Could you explain a little more about that?
A Part:
Here is a very extensive thread about the polyrhythms started by a very good bass guitar teacher and a superb Pro bass player, Adam Neely:
4:3 Polyrhythms in top 40 music
P.S. Just a note about using the polyrhythms IMHO
1. - Be careful, it's an interesting and a
powerful tool which requires some advanced rhythmic skills from the bass player/drum player/other band musicians, and should be used carefully/
in moderation (what is "
in moderation?") in Pop music. Poor articulation/rendition of polyrhythms/rhythmic displacement could easily become your band's rhythmic nightmare.
B Part.
Sometimes I feel that in my bass playing, I'm just playing the chords.
Just think about the rhythm guitar player! What a boring occupation

!
It just feels like "following the rules" and doing all the right chord tones, scales, modes and whatever, gets boring and not creative enough.
I TOTALLY agree with your statement about "
following the rules". Last Saturday night, I got a "Disregarding Red Light" ticket

. It was late, raining, no cars on the road, I was tired, and wanted to get home. - Do I need to follow the rules

?
To sum up.
While I'm playing

alone in the morning on my patio, I DON'T need to "follow the rules"

- I'm not endangering ANYBODY'S life, but when I leave my house, I, more or less, must follow the rules

.
I'm just illustrating the music that someone else wrote.
1. WRITE YOUR OWN MUSIC BASED ON YOUR OWN RULES OR NO RULES!
2. CREATE YOUR OWN BAND!
How can I add more life and originality into my bass lines? Are there certain situations where I don't have to play the root and I can play something else? And how can I make the bass contribute new things into the harmony?
"As you work on your next song, it's a good idea to think about how the melody line and bass line work together. That concept of the melody and bass line "working together" may not have ever been something you've given thought to before, and you may wonder what those two lines can possibly have to do with each other. But considering how they move together can give power to both lines."
Read here:
4:3 Polyrhythms in top 40 music
"You've got a great melody and a chord progression that works. So what can you do to add life to your song? Activate the bass line. Making the bass line do something other than just sitting on the chord root gives life to that aspect of the song, and will increase the energy level. In that sense, you can almost consider the bass line to be a second melody."
Treating the Bass Line as a Second Melody