AN Odject has how many dimensions?
Answers
Answer:
The 2-dimensional shapes or objects in geometry are flat plane figures that have two dimensions – length and width. Two-dimensional or 2-D shapes do not have any thickness and can be measured in only two faces.
TELL ME IS IT RIGHT OR WRONG....!!
Answer:
The concept of dimension is surprisingly subtle. The mathematics invented by Georg Cantor and his contemporaries famously showed that, contrary to intuition, it is possible to specify a point in 2-dimensional space using only a single real number. To make this precise, we need the concept of a bijective function. What Cantor's mathematics shows is that, contrary to intuition, there exist (many) bijections
R→R×R.In some sense, this is saying that the set R×R is (rather paradoxically) "no bigger" than R.
To make matters worse, Giuseppe Peano (born 13 years after Cantor) managed to construct a space-filling curve; a continuous function
[0,1]→[0,1]×[0,1]
that, rather miraculously, manages to be surjective.
What this all means is that, like I said, the concept of dimension is rather subtle. One might speculate that fundamentally, this concept actually makes no sense. The good news is that, in fact, the concept of dimension does make sense. The bad news is that the definition is pretty complicated, and needs to be built up in two stages.
