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Patreon: / matesmike Channel members: / @matesmike Instagram: @mates.mike Twitter: @mike_mates We draw a line. Then a circle, and finally a sphere. In this video we will call them all spheres, but each in its respective dimension, 1, 2, and 3. So we can ask ourselves, is there any way to visualize the 4-dimensional sphere? Well, this is precisely what today's video will be about. In addition, we will also see why the area of the circle of radius r is pi times r squared, and the volume of the sphere 4 divided by 3 times pi times r cubed. And not only that, but I will teach you how to obtain the hypervolume in any dimension. ►►SOME VIDEOS: ►SAGA OF INFINITY: • The Hotel Paradox With Infinite H... ►HOW ARE NUMBERS BUILT? ℕ, ℤ, ℚ, ℝ, and ℂ. • Why are the NUMBERS NECESSARY?... ►4/π is the AVERAGE distance of two points on a CIRCUMFERENCE! • 4/π = Average Distance of Two Points on a CIRCUMFERENCE... ►Understanding the most beautiful equation: • The most BEAUTIFUL EXPRESSION in MATHEMATICS... ►How many squares are there on a chessboard? • How many SQUARES are there on a CHESSBOARD?... ►Equations and fractals: • How to CREATE FRACTALS with POLYNOMIALS ...