There is more of a negative connotation with that. A better word would perhaps be unique or unusual.
more peculiar, most peculiar
The word with these synonyms is "quaint." Its relationship to picturesque and curious is due to the connotation of old, outdated, rather than modern, and therefore different from current times.
That is peculiar smell in the kitchen. I find it peculiar that Bob only speaks to rabbits.
more peculiar, most peculiar
There was a peculiar smell in the room. The laughing loon has a peculiar cry.
The verb form of peculiar is "to be peculiar."
It is a neutral connotation.
Negative connotation
It is a negative connotation.
uneasy is negative connotation
A general connotation for infinity is forever, but because connotation is dependent on the individual reader, the connotation varies.