The Flower was designed by Román Díaz. The diagram can be found in the 5th issue of the magazine 4 Esquinas. The magazine 4 Esquinas is an excellent online publication that can be downloaded for free. It includes origami diagrams and very interesting technical articles.
The Chinese Vase is a traditional model, that is also known as Verdi's vase. The diagram can be found in this link (look for Verdi's Vase).
I folded the flower from an 8" (200 mm) square of artisan paper and the vase from a 8" (200 mm) square of batik paper.
The folding sequence of the flower involves a lot of pre-creasing and then a final collapse. The folding sequence of the vase is almost the opposite: Many collapsed creases and then a final "un-collapse."