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No, a sphere is not equivalent by distortion to a torus. A sphere is a simple closed surface with no holes, while a torus has a hole in the middle. In topological terms, they belong to different categories, as a sphere has a genus of 0 and a torus has a genus of 1. Therefore, they cannot be transformed into one another through continuous deformation (homeomorphism).
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What is difference between torus and sphere?
A sphere is round - like a tennis ball. A torus is ring-shaped - like a donut !
What is topology and example?
Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
What solid figure has 0 flat surfaces and 0 vertices?
A sphere or torus (a donut).
Which 3d shape has only 1 face and the face is curved?
Sphere, torus, moebius strip
What shape has 0 flat surfaceas and 0 vertices?
A blob, an ellipsoid, a torus (doughnut), a sphere
What is difference between torus and sphere?
A sphere is round - like a tennis ball. A torus is ring-shaped - like a donut !
What is topology and example?
Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
What solid figure has 1 curved side?
An ellipsoid, a sphere, a torus to name a few.
What solid figure has 0 flat surfaces and 0 vertices?
A sphere or torus (a donut).
Is a standard coffee mug equivalent by distortion to a solid donut... Explain why or why not?
A standard coffee mug is not equivalent to a solid donut (torus) by distortion because they have different topological properties. A coffee mug has one hole (the handle), while a solid donut has a hole in the middle but is a continuous surface without any handles. In topology, objects that can be transformed into one another without cutting or gluing are considered equivalent, and since a mug and a donut differ in their fundamental structure, they are not equivalent by distortion.
Which 3d shape has only 1 face and the face is curved?
Sphere, torus, moebius strip
What 3d shape with no vertices or edges?
A sphere, ellipsoid, torus (doughnut), and many more besides.
What solid figure has no vertices?
A sphere, an ellipsoid, a torus (donut), an irregular blob with no pointy bit.
What shape has 0 flat surfaceas and 0 vertices?
A blob, an ellipsoid, a torus (doughnut), a sphere
What is leonhard euler's rule for corners edges and faces?
For a simply connected convex polyhedron , that is, shapes that are topologically equivalent to a sphere, F - E + V = 2 where F = faces, E = edges and V = vertices. For shapes that are topologically equivalent to a sphere with one hole in it (torus or doughnut shape), F - E + V = 0 For shapes that are topologically equivalent to a sphere with two holes in it F - E + V = -2 For shapes that are topologically equivalent to a sphere with three holes in it F - E + V = -4 and so on.
What 3d shape has one curved?
A sphere, a cone, a section of a sphere or ellipsoid, a torus (doughnut) sliced by a plane perpendicular to its axis, a paraboloid. These are some examples.
What shape has 2 curved edges?
A sphere with two slices cut out of it by planes. A torus (doughnut) with a chunk taken out of it.
