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You are here: Home / Archives for Numbers and Proportions

Numbers and Proportions

Online Triangle Calculator and Drawing Tool

Wednesday, 18 November 2015 by Bruce Rawles

GC-TrianCal-Screen Shot 2015-11-18 at 12.56.49 PM

Here’s a neat calculator and drawing tool for triangles that works on Google Chrome. Thanks to Jesus S. for sending me the link and the detailed description below! Be sure to try the drawing tool, and checkbox for options such as incircle, circumcircle, etc.


http://TrianCal.esy.es – Open in Google Chrome.
(Triangles online calculator developed by Jesus S.)
YouTube: https://youtu.be/V2IV7lY52mA

I propose this free online calculator triangles without advertising to
help students with geometry, not exercising, because their
calculations formulas are not displayed. It is designed in a didactic
way to check and view the
exercises.

TrianCal is online calculator triangles that works with any
combination of values including sides, heights, angles, the area or
perimeter of any triangle, calculating it with the minimum possible
value (typically three).

Other functions:
– Draw the triangle (s) with GeoGebra.
– Set the range of values allowed into each element.
– The type of angle.
– The type of triangle by its sides and angles.
– Selection of language (English or Spanish).
– Select and angles [degrees (°), Radians, Degrees, minutes and
seconds (°
‘”) or degrees and minutes (°’)] is.
– Number of decimal places to show in the results (0-15).
– You can use the arrow keys and the Tab key to navigate through the
settings.
– Drop-down menu to select values comfortably.
– Create a link (URL) to the current triangle.
– An icon mail to communicate with the author.

NOTE: You must use the Google Chrome browser to display correctly
TrianCal.

Examples of possible combinations:
– The area, perimeter and other data (side, height or angle), if the
outside
equilateral triangle would not need the third data.
– 2 angles and other data (if the value of the other data is not put
aside
the value of “a” at the time of drawing the triangle is 10).
– One hand, one high and one angle.
– 3 heights.
– 3 sides.
– 2 heights and perimeter.
– Any other combination of values.

Filed Under: 2D Geometries, Numbers and Proportions

GeometryCode bulletin – June 2015

Tuesday, 30 June 2015 by Bruce Rawles

(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials

Vibration Station Conversation: Emoto, Cymatics, Mentalism, Polarity and more…

Dave Cohen - Good Vibration Station-LA talk Radio

Dave Cohen (a.k.a. Davie Crockett) and I shared this conversation on 28 June 2015, on his LA Talk Radio show. We began with talking about the work of Masuru Emoto, Hans Jenny, quantum technology, mind (of course!) and migrated into a variety of geometric and metaphysical subjects; the usual fun whirlwind dialogue. Third eye dilation, anyone? :-)

https://www.geometrycode.com/audio/DaveCohen-LAtalkRadio-28Jun2015.mp3

Sunflower Head - Fibonacci Sequence Animation by Cristóbal Vila

(2) Websites, Books, Videos, Imagery, Music and Quotes

  • Fibonacci Sequence Animation video by Cristóbal Vila (with music by Wim Mertens) – Excellent animation of whirling squares (see image below), spirals morphing into a Chambered Nautilus, the Golden Ratio, the Golden Angle (137.507°) morphing into a sunflower head (see image above), dragonfly wings, and the hexagonal grid of an insects eye.
  • Another article hinting (perhaps indirectly?) that mind might be the basis for our holographic dream of a cosmos: Some physicists believe we’re living in a giant hologram — and it’s not that far-fetched
  • I recently (June 14, 2015) gave an audio visual presentation (via Skype) for Starr Fuentes’ 11th Annual Light Language Conference. My presentation was entitled “Metaphysics, Symbolism, Sacred Geometry and the The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation.” Thanks to Starr for inviting me and Sean for his technical support. :-)

Whirling Squares - Fibonacci Sequence Animation by Cristóbal Vila

(3) Request for Submissions

As always, please let me know how I might support you. Please send me any interesting items about sacred geometry or related interests … since everything is inter-related!If you would like to stay connected and network with kindred souls online, check out my pages on
Facebook, YouTube, Twitter, Pinterest and LinkedIn. I always enjoy connecting with both recent and long-time friends and colleagues and discovering new friends of friends :-)Thanks for your interest & support! :-) BTW, I always appreciate enthusiastic reviews on the Amazon SGDS book page, and the newer Amazon book page for The Geometry Code. It’s a good “win-win” way to cross-promote your work as well.

If you like to color with colored pencils (or other media), make 3-D fold-up geometric art, do stained glass, quilts, geometric arts and/or crafts, or just want an extensive reference/resource of geometric archetypes, patterns and essential line art, you might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns.

