- #1
3D_Mind
- 2
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Hello, this is my first post here so please be kind. I have had an idea of sorts ricocheting inside of my skull for the last two weeks and wanted to see if it had any merit or was dumb. Basically, my "idea" was what would happen if one could graph, say, y=x (for simplicity, where x>0) in a series of "steps".
For example, at, say, t=1, the line y=x would actually be a line segment from 0<x<1, then at t=2, it would "draw" out to now be a segment of y=x from 0<x<2, and so on. It could "jump" like this or draw with an arbitrary level of resolution (ie, in increments of 0.1, or 0.01 or whatever, instead of 1).
If I was to instead "turn the knob" backwards and reduce t, it would "un-draw". Basically, I could adjust t and have the graph extend or contract by some arbitrary but related amount. If this makes sense, how would I go about formally writing this out? I was thinking of using parametric equations but they don't quite behave how I want them too. Thoughts? Thanks!
For example, at, say, t=1, the line y=x would actually be a line segment from 0<x<1, then at t=2, it would "draw" out to now be a segment of y=x from 0<x<2, and so on. It could "jump" like this or draw with an arbitrary level of resolution (ie, in increments of 0.1, or 0.01 or whatever, instead of 1).
If I was to instead "turn the knob" backwards and reduce t, it would "un-draw". Basically, I could adjust t and have the graph extend or contract by some arbitrary but related amount. If this makes sense, how would I go about formally writing this out? I was thinking of using parametric equations but they don't quite behave how I want them too. Thoughts? Thanks!