I saw this amazing sliceform torus on YouTube, thanks to a link from Jorge Jaramillo (commented on this great set of sliceforms by Joan Michaels Paque.) I shouldn’t be browsing around Flickr, as I’m on a self-imposed Flickr hiatus, but Sunday’s a day of rest, so I treated myself to a few minutes of browsing

The coolest part of the video is the way the model folds flat and pops back into 3D!

The creator of this fantastic sliceform says this, on the YouTube commentary:

This torus has been made as a Sliceform.

It is a paper model made from two sets of slices of the torus.
It folds flat because the intersection of each set of slices acts as a hinge.
The slices are cut so that one set includes the Villarceau circles.
For more on Sliceforms do a web search with Google.
See www.tarquinbooks.com for books of models to cut out and ways to explore the mathematics of surfaces using Sliceforms.

Check it out, it’s worth a look. Lots of great people are doing sliceform stuff these days [1][2][3], maybe it’s time to give it a go?

If you’re looking to get started into Sliceforms, most definitely check out this website:

http://www.mathsyear2000.co.uk/explorer/slice/index.shtml

It covers what they are, how they are made, has templates for downloading, the whole thing. This is definitely a great opportunity to put a CraftROBO to work…