There's more to teleportation than meets the eye as a newcomer to Project: Gorgon. As you level it up, new ways to teleport become available. I have had no trouble keeping myself in amethyst without surveying or purchasing more. I don't want to give spoilers here, but as you level up, you will discover that it's way less of a bother.

As far as surveying for amethysts, make sure you are using the correct survey. It won't come from all of them, unless it comes as a reward for the speed bonus.

As others answer this, please be sensitive to the idea that some players want to discover things for themselves.