Topology question → What geometric figure?

In summary, James came across a bridge supported by parabolic arcs and encountered a strange spherical shell of exotic matter. He then stumbled upon the "well loved" formation, which was rumored to be difficult to navigate. When he touched the gelatinous substance, he felt a tingling sensation and saw no one around. The challenge is to design and explain the geometry of this mysterious well.
  • #1
ukumari
1
0
James came to a place where there was a bridge, supported by parabolic arcs. In the middle waving a transparent gelatinous substance in the form of spherical shell of exotic matter. He had come to " delighted well", a horizontal formation, which is much talk and little experienced. Slowly James put his hand without feeling almost nothing when the dive came to the elbow, he decided to move all fingers rhythmically, suddenly felt a tingling in his shoulders. Scared quickly turned to see who had done this.Oh surprise! There was only loneliness and music of the wind. If you can design and explain the geometry of the well loved, you will win this challenge.

Sorry by bad english. but I learning this language.
 
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  • #2
So, your question is?
 
  • #3
I think the question is in the title--what geometric figure (planar I think?) is this "well" that he has described.

Welcome to PF, ukumari! Your post, while very poetic, was mostly incomprehensible to me. :confused: Could you try stating the question again?
 
  • #4
uh, I think when it says "he decided to move his fingers... felt something on his shoulders... turned around to see who had done this" (paraphrasing) that there was some sort of portal / wormhole in front of him, like the part in front is glued to the part behind him.
 
  • #5


The geometric figure in this scenario is a parabolic arc, which is a curve that follows the shape of a parabola. The bridge in this scenario is supported by multiple parabolic arcs, which create a strong and stable structure. The spherical shell of exotic matter in the middle of the bridge could represent a sphere, which is a three-dimensional object with all points on its surface equidistant from its center.

The "delighted well" could potentially be a horizontal formation of multiple parabolic arcs, creating a well-like structure. The gelatinous substance waving in the middle could represent a fluid, possibly water, which would fill the well. As James puts his hand in the well, he feels a tingling sensation in his shoulders, which could be explained by the fluid's pressure on his arm.

The challenge to design and explain the geometry of the well loved could involve determining the specific measurements and angles of the parabolic arcs to create a stable and aesthetically pleasing structure. It could also involve understanding the properties of the exotic matter and how it affects the overall geometry of the well. Overall, this challenge would require a deep understanding of topology and geometric principles.
 

FAQ: Topology question → What geometric figure?

1. What is topology and how does it relate to geometric figures?

Topology is a branch of mathematics that studies the properties of shapes and spaces that are preserved through continuous deformations, such as stretching or bending, but not tearing or gluing. It is closely related to geometric figures because it deals with the characteristics of these figures that remain unchanged even when they are transformed.

2. What is the difference between topology and geometry?

Topology and geometry are both branches of mathematics that deal with the study of shapes and spaces. However, topology focuses on the properties of shapes and spaces that are preserved through deformations, while geometry deals with the measurement and properties of these shapes and spaces.

3. Can any geometric figure be classified using topology?

Yes, any geometric figure can be classified using topology. Topology studies the properties of shapes and spaces that are independent of their specific geometric properties, such as size and shape. This means that any geometric figure can be classified based on its topological properties.

4. How is topology used in real-life applications?

Topology has many practical applications in various fields, including physics, biology, computer science, and engineering. For example, it is used in the study of the shape of proteins in biology, the analysis of networks in computer science, and the design of efficient transportation networks in engineering.

5. Is topology a difficult subject to understand?

Topology can be a challenging subject for some, as it involves abstract concepts and mathematical reasoning. However, with a solid foundation in mathematics and a strong understanding of key concepts, it can be a fascinating and rewarding field of study.

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