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princy
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is there any specific name for a coffee cup handle in mathematics?
sutupidmath said:Torus
redbowlover said:i'm curious about the context of the question. a solid handle by itself is contractible and so mathematicians wouldn't bother giving it a name. but we often refer to "handles" when we are attaching them to other spaces. a coffee cup handle would be a 3-handle...if you attached a 3-handle to a solid ball you get a torus. in this context it makes sense to name the "handle". but i would say in general, the coffee cup handle is trivial. anyone agree?
The mathematical term for a coffee cup handle is "torus".
This is because a torus is a geometric shape that resembles a donut, and a coffee cup handle is a small ring shape that connects the cup to the handle, similar to the hole in a donut.
While there is no specific significance to using the term "torus", it is a common shape in mathematics and is often used to describe objects with a similar shape.
Aside from "torus", a coffee cup handle can also be referred to as a "cylinder" or a "loop". However, "torus" is the most commonly used term in mathematics.
The term "torus" is a specific mathematical term and may not be commonly known outside of mathematical circles. However, it is sometimes used in popular culture, such as in science fiction or video games, which may increase its familiarity to the general public.