Mark Heaton Wrote:
> Problem no 14 in the MMP should, perhaps, have
> informed debates on the seked.
>
> My review and evaluation of problem no 14 is
> currently based on the papers of Thomas and Vetter
> (in JEA) as I haven't yet seen the papers by Gunn
> & Peet or Vogel which are referred to by Thomas
> and Vetter.
>
> I suppose problem no 14 may have been reviewed in
> other journals in other countries, perhaps in a
> review since 1987 or in a review unbeknown to
> Robins and Shute in 1987.
I don't think MMP 14 mentions the seked. It is only concerned with volume.
Gillings mentions something important about the volume formula - if you dissect a cube into six parts along its four diagonals, you get six equal volume pyramids of slope angle 45 degrees. It is from this ideal pyramid that the volume formula (V = 1/3 x b x b x h) can be taken.
The Bent Subsidiary pyramid (base 100c; height 50c; slope 45 degs) is the one pyramid that fulfills this model.
Two thousand years ago a Chinese mathematician also wrote a paper about the volume of pyramids - they built step pyramids.
Hail Atlantis.