Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
space-filling curve
|
| gptkbp:continuity |
true
|
| gptkbp:dimensions |
1
|
| gptkbp:fills |
unit square
|
| gptkbp:firstDescribed |
1890
|
| gptkbp:form |
gptkb:topology
mathematical analysis fractal geometry |
| gptkbp:generalizes |
space-filling curves
|
| gptkbp:hasProperty |
recursive construction
nowhere differentiable self-similar |
| https://www.w3.org/2000/01/rdf-schema#label |
Peano curve
|
| gptkbp:isFractal |
true
|
| gptkbp:isInjective |
false
|
| gptkbp:isSurjective |
true
|
| gptkbp:namedAfter |
gptkb:Giuseppe_Peano
|
| gptkbp:provenBy |
existence of continuous surjection from interval to square
|
| gptkbp:relatedTo |
gptkb:Hilbert_curve
gptkb:Moore_curve gptkb:Sierpinski_curve |
| gptkbp:bfsParent |
gptkb:Giuseppe_Peano
gptkb:Gosper_curve |
| gptkbp:bfsLayer |
5
|