Randomized 3D-style SVG objects with opening up effects

See attached picture. I need to create a randomized 3D crystal (with solid colors, no reflections) like in the pictures attached. Project brief: The thumbnail attached here is an example of what I need. My website will have a small navigation menu, with project / client name, for example: "CWT". When hovering on the project name in the small menu, the big crystal will change in shape to something else randomized, with a new color (which I will decide for each project). Each project in my portfolio will have a thumbnail, with a title & the spinning crystal in the background. I need each project to have a randomized 3D crystal in the background, that every time the page will be refreshed the crystals will change. When clicked - the crystals will open like wrinkled paper into a full-screen project preview with content inside about my project (website / print design).