Not exactly. As you compare the polar desert in the Arctic to that in Antarctica, several differences come to light. Arctic. The topography of the Arctic polar desert is defined as tundra, glaciers, and snow.hen the weather warms up, and the warmest month of the year rolls around, the temperature remains in the range of a few degrees Celsius to approximately -1 degree Celsius. In terms of precipitation, the Antarctic polar desert receives less than 40 millimeters per year.