Fabulous Fibonacci is Golden Art

I’ve just backed Rafael Araujo’s Kickstarter project to bring his beautiful architectural illustrations to light in an adult coloring book. Araujo is a Venezuelan architect in Caracas, who’s been using the Fibonacci Sequence or Golden Ratio for over 40 years to create his artwork.

Rafael Araujo at work_ Art Is Everywhere

Rafael Araujo at work

The Golden Ratio uses “Phyllotaxis,” which is the tendency in nature for things to grow in spiral patterns. This concept can be seen in mathematically sequenced spirals in seashells and butterflies — two of my favorite things — among many other elements that are found in Nature.

Golden Ratio shell 1_Art Is EverywhereHe’s left all the mathematical plotting points intact to show the diagram of the object he’s illustrating, similar to Leonardi’s famous image of the Vitruvian man, which in this case also shows how the circle and the Golden Ratio Rectangle come together.

Rafael Araujo_Golden Ratio Rectangle Fibonacci Spiral_ArtIsEverywhere

Leonardo Da Vinci's Vitruvian Man_ArtIsEverywhere

Leonardo Da Vinci’s Vitruvian Man via Stanford University

Golden Ratio shell 3_ Art Is Everywhere

Araujo’s shells using the Golden Ratio

Golden Ratio shell 2_Art Is Everywhere

Rafael Araujo_Blue Morpho butterflies_ArtIsEverywhere

Blue Morpho Butterflies in flight by Rafael Araujo

Casart Butterfly Logo2_Art Is Everywhere

Casart coverings Blue Morpho Logo Butterfly

I love the Blue Morpho Butterfly, as you can see above. I took these next two pictures while in Panama. It is one of the most majestic creatures. I was so excited to see them in flight, as well as leaf cutter ants at work. Pretty amazing and mesmerizing.

Blue Morpho Underside wing pattern in Panama_Art Is Everywhere

Blue Morpho Underside wing pattern in Panama

Blurry Blue Morpho eating_AIE

Blurry Blue Morpho eating

Rafael Araujo_Monarch butterflies_ArtIsEverywhere

Araujo’s Monarch Butterflies

I’m loving this coloring book because it epitomizes the apex of where art and science come together. I’m excited to receive one but more importantly, I’m very happy, Mr. Araujo and his printers have already reached their fundraising goal. I’m just pleased to be a part of the effort to bring his exceptional art to others. You can still be a part of the effort too until April 27th, so get on board and surf the Golden Ratio wave!

Golden Ratio Coloring Book_ArtIsEverywhereHere are some more links that may be of interest:

Rafael Araujo’s website

His creative process on Imgur

Math is Fun – The Fibonacci Sequence

A Fun Math Exercise in Your Garden

About the Fibonacci Sequence

Golden Ratio in relation to Fibonacci Sequence

More on Golden Rectangles

Golden Ratio Rectangle_ArtIsEverywhere

Don’t ask me to explain the math, except maybe this is why I like Spirograph so much! 😉


The Physics of Origami

I’ve already written a post on origami, featuring Dr. Robert Lang, but he was profiled recently in The Washington Post, and Rachel Saslow’s article, When Origami Meets Rocket Science, was so informative, I thought I’d do a follow up. At 49 he’s the quintessential origami master. He quit his career as a laser physicist and semiconductor laser and fiber-optic researcher while working for NASA in their Jet Propulsion Laboratory. As if these professions weren’t “heady” enough and lucrative once going into private technology in Silicon Valley, he decided to give it all up for paper folding. He is doing well, traveling giving lectures, and being the go-to origami guy. His love of physics and mathematical relationships exist in origami when patterns are discovered through paper folding. He used origami concepts to collaborate on a project with The Lawrence Livermore National Laboratory to develop a telescope lens for space. The “Eyeglass” lens was designed with correlating panels as the premise, similar to origami. Other science/origami related projects include: folding car airbags and medical stints. As Lang describes, a fun project can have a practical purpose.

The art historical aspect of the article was very intriguing describing the origins to be believed as early as the 1700’s, with cranes and boats in Japan and then was catapulted in to popularity by Akira Yoshizawa in the 20th century. There was a craze that took hold in the 1990’s. Lang published the book., Origami Design Secrets: Mathematical Methods for an Ancient Art, in 2003. This has become the origami bible of sorts. His artistic origami designs are just phenomenal.


The article also profiled, Tom Hull, an associate professor of mathematics at Western New England College, who uses origami in his calculus, number theory, geometry and algebra instruction. His book is Project Origami, published in 2006. It demonstrates projects teachers can us in their math classes.


Erik Demaine, another origami enthusiast, who was 15 at the time when he was starting a PhD in computer science at the University of Waterloo (!) when he discovered Lang’s work, has paired up with Lang to devise computer software called Treemaker that transforms origami sketches into a crease pattern as a template to follow.

In addition, Dumaine is working on a project that links origami to possibly understanding and maybe even finding cures for Parkinson’s and Alzheimer’s. Dumaine also has paper sculptures in the permanent collection at the Museum of Modern Art in New York City. Lang gives lectures at the Waters Art Museum in Baltimore. Both not too far a trek for me to check out.


Coincidentally, in the same paper is a blip about visiting several new art exhibits. One being, Veritas Obscura at Flashpoint Gallery. This is showcasing the photographic work of Marc Roman, who creates three dimensional pieces that show the 100-year timeline of the history of the electron. Now, I never did well in chemistry, even though my father (and father-in-law, I’ve discovered) were both chemistry majors, it didn’t seep into the genes. I have every intention however of following in the footsteps of my father and long line of Jackson family members in being pre-med when I showed up on college campus. That quickly changed. Anyway, maybe this visual would have helped me get through chemistry. Funny, I was so scared to take it from the hardest teacher in my high school that I took it as a summer course at Tulane University. What was I thinking? I needed a tutor. Although, I appreciate the sciences, I’m a visual person not a math/ science one. I like math when I do not have to use it.