Tag Archive: Graphics

3d Quaternion with Mandelbrot Pattern

Here is a 3d Julia fractal with a Mandelbrot pattern that I whipped up in POV Ray. I’ve done some 3d quaternions before, but I figured I’d try creating patterned ones and this is a starter piece.

3d Quaternion with Mandelbrot Pattern

And here is the starter piece on which I patterned this Mandelbrot from POV Ray’s documentation.

3d Quaternion with Mandelbrot Pattern

I do think that it needs a little smoothening and that there are some points that are disjoint from the central piece.

Installing Beryl on Ubuntu Edgy with an Intel Chipset

After installing Edgy, I figured I’d go ahead and install Beryl – an open-source 3d Window Manager that totally rocks.

While this took some doing, it was totally worth it, as the screenshots below will attest to (and when you are done looking at those, you should have a look at some of the YouTube videos on Beryl).

Rotating workspaces/desktops in Beryl on Ubuntu

Post-Processed HDR with Paint.NET

The latest version of Paint.NET has been released — it’s not quite Photoshop, but it’s free and it’s got a better UI (and is more usable) than GIMP. It’s got a tonne of features, and has a wide variety of plugins to support it.

So, I decided to give it a go and tried making a few changes to my existing HDR images, mostly by equalizing the tones and saturation.

Here are the results – click to view the larger images.

Equalized image of the HDR of a church

Equalized image of the HDR of a church

Equalized image of the HDR of a church

Personally, I think these have come out much better than the originals!

Klein Bottles

In topology, a Klein Bottle is a kind of non-orientable surface, first discovered by the German mathematician Felix Klein.

Rendering of a Riemann Sphere

Here is a high-resolution, colourful rendering of the loxodromic representation of a Riemann Sphere. I’ve talked about Riemann spheres in some of my earlier posts.

Click on the image to view the larger version. Enjoy!

Rendering of a Riemann Sphere

This has also appeared in the Wikipedia Selected Article for the Algebra Portal.

Costa’s Minimal Surface

I recently wrote a very short article on Wikipedia on Costa’s Minimal Surface.

I have been meaning to add a few renders and discuss the detailed topology, but haven’t had the time yet. However, here is a cool render of the CMS for now. Click to view the larger version.

Costa's Minimal Surface

Homotopy of Roman and Boy Surfaces

More topological madness! Here are some pictures depicting the homotopy of the transformation to and from Roman and Boy surfaces.

Homotopy between a Roman surface and a Boy surface

Riemann Spheres

Here are some visualizations of the Riemann Sphere, done in Scilab. The code is given below.

Riemann Sphere with U (-10, 10)

Rendering of a Roman surface

Here is a rendering of three intersecting Roman surfaces (one of the many interesting Steiner surfaces). Sorry about the bright colours, I wanted something that helped discern regions of intersection. Click on the image to view a fairly high-res version.

Rendering of a Roman surface

Update: I have also added a new section titled Topological Constructs with more interesting Roman surface and Whitney umbrella renderings, as well as some code on rendering certain Non-Orientable Surfaces. Enjoy! :)

Thanks muchly to Alamandrax in helping me debug an uneven render and props to his Matlab skills.