Tyler

is a lacto-phobic, left-handed media production specialist, writer and web junkie in the Portland, OR area. This is his blog.
is a lacto-phobic, left-handed media production specialist, writer and web junkie in the Portland, OR area. This is his blog.
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  • This morning, I’ve been messing around with drawing dimensions past the fifth dimension. I’m a shitty artist compared to a lot of Tumblr, but this is freaking cool. Think about this: 
A Line is a Dot extended in any direction. 
A Square is made when you move that Line one unit length perpendicular to itself. 
If you move that Square one unit length perpendicular to the plane that it’s drawn on, it becomes a Cube. Now you’re playing with the Third Dimension. 
Now if you take that Cube and move it one unit length into the Fourth Dimension (Not quite perpendicular to the Third Dimension), you create a Four-Dimensional unit called a Hypercube. 
With the Hypercube, you can continue this pattern (using math!) to demonstrate an infinite number of dimensions. 
So in theory, you should be able to (given a fine enough pencil and a large enough piece of paper) draw a unit on the twelfth dimension (a “dodekeract”) on a two-dimensional plane. So that’s one of the things that blows my mind, but here’s the other thing:
A Dot is a Hypercube representation of the 0th dimension. A Line is a Hypercube of the 1st Dimension, a Square of the 2nd, etc.
So you can go to all of this effort to stretch your mind into drawing a hypercube and representing the 4th Dimension, but if you’re thinking about it terms of dimensions, all of these shapes are actually the same shape. I don’t care how into math you are, that’s frakking awesome.

    This morning, I’ve been messing around with drawing dimensions past the fifth dimension. I’m a shitty artist compared to a lot of Tumblr, but this is freaking cool. Think about this: 

    1. A Line is a Dot extended in any direction. 
    2. A Square is made when you move that Line one unit length perpendicular to itself. 
    3. If you move that Square one unit length perpendicular to the plane that it’s drawn on, it becomes a Cube. Now you’re playing with the Third Dimension. 
    4. Now if you take that Cube and move it one unit length into the Fourth Dimension (Not quite perpendicular to the Third Dimension), you create a Four-Dimensional unit called a Hypercube. 
    5. With the Hypercube, you can continue this pattern (using math!) to demonstrate an infinite number of dimensions. 

    So in theory, you should be able to (given a fine enough pencil and a large enough piece of paper) draw a unit on the twelfth dimension (a “dodekeract”) on a two-dimensional plane. So that’s one of the things that blows my mind, but here’s the other thing:

    A Dot is a Hypercube representation of the 0th dimension. A Line is a Hypercube of the 1st Dimension, a Square of the 2nd, etc.

    So you can go to all of this effort to stretch your mind into drawing a hypercube and representing the 4th Dimension, but if you’re thinking about it terms of dimensions, all of these shapes are actually the same shape. I don’t care how into math you are, that’s frakking awesome.

    • 10 months ago
    • 10 notes
    • #math
    • #shapes
    • #hypercube
    • #dimensions
    • #drawing
    • #awesome
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