Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
fractal |
| gptkbp:builtBy |
iterative removal of cubes
|
| gptkbp:category |
gptkb:geometry
gptkb:topology mathematical fractals |
| gptkbp:dimensions |
3
|
| gptkbp:discoveredBy |
gptkb:Karl_Menger
|
| gptkbp:firstDescribed |
1926
|
| gptkbp:fractalDimension |
~2.7268
|
| gptkbp:generalizes |
gptkb:Sierpinski_carpet
|
| gptkbp:hasProperty |
self-similar
scale-invariant nowhere dense totally disconnected |
| gptkbp:HausdorffDimension |
log(20)/log(3)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Menger sponge
|
| gptkbp:namedAfter |
gptkb:Karl_Menger
|
| gptkbp:relatedTo |
gptkb:Cantor_set
gptkb:Sierpinski_carpet |
| gptkbp:surfaceAreaAtInfiniteIterations |
infinite
|
| gptkbp:topologicalDimension |
1
|
| gptkbp:usedIn |
mathematics education
mathematical art fractal geometry research |
| gptkbp:volumeAtInfiniteIterations |
0
|
| gptkbp:bfsParent |
gptkb:Karl_Menger
gptkb:Sierpiński_carpet gptkb:Sierpiński_gasket |
| gptkbp:bfsLayer |
6
|