The analogous problem maximally inscribing a regular tetrahedron within a unit cube was discussed here in September 2013. The difficulty there depends on dimension modulo 4 , eg. reducing to a Hadamard matrix when n == 3 mod 4 . For n = 3,7,11 , the optimal simplex has rational coordinates. For n = 4 , optimal has quadratic algebraic. For n = 5,6 , best known lower bounds (probably optimal) have quartic. For n = 8 , BKLB (probably optimal) has rational. For n = 9 , BKLB has quintic. For n = 10 , nothing known. WFL On 4/7/16, Simon Plouffe <simon.plouffe@gmail.com> wrote:
hello,
about the number : 1.00083944685934978860192892175659458287680336
I will test it on my machine tonight, compared to 15.585 billion entries and some nice programs to invert a number.
can we have more digits of that number ?
A good question is : how much precision e have here ?
I tested the number with 200 digits : nothing.
also : what is the supposed degree of that algebraic number ?
Could it be (for a strange reason) of very high degree ?
have a nice day,
Simon Plouffe _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun