Fractals of Symmetric 2D Maps, from Symmetric Chaos (SX), Field and Golubitsky, 1992

Rendered in NetLogo 5.1.3 by Ralph H. Abraham and Hiroko Tojo, 2016

These are still images of a point cloud in 2D generated by a discrete dynamical system. See Table A3 in SX, p. 195.
The accompanying audio files are sonifications of the dynamics that generated the still image (to come).

Emerald Mosaic, SX, Line 1 of Table A3, Figure 2.6

Sugar and Spice, SX, Line 2 of Table A3, Figure 2.12

Sicilian Tile, SX, Line 3 of Table A3, Figure 3.18(b)

Roses, SX, Line 4 of Table A3, Figure 3.20(b)

Wagonwheels, SX, Line 5 of Table A3, Figure 3.21(b)

Victorian Tiles, SX, Line 6 of Table A3, Figure 3.23(e)

Mosque, SX, Line 7 of Table A3, Figure 3.24(a)

Red Tiles, SX, Line 8 of Table A3, Figure 3.24(b)

Cathedral Attractor, SX, Line 9 of Table A3, Figure 3.25(b)

Gyroscopes, SX, Line 10 of Table A3, Figure 6.1

Cats Eyes, SX, Line 11 of Table A3, Figure 6.2

Flowers with Ribbons, SX, Line 12 of Table A3, Figure 6.3