Love your videos - just a note on this one though, its 2D staying 2D, rather than 1D becoming 2D. The lines depicted have thickness ( a second dimension). If the lines were truly 1D (even if repeated infinite times) there would always be gaps between them. Imagine zooming in with every division, you'd notice the same amount of space between lines as when you started. Otherwise great stuff - nice music too
Hi! Actually I have to tell you, fractals have a weird geometry and when converging to infinity things change. Many fractals have a number of dimensions even irrational numbers, which is counter intuitive. If you search about fractal dimensions you'll find a lot of resources about it
Yeah, and there's also lines in 3-dimensional space, 4-dimensional space, 5-dimensional space, etc. Kinda crazy to think about. A line is one of the only (if not THE only) mathematical object to maintain it's form in higher dimensions.
Nice video :D
But now i want 2D becoming 3D
New numb3r tr33 upload :)
If 0D ( 0th dimensional )* The number of them side by side approaches infinity, they'll be a 2D (2 dimensional ) too.
§ Zero Dimensional is a point §
Love your videos - just a note on this one though, its 2D staying 2D, rather than 1D becoming 2D. The lines depicted have thickness ( a second dimension). If the lines were truly 1D (even if repeated infinite times) there would always be gaps between them. Imagine zooming in with every division, you'd notice the same amount of space between lines as when you started.
Otherwise great stuff - nice music too
Hi! Actually I have to tell you, fractals have a weird geometry and when converging to infinity things change. Many fractals have a number of dimensions even irrational numbers, which is counter intuitive. If you search about fractal dimensions you'll find a lot of resources about it
Oh right - thank you, I didnt know about that @@Numb3rTr33
The music is painful, but the rest is nice
I'll change it next time!
What's so painful about it?
@@Numb3rTr33I just want to know what it's called
Just because it’s a continuous line doesn’t mean it’s 1D tho
Yeah, and there's also lines in 3-dimensional space, 4-dimensional space, 5-dimensional space, etc.
Kinda crazy to think about. A line is one of the only (if not THE only) mathematical object to maintain it's form in higher dimensions.
How about a point?
@@damianzieba5133 A point is dimensionless
Wouldn't it be a 1d manifold?
@@Infa_65 A circle is a 1-dimensional manifold. A line is a 0-dimensional manifold.