About geometry

So lets say:

x^1 is a point.

x^2 is a line.

x^3 is a point in 3d.

x^4 is its (x,y,z,a) point, or 4 dimensional point.

Given a square, and a cube is an extension of 2 dimensions, it has

2^1 is 2 points,

2^2 is 4 lines

2^3 = 8 points in 3d as a cube,

and 2^4 = 16 points in 4d space.

Given PI is about number 3, and its basic shape is a cirle or sphere, then:

3^1 points (its centre)

3^2 is 9 lines

3^3 = 27 points in 3d

and 3^4 = 81 points in 4 dimensional space.

Comments

  1. PsimythDecember 19, 2022 at 1:06 AM

    Compare with equations for surface area and volume, and what could be its '4 dimensional space object 'volume'''

    ReplyDelete
  2. PsimythDecember 19, 2022 at 1:13 AM

    Hence, what we call a sphere is an irrational object. Because the centre of a sphere should be PI^1 maybe? And it has PI^2 lines? Etc.

    ReplyDelete

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