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What is a dimension? In 3D…and 2D… and 1D



minutephysics

1D – it’s the new 3D!

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Minute Physics provides an energetic and entertaining view of old and new problems in physics — all in a minute!

In this episode we talk about dimensions and how we know that we live in 3D (or do we?).

Music by Nathaniel Schroeder
youtube: http://bit.ly/pakJLE
myspace: http://mysp.ac/qtmZQj Created by Henry Reich

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47 thoughts on “What is a dimension? In 3D…and 2D… and 1D
  1. Well minute physics, a cube does not have as many points points as it’s side, it has more. Using the axiom (schema) of specification, a cubes volumes (A) contains all points of it side (B and part of x) so a cube contains more points than it’s sides.

  2. Just so your brain doesn't hurt:

    0D: (not in video) a dot

    1D: A line

    2D: multiple lines creating shapes

    3D: multiple shapes folding to create stuff

    4D: (not in video) hell

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  4. Could it be that our definition of volume contains some kind of bias that gives us the illusion that the volume is 3-dimensional rather than 1-dimensional? Could it be that since we created Mathematics in a seemingly-3-dimensional world, we cooked up mathematical definitions to conform with our perceived illusion?

  5. No…. no…
    No…

    That's not how space-fillling curves work…

    The cardinalities of 1D and 2D space (finite or infinite—they're the same) are the most basic examples of "this infinity is biggger than that infinity"… aren't they?

    Have I beeen wrong alll my life?

    Can I @3Blue1Brown or something?

    I'm so confused…

  6. Okay but what is the third factor in the third dimension? What does z equal? This doesnt feel like it should be so hard to find.

  7. Actually you can't give a 2D (or 3D) position with one coordinate on a square (or cube) filling curve, because except the origin, all points are at distance infinite from the origin.

  8. Basically imagine 1D being a line/radius, 2D being the whole circle (because it’s squared), 3D being a sphere because the radius is cubed, and 4D…. idfk.

  9. Does that mean that something 1-dimensional has a infinitely small second dimensional lenght/width (idk how to call that) or that they have none such thing and their second dimensional width/length is 0?

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