Before viewing these pictures, please first check your screen.

My new tesselation program allows me to produce tesselations with any 2N+5 (N=0,1, ...) fold symmetry (based on embeddings in 2N+5 dimensional lattices). They all contain exactly N+2 different types of rhombi. In these pictures they are all given different colors (with slight variations within one species, only for esthetic reasons). The examples shown below can be obtained at full resolution by clicking on them.

In reading order: a1: N=0 (5-fold internal rotation symmetry, one obvious vertical symmetry axis)a2: N=0 (with visible 10-fold rotation symmetry and horizontal and vertical symmetry axes)

b1) N=1 (7-fold rotation symmetry and vertical symm. exis)

b2) N=1 (7-fold internal symmetry and vertical symmetry axis)

b3) N=1 (7-fold int. symm., one vertical axis)

b4) N=1 (7 fold int. symmetry, no visible symmetry)

b5) N=1 (7-fold int. symm. 14 fold symmetry point with reflection symm.)

c1) N=2 (9-fold internal symmetry, vertical symm. axis)

c2) N=2 (9-fold internal symmetry, vertical symm. axis)

c3) N=2 (9-fold internal symmetry, 9 fold symm.point with reflection symm.)

d1) N=3 (11-fold internal symmetry, 11 fold symm.point with reflection symm.)

d2) N=3 (11-fold internal symmetry, vertical symm. axis)

e1) N=4 (13-fold internal symmetry, 13 fold symm.point with reflection symm.)

f1) N=5 (15-fold internal symmetry, 15 fold symm.point with reflection symm.)

g1) N=6 (17-fold internal symmetry, 17 fold symm.point with reflection symm.)

g2) N=6 (17-fold internal symmetry, 34 fold symm.point with reflection symm.)