The red gem resets your double jump and the purple one resets your dash. The way I did it was jump, jump, red gem, jump, dash, purple gem, dash. I think you actually dont need the second dash if you space out the jumps and first dash.
Woops, that's it! Was a skill issue on my part. I REALLY enjoyed this game and its concept. I would honestly pay for a full version of this game, have followed you, and updated my rating :) I did also find a small glitch with the platforms that lets you break out of the map.
I can't remember which exact level it was. If you jump onto it/just below a floating platform near the floor and it doesn't place you on top of the platform, it still moves down towards the floor and pushes you out of bounds.
