Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:paradox
|
| gptkbp:alsoKnownAs |
gptkb:Gabriel's_Horn_paradox
gptkb:Paradox_of_the_Painter |
| gptkbp:category |
mathematical paradoxes
|
| gptkbp:describes |
a solid of revolution with finite volume but infinite surface area
|
| gptkbp:example |
counterintuitive result in mathematics
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics calculus |
| gptkbp:firstDescribed |
gptkb:Evangelista_Torricelli
17th century |
| https://www.w3.org/2000/01/rdf-schema#label |
Painter's paradox
|
| gptkbp:implies |
a finite amount of paint can fill the horn, but an infinite amount is needed to paint its surface
|
| gptkbp:originatedIn |
rotating the curve y=1/x for x≥1 about the x-axis
|
| gptkbp:relatedTo |
gptkb:Gabriel's_Horn
|
| gptkbp:surface |
infinite
|
| gptkbp:usedIn |
teaching calculus and infinite series
|
| gptkbp:volume |
finite
|
| gptkbp:bfsParent |
gptkb:Torricelli's_trumpet
|
| gptkbp:bfsLayer |
6
|