a “viral condom” block the matchup? Perhaps a cure is in site!

References:

https://www.nationalgeographic.com/magazine/2018/03/explore-wellness-nobel-prize-cryo-electron-microscopy/

http://www.cbc.ca/news/technology/nobel-prize-in-chemistry-shared-by-3-for-cryo-electron-microscopy-1.4325570

https://www.wired.com/story/cryo-electron-microscopy-wins-the-nobel-prize-in-chemistry

https://gizmodo.com/here-are-some-incredible-images-made-possible-by-this-y-1819137180

https://www.nobelprize.org/nobel_prizes/chemistry/laureates/2017/press.html?source=techstories.org

http://www.cell.com/trends/biochemical-sciences/abstract/S0968-0004(17)30048-8

https://cdn.rcsb.org/pdb101/learn/resources/zika/zika-paper-model.pdf

https://www.nih.gov/news-events/nih-research-matters/zika-virus-structure-revealed

https://chemistryandcomputers.wordpress.com/2016/06/19/pymol-and-very-large-pdb-files-the-zika-cryo-em-structure-as-a-case-study/

https://www.sciencedaily.com/releases/2016/04/160419144741.htm

http://science.sciencemag.org/content/early/2016/03/30/science.aaf5316/tab-figures-data

https://www.chemistryworld.com/news/explainer-what-is-cryo-electron-microscopy/3008091.article

http://www.virology.ws/2016/04/05/structure-of-zika-virus/

https://en.wikipedia.org/wiki/Zika_virus

https://reliawire.com/structure-immature-zika/

https://www.ncbi.nlm.nih.gov/Structure/pdb/5IRE

https://www.google.ca/search?q=martin+hogbom,+royal+swedish+academy+of+sciences&ie=UTF-8&oe=UTF-8&hl=en-us&client=safari&gfe_rd=cr&dcr=0&ei=ESOxWqfvAc3e8AekvrGwDw

rbrooksdesign: January Geo-My-Tree       “TPISC_III_Clarity -1 & -2″         Reginald Brooks Honored to have 2 works in this show! Visit if you can.