Geometry:what is the opposite of a sphere?& what shape maximises surface area/volume?
02-17-2019, 08:21 PM
Post: #17
 ijabbott Senior Member Posts: 921 Joined: Jul 2015
RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/...
(02-17-2019 05:10 PM)StephenG1CMZ Wrote:  Right now I'm no longer certain that a sphere could have an infinite number of faces, or whether the maximum number of faces has any relevance to spheres. But I am sure someone here can explain.

One thing you can be sure of is that it will satisfy the Euler characteristic for a polyhedron: F + V = E + 2. For tessellating a sphere, the simplest case is one face and one vertex, but no edges.

— Ian Abbott
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 Messages In This Thread Geometry:what is the opposite of a sphere?& what shape maximises surface area/volume? - StephenG1CMZ - 01-31-2019, 06:07 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Valentin Albillo - 01-31-2019, 06:47 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Thomas Klemm - 01-31-2019, 06:56 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - rprosperi - 01-31-2019, 09:29 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Massimo Gnerucci - 02-01-2019, 07:34 AM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Mark Hardman - 02-02-2019, 05:25 AM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Pekis - 02-01-2019, 10:23 AM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - StephenG1CMZ - 02-02-2019, 11:04 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Vtile - 02-05-2019, 11:04 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Massimo Gnerucci - 02-06-2019, 07:08 AM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Thomas Klemm - 02-06-2019, 08:31 AM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - ijabbott - 02-06-2019, 08:54 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Vtile - 02-06-2019, 09:53 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - berndpr - 02-09-2019, 10:43 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - StephenG1CMZ - 02-17-2019, 05:10 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - ijabbott - 02-17-2019 08:21 PM RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/... - Thomas Klemm - 02-17-2019, 06:09 PM

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