Tangled and the Mathematics of Hairdressing

I am quite a movie lover and during my free time, I always watch a movie or two either on a television or in cinemas.   I watch a wide variety of movie genres: action, drama, martial arts, musical,  3ds;  even Korean love stories with subtitles. Yes, I watch them all.

Tangled was one of my recent watch.  Captivated,  I researched about it and found out that it was six years in the making — well, it was quite evident. The songs, animation,  script, and overall story were all grand and fascinating.

tangled

image via Wikiepdia

Tangled was a ‘derivative’ story of Rapunzel, this time her hair glows when she sings. The hair was quite the center of the story because it has healing powers. What is more interesting  is that the life-like strands of hair that can be seen in the movie were created using discrete differential geometry, one of the newest fields in mathematics.  Mathematicians from Columbia University and Free University of Berlin had to consider how 150,000 strands of hair interact with other strands, gravity, friction, air, and so on, and come up with mathematical equations that would model them.

The animators of Tangled characterize their work as  ‘principled’ and ‘beautiful.’ New York times explains more.

What he and others mean when they refer to work as “principled” or “beautiful” is that the images on screen are not the result of a patchwork of technical tricks, but of precise mathematical equations based on the way the world actually looks and operates — in a word, physics. They use what is known as discrete differential geometry, a field so new that the first textbook on the subject was published only two years ago.

Eitan Grispun, head of the team and director of the Columbia University Computer graphics Group describes “the mathematics behind this is really gorgeous.”

Gorgeous mathematics indeed.

Posts Summary Christmas Edition

Merry Christmas everyone. Despite the busyness due to Christmas season, Math and Multimedia still remains active.  Here are the summary of posts for this week.

I. Mathematics and Multimedia

II. My Other Blogs

To those who want to give love this Christmas, you may want to donate (via GMA Kapuso Foundation) to the flood victims in Southern Philippines. More than 1000 people were killed and hundreds of families were left homeless.

Happy holidays and a blessed new year!

The 12 Days of Christmaths and the Triangular Numbers

Many of us are familiar with the Twelve Days of Christmas — a song that enumerates a series of increasingly grand gifts given on each of the twelve days of Christmas.  For those who are not familiar with the song, here are a few stanzas (for full lyrics, click here).

On the first day of Christmas,
my true love sent to me
A partridge in a pear tree.

On the second day of Christmas,
my true love sent to me
Two turtle doves,
And a partridge in a pear tree.

On the third day of Christmas,
my true love sent to me
Three French hens,
Two turtle doves,
And a partridge in a pear tree.

On the fourth day of Christmas,
my true love sent to me
Four calling birds,
Three French hens,
Two turtle doves,
And a partridge in a pear tree. 

The math: How many gifts was  given on the twelfth day? » Read more

Related Posts Plugin for WordPress, Blogger...
1 2 3 4 114