Bare paws should be a liability on ice; for the Arctic fox they are a precision tool. Under the furred ankle, a dense network of arteries and veins forms what physiologists call a countercurrent heat exchanger, a design that keeps blood moving yet spares the body from catastrophic heat loss.
The key idea is brutal in its efficiency. Warm arterial blood descending toward the paw runs right beside cold venous blood returning from it, and through simple heat conduction the two streams trade energy before either reaches its destination. By the time arterial blood hits the paw pads, its temperature has already dropped, sharply shrinking the gradient between tissue and snow and therefore the rate of conductive heat loss described by Fourier’s law.
This means the paw acts less like a cozy boot and more like a controlled cooling unit. Tissue there can sit just above freezing, protected from ice crystals by constant perfusion yet too cool to leak much warmth into the ground. Meanwhile, the venous blood, rewarmed on its way back by that same arterial flow, returns to the core carrying far less thermal debt. So the fox walks on a frozen surface with paws that are cold by design, while its vital organs stay warm enough for the hunt.