It must be some kind of a texture mat, they have the same thing on other cakes on pinterest. Here's one https://www.pinterest.com/pin/254734922646687271/
The last ones just look like plain fondant.
I forgot to mention that their website says they only use rolled white chocolate (which would be candy clay), not fondant. So that's how you can get that precise pattern on the cake without stretching the diamonds out of shape.
Mesh produce bag. http://www.myhappycrazylife.com/make-a-mesh-produce-bag/
Fluorescent light cover. I bought mine at Home Depot