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We present a new Life-like cellular automaton (CA) capable of logicuniversality -- the X-rule. The CA is 2D, binary, with a Moore neighborhood and$\lambda$ parameter similar to the game-of-Life, but is not based onbirth/survival and is non-isotropic. We outline the search method. Severalglider types and stable structures emerge spontaneously within X-rule dynamics.We construct glider-guns based on periodic oscillations between stablebarriers, and interactions to create logical gates.

The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton