3D Blocking

 It makes me sad to find doilies at Goodwill for 25 or 50 cents. I know someone spent HOURS making the item and someone else didn't appreciate her efforts.

 This doily needs a different blocking technique to be shown at its best.

 First layer stretched in a circle.

 Second layer of points held up and out.

 All around.

 Plenty of space in the middle for a vase.

You could also use small wads of waxed paper to hold the spaces open.

I preferred the toothpicks for this pointed doily.
My grandma sometimes used sugar water as a stiffener. It didn't last well in a humid summer and attracted ants. I like my spray starch. White craft glue is even better for projects which need to be stiffer.