The Raspberry Pi is a wonderful platform for learning electronics and coding. There are already plenty of kits available for it that can help you get started faster. Take the PicoCube for instance: it comes with everything you need for you to program your own 4x4x4 LED cube. It has 64 individually addressable nodes. You can control its patterns from your mobile device.
The PicoCube runs on 5V power. It is available in assembled and unassembled versions. A bunch of add-ons are also available for it, including a USB finger board, 1.28″ round LCD hat or 1.14″ LCD HAT for Pico. You can find this project on Kickstarter.