Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun analysis A
space-filling curve in the 2-dimensionalplane .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
Named after its discoverer, Giuseppe Peano.
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Examples
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hernesheir commented on the word Peano curve
Imagine the familiar screen-saver consisting of an ever-growing and contorting pipeline. A Peano curve is a 2-dimensional example of such a a space-filling curve whose iterations eventually fill the unit square. See the wiki page.
November 4, 2011
sionnach commented on the word Peano curve
Yes, that's all well and good. But how is it possible to fill the unit square, which we can all agree to have (Lebesgue) measure one, with a curve, whose measure must always be zero, even in the limit. Eh?
November 4, 2011
hernesheir commented on the word Peano curve
They told me if I voted for ___________ this sort of question would severely limit my credibility. I don't know, sionnach.
November 4, 2011
bilby commented on the word Peano curve
The solution lies in a plane consisting of finite field 'F'of prime power order 'q' , where abjective function from the curve having (Le Biscuite) measure zero, itself respecting but not obsequiously so the operants of sedition and nutterfication, subfield of K, a transautomorphism of K which fixes every element of the pipe which wends itself snakelike thorugh the scintillating bezels of browser corners, B, thus foreploding an extirpolation resulting in the abovementioned plane being hijacked and summarily diverted to Onepusu, Solomon Islands (airport code ONE).
November 5, 2011
hernesheir commented on the word Peano curve
OMG (Omega Airport, Namibia), Bilby! Thanks for ONE - *yoinked* to my list of obscure airport codes, to which you're more than welcome to continue to add.
November 5, 2011
frogapplause commented on the word Peano curve
Not to be confused with the Beano curve.
November 5, 2011
leaden commented on the word Peano curve
See also Hilbert curve.
November 6, 2011