Editing 2658: Coffee Cup Holes

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The panel as a whole references an academic joke wherein topologists can't tell the difference between a coffee cup with a handle and a {{w|doughnut}} since they're {{w|Homeomorphism|homeomorphic}} to each other — meaning they have the same genus (i.e one hole).
 
The panel as a whole references an academic joke wherein topologists can't tell the difference between a coffee cup with a handle and a {{w|doughnut}} since they're {{w|Homeomorphism|homeomorphic}} to each other — meaning they have the same genus (i.e one hole).
  
===Normal person===
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===“Normal” person===
[[Hairy]], representing a normal person, is not sure (the acronym "IDK" stands for "I don't know") and asks for clarification about whether the opening at the top counts as a hole. This shows flaws in the question, which suffers from the mathematically imprecise, ambiguous common usage of the word "hole." Topologists would refer to the opening as a concavity, not a hole, and while they consider such geometrical properties generally outside their field, most practical applications of topology do involve geometric components. By contrast, in everyday usage many concavities are called holes, such as a hole dug into dirt with a shovel. Hairy would say one for the handle, and two if the opening counts as a hole, which he is not certain the one asking the question thinks.
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[[Hairy]], representing a "normal person," is not sure (the acronym "IDK" stands for "I don't know") and asks for clarification about whether the opening at the top counts as a hole. This shows flaws in the question, which suffers from the mathematically imprecise, ambiguous common usage of the word "hole." Topologists would refer to the opening as a concavity, not a hole, and while they consider such geometrical properties generally outside their field, most practical applications of topology do involve geometric components. By contrast, in everyday usage many concavities are called holes, such as a hole dug into dirt with a shovel. Hairy would say one for the handle, and two if the opening counts as a hole, which he is not certain the one asking the question thinks.
  
 
[[File:Double torus illustration.png|thumb|left|150px|A genus two surface]]
 
[[File:Double torus illustration.png|thumb|left|150px|A genus two surface]]

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