Trilinears           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a cos A - (b + c)cos(B - C)

Trilinears           g(a,b,c) : g(b,c,a) : g(c,a,b),
                                    where g(a,b,c) = bc(b + c)[a²(b² + c²) - (b² - c²)²] - a³bc(b² + c² - a²) (Michel Garitte, 4/3/03)

Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(355) = the center of the Fuhrmann circle, defined as the circumcircle of the Fuhrmann triangle A"B"C", where A" is obtained as follows: let A' be the midpoint of the shorter arc having endpoints B and C on the circumcircle of ABC; then A" is the reflection of A' in line BC. Vertices B" and C" are obtained cyclically.

Ross Honsberger, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Mathematical Association of America, 1995. Chapter 6: The Fuhrmann Circle.

X(355) lies on these lines:
1,5    2,944    3,10    4,8    30,40    65,68    85,150    104,404    165,550    381,519    382,516    388,942    938,1056

X(355) = midpoint of X(4) and X(8)
X(355) = reflection of X(I) in X(J) for these (I,J): (1,5), (3,10), (944,1385), (1482,946)
X(355) = anticomplement of X(1385)
X(355) = complement of X(944)