The 32nd paints its BattleMechs and other vehicles in the Galedon District’s traditional gray with white stripes.
Per FM:Draconis Combine, page 67.
Panther, CM: Kurita (p 102)
The Galedon Regulars insignia is a gray-white katana set over a field composed of one blue and one black triangle. This insignia is always painted on a BattleMech’s upper right leg or on the fuselage of an aerospace fighter.
The regiment’s insignia is a hand with an eye centered in its palm.
Per FM: Draconis Combine, pages 59 and 67.