I like the progression in your three designs, moving from the stylized leaf all the way to something that can be used as a geometric tile. Thanks for isolating down to the base element so we can more easily cut & paste as large an area as needed.
And people think that Math has no place in Art!
Trivia bit: If you use a geometric tiling (like this pattern) as a background the figures you place 'over' it will indeed look like they're floating over it - or at least that illusion is very easy for people to see. There are games you can play with the size of the tile elements to subtly enhance the effects.