16 Nov 2011, 1:04 am
WoodenBoy wrote:
"Square + cube" is actually quite meaningful for me.
There is a thing in geometry called the "Minkowski sum", which I don't think has anything in common with the Minkowski space stuff in relativity.
To obtain the Minkowski sum of two objects, you essentially replace each point in one object with a copy of the other (you get the same result whichever way round you do it).
The most relevant picture I can find is here:
You can think of that 3d figure as the Minkowski sum of a line segment and a cube.
There is a thing in geometry called the "Minkowski sum", which I don't think has anything in common with the Minkowski space stuff in relativity.
To obtain the Minkowski sum of two objects, you essentially replace each point in one object with a copy of the other (you get the same result whichever way round you do it).
The most relevant picture I can find is here:
You can think of that 3d figure as the Minkowski sum of a line segment and a cube.
judging from that diagram (which resembles a tesseract or 4D cube) of line segment plus a cube.
Then a square plus a cube would be a "Penteract", a 5D cube.
What's happening is the number of dimensions in each thing added are themselves added for the number of dimensions in the result.
16 Nov 2011, 5:19 pm
21 Nov 2011, 7:43 am
cw10 wrote:
Something like this I would imagine.
That looks like a lot of fun.
24 Nov 2011, 9:16 pm
| Similar Topics | |
|---|---|
| CNN article about the challenges of representation |
05 Mar 2024, 1:26 pm |
| definition of numbers |
05 Mar 2024, 12:29 am |
