#pythagoreantriples

[rbrooksdesign]

PTOP--How To Make With Fractals

2020, Reginald Brooks

PRIMES Index

[nellister0304]

Happy Pythagorean Triple Day!

08/15/17

[whitechnoleg]

youtu.be/QJYmyhnaaek // All possible pythagorean triples, visualized #pythagoreantriples #math #visualization

[eroolifestyle]

One of our favorite #SAT and #ACT #testprep time saver: #pythagoreantriples Be sure to memorize the base ones (3-4-5) and (5-12-13), and practice recognizing their multiples! These are GUARANTEED to show up in the test! #mathsuperstar #SAT800 #SATmath800 #collegeadmissions #planorganizecollege (at San Diego, California)

[dwight145-blog]

Pythagorean Theorem Pythagorean Triples A Pythagorean Triple consists of three positive integers a, b, and c, such that A2+B2=C2. #math #pythagoras #integer #integers #pythagoreantheorem #pythagoreantriples

[marco42james]

Pythagorean Triples and coloring

Clicking on this image will show it larger in a new window.

Pythagorean triples are not only handy for students to recognize but produce some interesting and lovely patterns.  We’ve combined a little coloring with our Pythagorean Triple pattern investigation to let your students relax while they color, view the beauty, and recognize the progression.

The activity: PythagoreanTriples.pdf

CCSS:  8.G.B,  7.G.B, HSG, 8.SP.A, HSS, HSA.APR.C.4

For members we have an editable Word docx + teacher tips and hints.

PythagoreanTriples.docx   PythagoreanTriples-teacher-notes.pdf

from Yummy Math https://www.yummymath.com/2019/pythagorean-triples-and-coloring/

[rbrooksdesign]

PRIMES vs NO-PRIMES

PRIMES vs NO-PRIMES composite movie of original acrylic paintings and digital filter overlays. ©2019, Reginald Brooks.

“Grids Without Borders”

Description: Math—Art—Physics combine to inform the works of Reginald Brooks. Most recently, the PRIMES and NO-PRIMES have been found to form a definitive pattern upon the same matrix grid (BIM) that also describes the Inverse Square Law and Primitive Pythagorean Triples. Go figure!

“PRIMES vs NO-PRIMES” is part of the math-based “PRIMES vs NO-PRIMES” body of work published earlier this year (2019).

From the original 10 acrylic paintings reflecting on the visualization of the NO-PRIMES directly on the BIM (BBS-ISL Matrix), a series of digital filters was overlaid. Both sets of images have been combined here in this video. The soundtrack is an aggregation of Apple Sound Effects.

For more information on how the BIM can identity ALL the PRIMES by FIRST IDENTIFYING ALL THE NO-PRIMES, please see PRIMES vs NO-PRIMES 1,2,3 and 4 videos.

See more: brooksdesign-ps.net/Reginald_Brooks/Code/Html/MSST/MSST-TPISC_resources/MSST-TPISC_resources.html#TPISC_IV:%20Details

Thanks for viewing!

[rbrooksdesign]

PRIMES vs NO_PRIMES 3

RoughAnimator-6 series, 2019, Reginald Brooks

[rbrooksdesign]

“PRIMES_vs_NO-PRIMES-4″  copyright© 2019, Reginald Brooks

Details on the calculated NO-PRIMES forming a nice visual pattern on the BIM.

The algebraic method: NP=6yx±y has 2 variables x and y as shown above.

The 1st Diagonal (parallel to the dividing prime diagonal) = ALL ODD #s.

This includes ALL the PRIMES ≧3.

The 1st Diag. - NP = PRIMES

The algebraic-geometry method:  1st Diag. - SIGO(A²) = PRIMES 

gives the same results in a simpler geometric visualization.

[rbrooksdesign]

BIM+PT+DNA+E-B Virus

2018, Reginald Brooks 

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[rbrooksdesign]

BIM_PT_Pentagons

2018, Reginald Brooks 

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[rbrooksdesign]

BIM + PT + DNA + Zika

2018, Reginald Brooks 

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[rbrooksdesign]

DSEQEC-3

2018, Reginald Brooks 

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[rbrooksdesign]

DSEQEC — 2

2018, Reginald Brooks 

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[rbrooksdesign]

DSEQEC — 1

2018, Reginald Brooks 

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[rbrooksdesign]

CaCoST-0. Creation & Conservation of SpaceTime. 2018 Reginald Brooks

S=Singularity, PEH=Planck Event Horizon, OV=OurView, AV=Alternate View

Η=Higgs Field (spin 0, mass 0, charge 0)

G=Graviton (spin2 c/cc, mass 0, charge 0)

γ=photon (spin 1 c/cc, mass 0, charge 0)