If your leanings are more metaphysical … and perhaps whimsical :-) … you might enjoy my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. It was originally going to have geometry and Hermetic Laws/symbolism as a primary focus, but in 2007, a reawakened interest in the spiritual masterpiece, A Course In Miracles – thanks to Gary Renard – shifted the primary emphasis to an exploration of the two thought fundamental systems we all vacillate between, and how we can gradually shift our mind’s identity to the happy one.

Bruce Rawles
PO Box 192, Castle Rock, Colorado 80104
author of The Geometry Code book; co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.

Filed Under: 2015 Bulletins, 2D Geometries, 3D Geometries, Bulletins, Fibonacci Numbers, Fractal Geometry, sacred geometry interviews, sacred geometry videos

GeometryCode bulletin for April 2015

Thursday, 30 April 2015 by Bruce Rawles

(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials

Metatron’s Cube art by Jarrod Bray

Occasionally I get interesting, unsolicited submissions such as this one by artist Jarrod Bray, who finds artistic inspiration from Metatron’s Cube as a starting point. Here’s one of the images (slightly retouched to bring out the contrast) he sent me recently.

Jarrod Bray - Metatron's Cube inspired Art

Fibonacci proportions in original Apple Computer logo

Like so many ubiquitous iconic images we take for granted, here’s a now-classic example of an everyday symbol (which happens to represent the company whose computing equipment I’m using to craft this bulletin) showing Fibonacci number underpinnings – note the 1, 2, 3, 5, 8 and 13 proportions, Fibonacci spiral and simple geometric archetypes – used in the image construction. Thanks to Nancy for sending this timely (pun intended) image.

Apple Computer Logo showing Fibonacci number proportions

(2) Websites, Books, Videos, Imagery, Music and Quotes

  • Check out these fun and interesting animated math gifs, including fractal cycloids, rotating hypercubes, seed/flower-of-life morphings, and more
  • Levitating superconductor discs, anyone? An interesting TED talk about quantum locking and levitation.
  • Nassim Haramein’s graphic showing earth-moon proportions and some interesting ‘273 coincidences’ as well as related proportions of the Great Pyramid

(3) Request for Submissions

As always, please let me know how I might support you. Please send me any interesting items about sacred geometry or related interests … since everything is inter-related!If you would like to stay connected and network with kindred souls online, check out my pages on
Facebook, YouTube, Twitter, Pinterest and LinkedIn. I always enjoy connecting with both recent and long-time friends and colleagues and discovering new friends of friends :-)Thanks for your interest & support! :-) BTW, I always appreciate enthusiastic reviews on the Amazon SGDS book page, and the newer Amazon book page for The Geometry Code. It’s a good “win-win” way to cross-promote your work as well.

If you like to color with colored pencils (or other media), make 3-D fold-up geometric art, do stained glass, quilts, geometric arts and/or crafts, or just want an extensive reference/resource of geometric archetypes, patterns and essential line art, you might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns.

If your leanings are more metaphysical … and perhaps whimsical :-) … you might enjoy my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. It was originally going to have geometry and Hermetic Laws/symbolism as a primary focus, but in 2007, a reawakened interest in the spiritual masterpiece, A Course In Miracles – thanks to Gary Renard – shifted the primary emphasis to an exploration of the two thought fundamental systems we all vacillate between, and how we can gradually shift our mind’s identity to the happy one.

Bruce Rawles
PO Box 192, Castle Rock, Colorado 80104
author of The Geometry Code book; co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.

Filed Under: 2015 Bulletins, 2D Geometries, 3D Geometries, Bulletins, Numbers and Proportions, sacred geometry art, sacred geometry news

NOVA – The Great Math Mystery

Tuesday, 14 April 2015 by Bruce Rawles

Looks like an interesting program … I’m looking forward to watching this PBS program!
NOVA-TheGreatMathMystery-Screen Shot 2015-04-14 at 6.04.58 PM

“Join NOVA on a mathematical mystery tour—a provocative exploration of math’s astonishing power across the centuries. We discover math’s signature in the swirl of a nautilus shell, the whirlpool of a galaxy, and the spiral in the center of a sunflower. Math was essential to everything from the first wireless radio transmissions to the prediction and discovery of the Higgs boson and the successful landing of rovers on Mars. Astrophysicist and writer Mario Livio, along with a colorful cast of mathematicians, physicists, and engineers, follow math from Pythagoras to Einstein and beyond. It all leads to the ultimate riddle: Is math a human invention or the discovery of the language of the universe?”

