Dreams

Dreams have always been an intriguing subject to me and I try to remember them, analyse them and find a pattern in them for personal amusement. Based on a few recent experiences, I would like to list down a few observations on my dreams:

1. The more tired you are at the time of sleeping, the more number of dreams you have that night. This might be because of the fact that you tend to be in a deep sleep for more hours when you are tired. Normally you don't remember the dreams (or all the dreams) when you wake up in the morning; Does tiredness change that part and make you recollect more dreams? Do you always see a fixed number of dreams at night?
2. The tiredness is also proportional to the weirdness/irrelevance/randomness of the dream. e.g. Recently I was very tired after playing of cricket/volleyball and I had a series of dreams where I found random people (known/unknown) together. Some of them have never met in real life and some were not even remembered in recent past by my conscious/sub-conscious mind!
3. Dreams are colourful. There has been a myth that dreams are black and white but I am very confident about dreams being colourful and I do remember seeing different colours. (Will try to remember exact colours and context [Now that's a real exercise])
4. It is possible to have dreams inside dreams. Sounds like 'Inception' but it's true and I have experienced a similar thing. (Not in recent past though)

More observations are welcome!