Archives for posts with tag: math

In an effort to come full circle in recognizing the very polarizing Common Core testing in New York over the past two weeks, we bring you another “math meets art” post. This time it’s the work of Venezuelan architect and illustrator Rafael Araujo, and his very technical approach to capturing the mathematical brilliance of nature. With simple drafting tools (pencil, ruler, compass, protractor), Araujo takes much pleasure and pride being unplugged from technology while exploring three dimensionality (yes, without the aid of a computer), which can take up to 100 hours to create a single complex composition. We cannot wrap our brains around how one would even begin to approach this, so needless to say, we are in complete awe of Araujo. As are the thousands of backers who contributed to his Kickstarter campaign to publish a book of his work, which began several months ago with a goal just over $20,000. Araujo has since raised over a quarter of a million dollars to date, with the help of Sydney, Australia-based husband and wife team Melinda and Andres Restrepo. The Restrepos were so taken with Araujo’s work online, they approached him about creating a book. Capitalizing on the growing popularity of “adult coloring books” (c’mon, not X-rated, but those touting supposed “stress relieving” patterns), the project to publish the Golden Ratio Coloring Book is forging ahead. When you look at the sampling of Araujo’s work below, just keep in mind that they are all done by hand. Simply breathtaking.

Via rafael-araujo.com

Araujo-01 Araujo-02 Araujo-03 Araujo-04 Araujo-05 Araujo-06 Araujo-07 Araujo-08 Araujo-09 Araujo-10 Araujo-11 Araujo-13 Araujo-14Araujo-15

Advertisements

The connection between mathematics and art dates back thousands of years. From cathedrals to ancient tilings to oriental rugs, mathematics have been fundamental in geometric designs that are now revered and often emulated. In honor of Common Core testing that is taking place here in New York State this week, we thought it fitting to look at the work of Iranian mathematical artist Hamid Naderi Yeganeh. These often delicately intricate works are quite remarkable, and more astounding is that Yeganeh writes computer programs based on mathematical equations to produce them. Though Yeganeh’s mathematical descriptions are way over our heads (example below), the aesthetic and conceptual allure of these works is certainly not lost on us. The results are stunning, and just proof that math can be beautiful.

Via mathematics.culturalspot.org

 

This first image shows 9,000 ellipses. For each k=1,2,3,…,9000 the foci of the k-th ellipse are:
A(k)+iB(k)+C(k)e^(300πik/9000)
and
A(k)+iB(k)-C(k)e^(300πik/9000)
and the eccentricity of the k-th ellipse is D(k), where
A(k)=sin(12πk/9000)cos(8πk/9000),
B(k)=cos(12πk/9000)cos(8πk/9000),
C(k)=(1/14)+(1/16)sin(10πk/9000),
D(k)=(49/50)-(1/7)(sin(10πk/9000))^4.

Yeganeh-01Yeganeh-02 Yeganeh-03Yeganeh-06 Yeganeh-04 Yeganeh-05  Yeganeh-07 Yeganeh-08 Yeganeh-09 Yeganeh-10Yeganeh-11

%d bloggers like this: