Start with ¾" plywood that is twice as wide as the depth of the cabinet and as long as one side and top/bottom. I crosscut the top and bottom off of one end and set it aside. Then, using a ½" dado stack in my table saw, I cut a series of ¼" deep dadoes across the sides. Make the spacing between them uniform so that the drawers are interchangeable. Finally, rip the sides and top/bottom in half to separate them and assemble the cabinet however you please. If you want to hang it on a wall, attach a French cleat to the back at the top and a batten of equal thickness at the bottom.
The shelf in the first picture is made of red oak plywood. You can choose the wood type, color and design as you like for your project. In case if you need more help understanding this project, you can refer the source link below. It discusses various items used, steps and tips and personal experience of the author who personally built a Zigzag shelf.
I am sharing here a link to the detailed tutorial written by Pete at diypete.com, who shares the step by step process for making a wonderful barrel coffee table from scratch. He also tells you what items you’ll need for this project and where to find them. For example, you can buy an old whiskey barrel online or from a local whiskey store for a few bucks, if you haven’t already got one.