Visual Math

Construction notes and details

Construction notes and details for Stereo pair smooth depth reversal animations

Vision and perception experiments

Stereo pair smooth depth reversal

 

Stereo pair smooth depth reversal

What is the perception of a stereo pair if the disparities of a semi-natural image are smoothly changed, such that the stereoscopic depth of every feature is reversed, with far things becoming near and near things far?

Vision dynamics and hallucinated patterns

Vision dynamics and hallucinated patterns

A set of links related to commonly percieved patterns that are different from visual stimulus patterns, and how they might be related to cortical implementation of human vision.

Discrete math background

    "...we try to make predictions about Nature, to anticipate what we’ll see in places we have not yet looked. If additional observations corroborate our expectations, then we’re on the right track. Several skill sets are involved: one must know how to idealize the world, and then how to work with that idealization.

Test renderings of the P22 virion EMD-1220 data set

Test renderings of the P22 virion EMD-1220 data set

 

Also see larger version of many of these images in the Volume Renderings gallery.

 

Central slice. Note the needle and lead dsDNA detail (near center), and more than four concentric shells through the horizontal plane at center of capsid.

Stereo pairs (cross-view):

P22 virion structure, EMD-1220 rendering notes

P22 virion structure, EMD_1220 rendering notes

"For a physicist, it is indeed a great joy to learn how we can use beautiful mathematics to understand the real world."  In Stephen Weinberg's "Without God" (9/25/08, The New York Review of Books)

Data source

Processing notes

Web predictions

 TED Video which speculates on the next 5000 days of the web. Infers connections between web and brain strucutre interconnectivity.

Also a nice fluid dynamics video of experiments being done on the interntational space station in micro gravity.

2x2 symmetric L-systems

2x2 symmetric L-systems

"Symmetry is a complexity-reducing concept; seek it everywhere." Alan Perlis

   The simplest 2x2 replacement systems with rules that are globally and locally symmetric.
   
    Many other types of systems also have a large number of symmetries, for example:
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