The discussion revolves around the concept of volumes in different dimensions, particularly focusing on the attributes of one-dimensional and higher-dimensional objects. Participants explore the implications of dimensionality on area and volume, questioning how these concepts apply to mathematical objects like lines, points, and shapes.
The discussion is ongoing, with various interpretations being explored regarding the attributes of different dimensional objects. Some participants provide clarifications on the definitions of points, lines, and shapes, while others raise questions about the implications of fractional dimensions and specific examples like the Koch Snowflake and Sierpenski Sponge.
Some participants note that the original inquiry was not a homework question, indicating a more exploratory nature of the discussion. There is also mention of a change in forum layout affecting the ability to mark threads as solved.
oh wasn't a homework question, was just wondering myself. I appreciate it though! Also, I use to be able to mark my thread as solved with the old layout. Where is the button on this new one??FactChecker said:You are correct, but there is a way to represent that fact using ##dx## or ##\partial x## and ##f(x)##. They might want that for an answer.
Looks as though there is NO such button now.r0bHadz said:oh wasn't a homework question, was just wondering myself. I appreciate it though! Also, I use to be able to mark my thread as solved with the old layout. Where is the button on this new one??
No, the volume is zero. It has a length, but no area.r0bHadz said:I would assume that it has some area even if it is really really small. But I guess a line implies that the left and right boundaries are going to the middle an infinite amount, so it has area =0? does anyone get what I mean?
And to elaborate, a point is a mathematical object of dimension zero -- no length, width, or height.fresh_42 said:No, the volume is zero. It has a length, but no area.