I started making vases appropriate for flowering arranging in the early 80's and have often revisited this idea. Vases appropriate for flower arranging is an odd name but so is flower brick. Basically the shape I am referring to has a holder for water and a lid with holes. The stems of the flowers slide into the lid holes and the interlocking stems can easily be arranged to create a harmonious bouquet of flowers.
Maybe the word flower brick originated from brick shapes which held flowers. Maybe vases appropriate for flower arranging originated from some Victorian vase designs. I have never been able to come across concrete historical information explaining these types of vase designs.
Regardless of the proper historical terms or definitions, I just love these vessels. This image is a close up of a vase I made last year.