I'm afraid you're not thinking of your planet as a globe. The plates at the poles are spiralling "inward" on the poles, like fabric being pulled in through a hole (and twisted) rather than like solid plates. You also aren't drawing the land with the distortion you'd expect in this projection.

Judging by the graticule, you're using a normal Equidistant Cylindrical projection with standard parallels at 48 degrees N/S That means the map is true at the 48th parallels, and gets squashed east/west as you approach the equator, and stretched out east/west as you approach the poles, with the rate that the distortion changes increasing toward the poles. Similarly it will skew directions east-west near the poles, and north-south toward the equator.