Here’s a few helpful terms while looking for inspiration:
Thin Veneer
Approximately 1" Thick
Lesser weight can be supported by wall
Full-Depth Veneer
Approximately 3-5" Thick
Typically requires a footing foundation
MCV (Machine Cut Veneer)
Edges of stone are mechanically chopped resulting in a more organic and irregular aesthetic
Dimensional
Top and bottom of stone are sawn to specific heights with random lengths for a more uniform look