Terrace/Balcony Slates?

Good day, hope all is well. I kind of had this question lingering in my mind for years, and I want to give it a shot once I find the right materials. Does anyone know how the following process is done for a balcony? Also what are the best materials to use for this kind of project? Attachment 45621 (http://www.doityourself.com/forum/attachments/fences-posts-gates/45621-terrace-balcony-slates-image1.jpg)Attachment 45622 (http://www.doityourself.com/forum/attachments/fences-posts-gates/45622-terrace-balcony-slates-image2.jpg)