[math-fun] 3-dimensional rhombus
complete the analogy: square : rhombus :: cube : ____ ? is there a word for such a thing? russ
This thing turns up in 3-D analogues of the Penrose tiling, see e.g. the Drexel Math Forum discussion by Joshua Socolar at http://mathforum.org/kb/message.jspa?messageID=1072693&tstart=30 where it is styled "rhombohedron" --- but that term might equally well refer to other bodies, such as the (Archimedian) rhombic dodecahedron. Perhaps "rhombic hexahedron" is sufficiently specific? Fred Lunnon On 7/9/06, Russ Cox <rsc@swtch.com> wrote:
complete the analogy:
square : rhombus :: cube : ____ ?
is there a word for such a thing?
russ
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Russ Cox wrote:
complete the analogy:
square : rhombus :: cube : ____ ?
Do you mean to require that the twelve edges all have the same length, or that the six faces all have the same area? Or both? Or perhaps you want all faces to be congruent? Now I'm not even sure which Gareth's "equilateral parallelepiped" would best fit -- either the first or the last, I think. --Michael Kleber -- It is very dark and after 2000. If you continue you are likely to be eaten by a bleen.
participants (4)
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Fred lunnon -
Gareth McCaughan -
Michael Kleber -
Russ Cox