Editing 2658: Coffee Cup Holes
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[[Ponytail]], a {{w|topology|topologist}}, states the coffee cup belongs in the {{w|Genus (mathematics)#Topology|genus}} of one hole. From the topologist's point of view, the coffee cup definitely has one hole, which corresponds to the opening created by the cup handle. A cup without a handle would have zero holes, as it is equivalent to a dinner plate, just an indentation in the surface. See [[2625: Field Topology]] for more information about topology. | [[Ponytail]], a {{w|topology|topologist}}, states the coffee cup belongs in the {{w|Genus (mathematics)#Topology|genus}} of one hole. From the topologist's point of view, the coffee cup definitely has one hole, which corresponds to the opening created by the cup handle. A cup without a handle would have zero holes, as it is equivalent to a dinner plate, just an indentation in the surface. See [[2625: Field Topology]] for more information about topology. | ||
β | The panel as a whole references an academic joke wherein topologists can't tell the difference between a coffee cup with | + | The panel as a whole references an academic joke wherein topologists can't tell the difference between a coffee cup (with handle) and a {{w|doughnut}} since they're {{w|Homeomorphism|homeomorphic}} to each other β meaning they have the same genus (i.e one hole). |
===Normal person=== | ===Normal person=== |