The set of Pythagorean triple is three dimensional and infinitely large.
Three dimensional space.
It could be a plane.
There are two two-dimensional figure with an infinite length. They are rays, and lines.
three dimensional
A three-dimensional circle is called a sphere.
Geometric space is three dimensional and infinitely large.
A plane.
Three dimensional space.
Lines in Euclidean space.
When a three-dimensional figure is extended infinitely in all directions, it forms a three-dimensional space, often referred to as a "solid" or "spatial region." This concept can be exemplified by extending a cube infinitely, resulting in an infinite three-dimensional space that maintains the properties of the original shape but does not have defined boundaries. In mathematical terms, this can also relate to the concept of a "volume" that spans infinitely.
It is a plane.
It could be a plane.
geometric space
A concept that is three-dimensional and infinitely large is the universe itself. It encompasses all of space, matter, and energy, extending in three dimensions—length, width, and height—without any known boundaries. While we can observe a finite portion of the universe, its overall extent remains infinite and beyond complete comprehension. This infinite nature poses challenges in cosmology and our understanding of the cosmos.
When a three-dimensional figure is extended infinitely in all directions, the result is typically a four-dimensional object known as a hypervolume or a spatial manifold. This concept can be visualized as an extension of the original figure's properties into an additional dimension, creating an infinite expanse that maintains the structure of the original three-dimensional shape. For example, extending a cube infinitely in all directions forms a hypercube or tesseract in four-dimensional space.
No, it is not.
A two-dimensional and infinitely large concept refers to a mathematical plane, such as the Cartesian plane. This plane extends infinitely in all directions, allowing for the representation of points, lines, and shapes without any boundaries. In this context, every point on the plane is defined by a pair of coordinates (x, y), making it an essential concept in geometry and calculus.