Inference Group
.
.




Search :
.

`Peano' - Fully Two-dimensional Dasher

Peano Curve - capable of using both dimensions as information sources.
David MacKay

The idea is to embed the real line from 0 to 1 in two dimensions by mapping it onto a Peano curve. (For those who care about names, I'm told the particular Peano curve shown here is a Hilbert curve.)

As an illustration of the potential benefits, the following image compares the regular one-dimensional-dasher view of an English bigram model (left) with the Peano view (right). Many more low-probability strings are visible. Peano-dasher makes better use of screen real-estate. Whether Peano-dasher will be useable remains to be seen.
Peano Curve
Some more images illustrating the Peano concept, and zooming
Peano Curve Peano Curve, zoomed in

The Dasher project is supported by the Gatsby Charitable Foundation
David MacKay
Site last modified Thu Oct 9 16:06:49 BST 2008