mdlbear: (120-cell)

The good: got in my walk at lunchtime. The good one, taking the hill both ways. Got a fair amount done, besides: made it through the patent application I'm reviewing the draft of, and got started on tech reports.

The bad: it took me over an hour to get to work, thanks to a serious accident on I280. Youch!

The beautiful: when I finally did get to work, the little 120-cell I ordered yesterday was sitting there waiting for me. It's gorgeous; you can really get lost in there. Pix tomorrow maybe.

Math lust

2007-01-22 11:46 am
mdlbear: (120-cell)
Rapid Prototyping Models --- George W. Hart
As a sculptor I am necessarily interested in three-dimensional geometry. As a hobby I am also interested in the mathematics of four-dimensional geometry. From a 4D object, one can calculate 3D "shadows" which are often beautiful but very complex objects. RP machines can easily produce these structures, which are stunning to look at even if one doesn't understand the underlying higher-dimensional ideas behind them. Below are two examples of such models; I hope in the future to be able to provide models for some algebraic surfaces and other interesting mathematical forms.
(from this post by [livejournal.com profile] wendyg.) I'm seriously lusting after the 120-cell (see userpic for a different view of the beast).

update: on order (the cheaper, mini version). My publishing company is HyperSpace Express -- it's a business expense.
mdlbear: blue fractal bear with text "since 2002" (Default)

New World Notes: -- AND HE REZZED A CROOKED HOUSE

In Robert A. Heinlein's classic short story, “—And He Built a Crooked House”, a cheerfully deranged architect builds a Los Angeles home shaped like a tesseract, a four dimensional hypercube. His idea is to invent a revolutionary new building that'll save space (after all, if a home exists in four dimensions, you get a lot more square footage to work with), but an earthquake shifts the house into still another dimension. And then things start to get strange from there.

Things get odd in the crooked house of Seifert Surface, located hundreds of meters up above an island called, appropriately enough, The Future. But it doesn't require an earthquake. To enter the hyper-dimensionality of Seifert’s home, all that’s necessary is to push the big button on the marble table in the foyer.

... it does, however, require a virtual reality. The article goes on to explain how a Stanford math student programmed the house in the online roleplaying game Second Life. Apparently it's done by moving rooms around, and only works right for only one user at a time. It would be interesting to speculate on just what kind of game software would be required to allow this sort of thing to be done right. R'lyeh, anyone? But that way madness lies.

(from Boing Boing)

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