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Johnson solid J_(40).

Johnson solid J_9.

Johnson solid J_(18).

Johnson solid J_7.

If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

Let g(x)=(1-x^2)(1-k^2x^2). Then int_0^a(dx)/(sqrt(g(x)))+int_0^b(dx)/(sqrt(g(x)))=int_0^c(dx)/(sqrt(g(x))), where c=(bsqrt(g(a))+asqrt(g(b)))/(sqrt(1-k^2a^2b^2)).

An arbitrary rotation may be described by only three parameters.

A fixed point which has one zero eigenvector.

A coordinate system which has a metric satisfying g_(ii)=-1 and partialg_(ij)/partialx_j=0.

An algorithm for computing an Egyptian fraction.