Coninder (EntityTopic, 11)

From Hi.gher. Space

Revision as of 20:23, 22 September 2007

Template:Shape A coninder is a special case of a tetraprism where the base is a cone.

Equations

• Variables:

r ⇒ radius of base of coninder
h ⇒ height of coninder
l ⇒ length of coninder

• The hypervolumes of a coninder are given by:

total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr²hl3^-1

• The realmic cross-sections (n) of a coninder are:

[!x,!y] ⇒ Unknown
[!z] ⇒ cylinder of radius (r-rnh^-1) and height l
[!w] ⇒ cone of base radius r and height h

Projection

The following is the parallel projection of the coninder:

http://fusion-global.org/share/coninder1.png

In perspective projection, the coninder can also appear as two concentric cones. Note that the frustum at the bottom is actually a cylinder:

http://fusion-global.org/share/coninder2.png

The following are also perspective projections of the coninder. It seems to have four cells: two cones, a cylinder and something else, which may or may not be another cylinder^(?).

http://fusion-global.org/share/coninder3.png

Template:Rotope Nav