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Le_Forgeron <jgr### [at] freefr> wrote:
> More than the classical cone/sphere/cylinder used to count 1,2,3.
>
> Counting from 1 to 6, here a set of increasing volumes.
> Constraint are:
> * Volume must be inside a box of size 2R
> * Each side of the box must be touched, at least by a point, even on border
>
> there such simple solid ? And what does it looks like ?
>
> Solids are:
> 1. Milk carton (berlingot) quartic
> 2. Cone
> 3. conocuneus (coin conique) quartic
> 4. Sphere
> 5. spherical top on cylinder
> 6. Cylinder
#3 could also be replaced with a paraboloid.
V=1/2pi a^2 h - a=R, h=2R
V=1/2pi R^2 2R
-tgq
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