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A space can be two-dimensional and infinite if it does not have defined bounds. Mathematically, this usually means no restrictions on the domain or co-domain of the two-dimensional space.

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Can two planes in three dimensional space intersect at one point?

No, the two planes intersect at a line, which is an infinite number of points.


What is a two dimensional space formed by an infinite set of points?

There is no such thing as a two-dimensional space. By virtue of being a space, you are talking three dimensions. It sounds like what you're really asking is: What is a two-dimensional AREA bounded by an infinite set of points (or infinite number of sides - same thing)? Typically, that would be a circle...however you didn't specify the points all had to be equidistant from its center so it could be any irregular shape containing at least one curve (any curved portion would automatically have to contain infinite points). The best way to ask the question so that the only answer would be 'a circle' is: What is a two-dimensional area formed by an infinite set of points, all of which are equidistant from its center?


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What figure is two dimensional and have infinite length?

There are two two-dimensional figure with an infinite length. They are rays, and lines.


What are the properties and applications of an infinite-dimensional Hilbert space?

An infinite-dimensional Hilbert space is a mathematical concept that has properties such as being complete, having an inner product, and being separable. It is commonly used in quantum mechanics and functional analysis to study functions and vectors in an infinite-dimensional space. Applications include quantum mechanics, signal processing, and machine learning.


How many miles is Uruguay?

A mile is a set distance of space between two points. Because of the one dimensional nature of such measurements, it can be said that there are an infinite number of miles within Uruguay. This is because one dimensional objects don't take up any space in a two- or three dimensional world, since lines are infinitesimally thin, and points are infinitesimally small. By not taking airspace into account, we can gladly say that Uruguay does take up a measurable amount of two dimensional space. At the same time however, it still takes up an infinite amount of miles because a mile is a one dimensional measurement of space.


3-d environment that contains infinite space and depth?

A VR world is a three-dimensional (3D) environment that contains infinite space and depth.


The amount of space occupied by a two dimensional figure?

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A two dimensional object that is infinite in both directions is?

A plane


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Is space two dimensional?

No.


Is there really such a thing as two dimensional space?

Many of us have experience with two dimensional space. We create graphs on 2-D space. Take a sheet of paper, draw an x and a y axis on it, and go to town. This two dimensional space is as real as three dimensional space around (and including) it.