Visualizing the Fourth Dimension Using Color
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Re: Visualizing the Fourth Dimension Using Color
#2I always preferred the blunt "pull this part back to yesterday, when the knot wasn't, move it over here, bring it back to today, and it's unknotted" argument.
Re: Visualizing the Fourth Dimension Using Color
#3I always preferred the blunt "pull this part back to yesterday, when the knot wasn't, move it over here, bring it back to today, and it's unknotted" argument.
That's treating the 4th dimension as time, which is fine, but this article is referring specifically to the 4th spatial dimension. Sometimes pop physics type articles confusingly refer to the 4th spatial dimension as the 5th dimension.
Re: Visualizing the Fourth Dimension Using Color
#4I always preferred the blunt "pull this part back to yesterday, when the knot wasn't, move it over here, bring it back to today, and it's unknotted" argument.
That's treating the 4th dimension as time, which is fine, but this article is referring specifically to the 4th spatial dimension. Sometimes pop physics type articles confusingly refer to the 4th spatial dimension as the 5th dimension.
What exactly is the 4th spacial dimension? Since we only experience space in three dimensions, how can we assign meaning to a fourth dimension in space?
Re: Visualizing the Fourth Dimension Using Color
#5Earlier quoted context omitted.
That's treating the 4th dimension as time, which is fine, but this article is referring specifically to the 4th spatial dimension. Sometimes pop physics type articles confusingly refer to the 4th spatial dimension as the 5th dimension.
What exactly is the 4th spacial dimension? Since we only experience space in three dimensions, how can we assign meaning to a fourth dimension in space?
These may help visualize 4D space:
http://en.wikipedia.org/wiki/Fourth_dimension
http://www.instructables.com/id/How_to_draw_a_4_dimension_cu...
Re: Visualizing the Fourth Dimension Using Color
#6Earlier quoted context omitted.
What exactly is the 4th spacial dimension? Since we only experience space in three dimensions, how can we assign meaning to a fourth dimension in space?
These may help visualize 4D space: http://en.wikipedia.org/wiki/Fourth_dimension http://www.instructables.com/id/How_to_draw_a_4_dimension_cu...
The classic Flatland also helps. http://www.geom.uiuc.edu/~banchoff/Flatland/
Re: Visualizing the Fourth Dimension Using Color
#7Actually you can further extend color. Color it self is on a 3 dimensional space (RGB). Now you have 6 dimensions to play with. Although in practice I found that doing Brightness and (Red/Blue) is a good way.
If you are doing points on a multi dimensional space, you can start using various shapes (Length, Width, Height) or Number of faces. Alternatively you can also do stars with spikes coming out (more spikes per higher value), I find this the easiest to visualize rather than shape sizes.
Re: Visualizing the Fourth Dimension Using Color
#8I always preferred the blunt "pull this part back to yesterday, when the knot wasn't, move it over here, bring it back to today, and it's unknotted" argument.
That's treating the 4th dimension as time, which is fine, but this article is referring specifically to the 4th spatial dimension. Sometimes pop physics type articles confusingly refer to the 4th spatial dimension as the 5th dimension.
One might just as easily say that it's treating time as a 4th spatial dimension (offering a further 2 degrees of freedom, when our actual experience of time seems to be sadly one way, unless you read pravda). What he's suggesting is not substantively different from the color analogy.
Re: Visualizing the Fourth Dimension Using Color
#9Earlier quoted context omitted.
That's treating the 4th dimension as time, which is fine, but this article is referring specifically to the 4th spatial dimension. Sometimes pop physics type articles confusingly refer to the 4th spatial dimension as the 5th dimension.
What exactly is the 4th spacial dimension? Since we only experience space in three dimensions, how can we assign meaning to a fourth dimension in space?
Re: Visualizing the Fourth Dimension Using Color
#10There are only three spatial dimensions, and time.
If you are going to play tricks using color, you may as well use flavors and odors for a sixth dimension visualization (and any other property you may think of for further extending dimensions).
I call bullshit.