jMol series circular nanocone

Even larger pentagon-based carbon nanocone put together with Steffen Weber's applet: Again it amazes me how a single pentagon causes what would otherwise be a totally flat hexagonal network to fold up into the shape of an umbrella? In this case, however, the umbrella is conical instead of 5-sided. What angles between edge-on sheets show up in projection here? Also, would this form of cone be more likely (than the pentacone form) to be created during addition of carbon atoms to such structures from a gas or a liquid phase?

How do the angles seen in edge-on projection above compare to the angles between line segments in this image of strange unlayered graphene found in soot particles condensed in the atmosphere of red giant stars, long before the formation of the solar system we live in today?

Read more about this image here.

For more nano-tube and nano-cone models, check out Steffen Weber's jnanotube applet.