For those desiring to know, in a synthesis written in French, of our first discoveries made by 2002, see:

L’histoire d’une découverte (1ère partie) - http://primaluce.blogs.sapo.pt/2012/04/02/

L’histoire d’une découverte (2ème partie)  - http://primaluce.blogs.sapo.pt/90235.html

Image from: Owen Jones, La Grammaire de l'Ornement, L'Aventurine, see PL. XXVIII.

Some of the patterns above are inscribed in a Portuguese royal tomb, in Alcobaça. Then, can we presume they were not so Byzantine as they have been pigeon-holed by Owen Jones...?

See also:

http://iconoteologia.blogs.sapo.pt/2012/04/04/

http://primaluce.blogs.sapo.pt/