A383085 The number of points in the Euclidean plane that can be determined via a straightedge-and-compass construction using no lines and n or fewer circles.

2, 2, 4, 10, 52, 1704, 214135

Offset

0,1

Comments

A straightedge-and-compass construction starts with 2 points marked on the plane, traditionally (0,0) and (1,0). In the constructions counted by this sequence, only the compass is used. Circles can be drawn at any marked point through any other marked point, and new points are marked where circles intersect.

Links

Table of n, a(n) for n=0..6.

Peter Kagey, Illustration of the a(5)=1704 points.

Wikipedia, Mohr-Mascheroni theorem

Crossrefs

Cf. A383083, A383084.

Sequence in context: A054100 A034165 A006181 * A366425 A322924 A173100

Adjacent sequences: A383082 A383083 A383084 * A383086 A383087 A383088

Keyword

nonn,hard,more

Author

Peter Kagey, Apr 16 2025

Status

approved