Self-avoiding polygons of perimeters <= 20
on honeycomb net

Hugo Pfoertner, 2018-07-03

OEIS A258206, A316193 (Symmetric)

Code list of turning angles in degrees (12-gonal encoding):
-60(b), +60(B)

Turning angle code, diameter of enclosing circle (symmetry)

Perimeter = 6 (1 symmetric polygon):
BBBBB, 2.0000000000 (mirror,rot6)

Perimeter = 8: 0 polygons

Perimeter = 10 (1 symmetric polygon):
bBBBBbBBB, 3.6055512755 (mirror,rot2)

Perimeter = 12 (1 symmetric polygon):
bBBBbBBBbBB, 4.0000000000 (mirror,rot3)

Perimeter = 14 (3 symmetric polygons):
bBBBBbBBbBBBB, 5.0000000000 (mirror)
bBBBBbBbBBBBb, 5.2915026221 (mirror,rot2)
bBBBbBBbBBBbB, 5.0000000000 (mirror,rot2)

Perimeter = 16 (2 polygons, 1 symmetric):
bBBBBbBbBBBbBBB, 5.2915026221
bBBBbBBbBBbBBBb, 5.2915026221 (mirror)

Perimeter = 18 (12 polygons, 10 symmetric):
bBBBBbBBbBBbBBBBb, 5.2915026221 (mirror)
bBBBBbBBbBbBBBBbB, 6.5574385243
bBBBBbBBbbBBBBbBB, 6.5574385243 (rot2)
bBBBBbBbBBbBBBbBB, 6.5574385243
bBBBBbBbBbBBBBbBb, 7.0000000000 (mirror,rot2)
bBBBBbbBBBBbbBBBB, 5.2915026221 (mirror,rot3)
bBBBBbbBBBbBBbBBB, 5.2915026221 (mirror)
bBBBbBBBbbBBBbBBB, 5.2915026221 (mirror,rot2)
bBBBbBBbBBbBBbBBB, 5.2915026221 (mirror)
bBBBbBBbBbBBBbBBb, 6.5574385243 (rot2)
bBBBbBbBBBbBbBBBb, 6.0000000000 (mirror,rot3)
bBBbBBbBBbBBbBBbB, 5.2915026221 (mirror,rot6)

Perimeter = 20 (14 polygons, 5 symmetric):
bBBBBbBBbBbBBBbBBBb, 6.5574385243
bBBBBbBBbbBBBbBBBbB, 6.6153846154
bBBBBbBbBBBbBbBBBBb, 6.0000000000 (mirror)
bBBBBbBbBBBbbBBBBbB, 6.5574385243
bBBBBbBbBBbBBbBBBbB, 6.6153846154
bBBBBbBbBbBBBBbbBBB, 7.0000000000 (mirror)
bBBBBbBbBbBBBbBBBbb, 7.0000000000
bBBBBbBbBbBBBbBBbBB, 7.0000000000
bBBBBbbBBBbBbBBBbBB, 6.5574385243
bBBBbBBBbbBBbBBBbBB, 6.6153846154 (mirror)
bBBBbBBbBBbBbBBBbBB, 6.6153846154
bBBBbBBbBbBBBbBbBBB, 6.5574385243
bBBBbBBbBbBBbBBBbBb, 7.0000000000 (mirror)
bBBBbBbBBbBBbBBbBBb, 6.6153846154 (mirror)

Back to A258206, back to A316193.