Peano curve (nonfiction): Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
In [[geometry (nonfiction)]], the '''Peano curve''', discovered by [[Giuseppe Peano (nonfiction)]] in 1890, is the earliest known space-filling curve. | [[File:Peano_curve.svg|260px|thumb|Three iterations of the Peano curve.]]In [[geometry (nonfiction)]], the '''Peano curve''', discovered by [[Giuseppe Peano (nonfiction)]] in 1890, is the earliest known space-filling curve. | ||
Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective. | Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective. | ||
Revision as of 22:34, 3 September 2016
In geometry (nonfiction), the Peano curve, discovered by Giuseppe Peano (nonfiction) in 1890, is the earliest known space-filling curve.
Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective.
Peano was motivated by an earlier result of Georg Cantor (nonfiction) that these two sets have the same cardinality. Because of this example, some authors use the phrase "Peano curve" to refer more generally to any space-filling curve.
In the News
Fiction cross-reference
Nonfiction cross-reference
External links:
- Peano curve @ Wikipedia
- Space-filling curve @ Wikipedia