Re: [math-fun] late follow-up

On 1/5/07, Michael Kleber <michael.kleber@gmail.com> wrote:

... I find the following two examples:

[1, 24, 23, 16, 24, 23, 16, 46, 32, 30] [1, 25, 25, 2, 25, 25, 2, 42, 24, 24]

That second one has a second plane of mirror symmetry, apart from the necessary symmetry which just swaps the two distance-1 points.

These checked out OK, once I had guessed MK is using a different ordering convention, and rewritten them in mine [1, 24, 24, 23, 23, 46, 16, 16, 32, 30] [1, 25, 25, 25, 25, 42, 2, 2, 24, 24]. I wonder if the second one in particular is a member of a parametric family, analogous to the quadratic 4-parameter trapezium family in 2 dimensions? Fred Lunnon