A sequence of growth
I estimate that the spike had been growing for 1 week hidden within the folds of the leaves before I first noticed it. Based on that count, the picture above shows growth from days 7, 11, and 13. The spike quickly acquired a dark burgundy color, which matches the color of this orchid's blooms. On day 12, I carefully pried the tip of the spike out of the leaf fold, and overnight, the spike straitened out to what you can see in the rightmost picture.
EDIT 3/29: Identified as Wilsonara Pacific Perspective!