1,4

Canonical polygons are those drawn on a square unit lattice, with all sides equal to 1 or sqrt(2), without crossing sides or double vertices. Rotations and reflections do not generate different canonical polygons. There are exactly 8 convex canonical polygons: 1 with n=3, 3 with n=4, 1 with n=5, 2 with n=6, 1 with n=8. - Ronald Kyrmse, Apr 02 2025

Lars Blomberg, Examples of Canonical Polygons for n = 3..20

Sean A. Irvine, Java program (github)

Ronald Kyrmse, Canonical Polygons.

Eric Weisstein's World of Mathematics, Binomial Coefficient.

Eric Weisstein's World of Mathematics, Canonical Polygon.

Cf. A307387, A307391, A307426, A307454, A307455, A307456, A307519.

Sequence in context: A091328 A348402 A138383 * A243790 A267296 A122847

Adjacent sequences: A052433 A052434 A052435 * A052437 A052438 A052439

nonn,more

Corrected and extended by Keith Schneider (schneidk(AT)email.unc.edu), Oct 25 2007

Offset changed to 1 and a(14)-a(18) from Lars Blomberg, Feb 18 2019

a(19)-a(20) from Lars Blomberg, Apr 23 2019

a(12) corrected by Sean A. Irvine, Nov 12 2021

approved