Big Burn is a set of free wargames rules for fleet actions in space.
Task Force Zeta is a set of free wargames rules for starship combat.
Pundits will tell you that representing space combat in 3 dimensions is a wasted exercise in mathematics, and that two ships fighting can be equally well represented on a 2-dimensional plane. What happens when you have three ships? ten? Did their captains all just conveniently forget about attacking/defending from the z axis?
Task Force Zeta allows you to fight battles against opponents in a representation of real (3-D) space using vector movement - without doing complex math every time you move or fire. Fourteen different ship classes are provided, along with fighters and bases, as well as basic rules for ship construction - design your own factions or convert ships from your favorite movies/TV shows!
Imperial Ambitions is a free print-and-play board game of spaceship combat with both a strategic and tactical element. The author writes:
The game is played in two parts, on two different maps. The Strategic Game is played only on the strategic map, and the Tactical Game, where battles are fought, is played only on the tactical battle maps. In the Strategic Game, units move from one star system to another, and construction, repairs and various economic functions are conducted. At the end of the Strategic Sequence of Play, any hexes containing opposing units on the strategic map may trigger a battle (at the discretion of either one of the players with forces in the same hex), at which point each battle is resolved on a tactical map using the Tactical Game
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