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Arranging three fires in a triangle is the most effective strategy in a polar scenario due to several logistical and visibility considerations. When fires are positioned in a triangular formation, they form a geometric shape that maximizes coverage and visibility from each fire to the others. This arrangement is beneficial for communication and coordination among the teams managing the fires, as each fire can clearly see the others and relay messages or signals.

Additionally, a triangular formation helps in establishing a more balanced distribution of heat, illuminating a larger area than a straight line or random scattering could achieve. This helps create a unified focal point for navigation or signaling, which is particularly important in low-visibility conditions that may be present in polar regions.

The other arrangements, such as a straight line, circle, or scattered arrangement, would not provide the same level of communication efficiency, coverage, and safety. A straight line limits visibility and could lead to disorientation, while a circle, while visually appealing, may complicate direct communication between fires. Scattering fires randomly would decrease overall effectiveness and could lead to confusion regarding locations, resulting in potential safety hazards in a challenging polar environment.