On Wed, Sep 14, 2016 at 11:36 AM, Bill Gosper <billgosper@gmail.com> wrote:
On 2016-09-14 17:45, James Buddenhagen wrote:
Haha -- that is an endearing name :) . Do you happen to have an off file for that? I'm still trying to figure out what it is!
You mean like Graphics3D@Polygon@{{{-(1/2), -(1/2), -(1/(2 2^(1/4)))}, {-(1/2), 1/ 2, -(1/(2 2^(1/4)))}, ..., {0, -(1/Sqrt[2]), 1/(2 2^(1/4))}}} ? A fastigium is apparently just a triangular prism with square sides. This is two of them endcapping a square antiprism. --rwg Johnson had to eschew nonconvex solids because they're infinitudinous, narrowly excluding such gems as bilunagyrobicupola.
Oops, that should be bilunagyrobirotunda <http://gosper.org/bilunagyrobicupola.png> . Both lunae are stacked on the right. The equator is an eccentric (so it's not two Johnson solids) hexagon. The nongyro version (J91) has two such equators, intersecting. Unlike most PolyhedronData, the vertices of "Bilunabirotunda" are crude machine floats, off by > 1ppm. --rwg
On Wed, Sep 14, 2016 at 4:10 AM, Bill Gosper <billgosper@gmail.com> wrote:
is nonconvex, but the name is irresistible. gosper.org/gyroelongatedbifastigium.png Resistince is futile. --rwg