NOVA PRESENTS
The Great Math
Mystery
Airing Wednesday,
April 15, 2015 at 9 pm on PBS
(Check local listings)

Filed Under: 2D Geometries, 3D Geometries, Fractal Geometry, Numbers and Proportions, sacred geometry videos

GeometryCode bulletin for January 2015

Saturday, 31 January 2015 by Bruce Rawles

(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials

Fibonacci Garden: Mathematics in the Plant World – New DVD from Michael Schneider

For the past two months I indicated that I would do a more proper review of “Fibonacci Garden: Mathematics in the Plant World“, the latest DVD from Michael S. Schneider, author of the superb book A Beginner’s Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science by Michael Schneider (which I often recommend as a companion to Sacred Geometry Design Sourcebook.) Earlier this month, I finally finished watching it’s generous content – give your self multiple hours to savor it, since it is packed with lavish visuals, photos and illustrations … I recommend it highly. If you’re a math educator, math historian, prime number theorist, botanist, geneticist, stock market analyst or sacred geometry enthusiast, you won’t regret getting a copy for your collection. Note the ‘golden angle’ (360°/2ø) = 137.507…° which also appears in the Blooms: Strobe-Animated Sculptures which I will describe in more detail in next month’s post. Here is a Fibonacci-inspired composition that Schneider refers to in the video: Béla Bartók – Music for Strings, Percussion and Celesta, I. Rather than write about his insightful narration and imagery, I’ll let a few screen snaps convey a sense of what the DVD contains. There are hundreds of fascinating slides in this video, covering numerous aspects of how Fibonacci numbers and related sacred geometry topics reach into myriad areas of our lives; here are just a small handful of screen shots – please forgive the hand-held cell-phone photo quality; there’s no distortion or blurriness in the actual video:

stock-market-FibonacciGarden-MichaelSchneider

BelaBartok-FibonacciGarden-MichaelSchneider

puzzles-FibonacciGarden-MichaelSchneider

7thTermFibonacciGarden-MichaelSchneider

self-similarBranches-FibonacciGarden-MichaelSchneider

Kepler-quote-FibonacciGarden-MichaelSchneider

ArmViolin-proportions-FibonacciGarden-MichaelSchneider

GoldenAngle-FibonacciGarden-MichaelSchneider

RomanescoCauliflower-FibonacciGarden-MichaelSchneider

palmTreeSpirals-FibonacciGarden-MichaelSchneider

equiangularSpiral-FibonacciGarden-MichaelSchneider

In addition to an extensive bibliography at the end of the DVD, here are some of the websites that Michael references:

  • Fibonacci Quarterly
  • Fibonacci Numbers and the Golden Section
  • US Patent and Trademark Office (search using the words Fibonacci, Golden Ratio and Golden Mean)
  • USDA Plant Gallery (countless examples of Fibonacci numbers)

(2) Websites, Books, Videos, Imagery, Music and Quotes

  • an introduction to the EarthStar Globe by colleague Dan Shaw; among other familiar geometric curiosities, he details 62 terrestrial vertices at intersections of the 30 rhombic elements of this unique polyhedron
  • ESPL: Dances of the Planets – ‘string art’ and other planetary orbit images inspired by The book, ‘A Little Book of Coincidence‘ by John Martineau, as were my POV-Ray planetary images, available as greeting cards, posters, apparel, calendars and more.
  • Sisyphus, Golden Globes, Polytopes, and Rhythmic Cycles – an interview of Bruce Rawles by Dave Cohen

(3) Request for Submissions

As always, please let me know how I might support you. Please send me any interesting items about sacred geometry or related interests … since everything is inter-related!If you would like to stay connected and network with kindred souls online, check out my pages on
Facebook, YouTube, Twitter, Pinterest and LinkedIn. I always enjoy connecting with both recent and long-time friends and colleagues and discovering new friends of friends :-)Thanks for your interest & support! :-) BTW, I always appreciate enthusiastic reviews on the Amazon SGDS book page, and the newer Amazon book page for The Geometry Code. It’s a good “win-win” way to cross-promote your work as well.

If you like to color with colored pencils (or other media), make 3-D fold-up geometric art, do stained glass, quilts, geometric arts and/or crafts, or just want an extensive reference/resource of geometric archetypes, patterns and essential line art, you might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns.

If your leanings are more metaphysical … and perhaps whimsical :-) … you might enjoy my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. It was originally going to have geometry and Hermetic Laws/symbolism as a primary focus, but in 2007, a reawakened interest in the spiritual masterpiece, A Course In Miracles – thanks to Gary Renard – shifted the primary emphasis to an exploration of the two thought fundamental systems we all vacillate between, and how we can gradually shift our mind’s identity to the happy one.

Bruce Rawles
PO Box 192, Castle Rock, Colorado 80104
author of The Geometry Code book; co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.

Filed Under: 2015 Bulletins, 2D Geometries, 3D Geometries, Archimedean Solids, Bulletins, Fractal Geometry, Numbers and Proportions, Platonic Solids, polyhedra, sacred geometry art, sacred geometry books, sacred geometry calendars, sacred geometry interviews, sacred geometry music, sacred geometry news, sacred geometry videos

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