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We displayed all gliders of Rule 54 including two new glider guns (also extensible). They are illustrated in packages and others with extensions. We followed the Boccara, Nasser and Roger classification.

**Fig. 1** *w*-> glider, velocity 1, periodic width 2 cells.

**Fig. 2** *w*<- glider, velocity 1, periodic width 0-4 cells.

**Fig. 3** *go* glider, velocity 0, periodic width 2-6 cells.

**Fig. 4** *ge* glider, velocity 0, periodic width 3-7 cells.

**Fig. 5** glider gun, velocity 0, periodic width 4-14 cells.

**Fig. 6** glider gun^n (left or right extensible), particularly this glider gun does not have parity to its extensions.

**Fig. 7** glider gun^n (left and right extensible).