Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

9/03/2011

A four-fold 'star' pouch (origami design)

Here's a design I came up with a few years back - it is published in this year's Origami Fold-A-Day Calendar, as the entry for December 1:


As you can see from the crease diagram (marked '3.' above), the shape results from a set of symmetrical crease patterns, which you draw on your sheet of paper and then fold along - the final shape almost creates itself :) Here is the crease diagram again, with each fold marked to be a 'v' (valley) or 'm' (mountain). Fold the '1's first, followed by '2's, finally, the '3's.

4/11/2010

Riemann surface, in ChromaDepth stereo!

A blast from the past - this is a t-shirt design that Mary-Margaret and I submitted towards the SIGGRAPH '98 T-Shirt Contest, it won first place :) Shown is an entry about this, from Mary-Margaret's site (click on the pic to bring up a bigger version).


2/03/2009

Math equations using HTML +Javascript!!

Fun!! [view using Firefox/Chrome/Opera/Safari/IE]

`x^2 + y^2 + z^2 = R^2`

Chain fractions: `1/(1+1/(1+...))`

`o = sum_(i=0)^3(a_i * prod_(j=0)^(i-1)d_j) = (1) + (1 * (2)) + (1 * (2*3)) = 1 + 2 + 6 = 9`

1/19/2009

1/03/2009

Borromean rings

These are quite interesting..

Here is an animation:



The color scheme employed is that of a ChromaDepth palette. The scheme makes it possible to create 3D (stereo) imagery for viewing with special prism (diffraction) glasses. But a lot of times stereo can be perceived even w/o glasses by looking intensely at the images long enough :)

Autologlyphs

Coined by Henry Segerman, the term 'autologlyph' is a self-referential image illustrating a mathematical concept. His collection of autologlyphs is here. Here's my contribution:


There are many more autologlyphs I've been wanting to create.

1/02/2009

Kolams

A kolam is an extremely wonderful art form practiced in Southern India. Here is a clip: