Tubes and conesThe nanotube cap window 

Nanotubes are a special kind of fullerenes. Though topologically spherical, the geometric form is a very long tube consisting only of hexagons and capped on both sides with "patches" containing 6 pentagons each and a varying number of hexagons. Because the tube body is very long compared to the cap, nanotubes are often considered to be caps with a oneside infinite tube body  or mathematically speaking: cubic plane graphs with 6 pentagons and all the rest hexagons. In this window these oneside infinite nanotubes are considered. Realizing the graphs geometrically, the 6 pentagons bend the surface so that the hexagons form a tube with constant diameter. The boundary between the tube body and the caps can be chosen in a way that cutting along this boundary the caps become hydrocarbons in the sense of the hydrocarbon windows with a boundary sequence of the form (23)^{l}(32)^{m}. These parameters l,m are characteristic for the nanotube and we require a cap to have a boundary of this form with a pentagon adjacent to it. In this window you can give the parameters l,m. Then all caps for these parameters are generated that would lead to nonisomorphic oneside infinite nanotubes. Note that caps that are nonisomorphic as hydrocarbons can still lead to isomorphic nanotubes if they are attached to a oneside infinite tube. The generation can be restricted to IPRstructures and a number of rings representing the beginning tube can be attached to the cap . Some more links can be found here. 

The nanocones window 

In case of an infinite 3regular graph with 1 ≤ p ≤ 5 pentagons (and the rest hexagons) the pentagons bend the structure not enough to form a tube  the structure becomes a cone. Similar to nanotubes also nanocones can be classified by a certain boundary structure. If 1 ≤ p ≤ 5 is the number of pentagons and we set s= 6p then for p ∈ {1,5} one can always find a closed cycle neighbouring a pentagon so that the inner part has a boundary structure of ((23)^{k}2)^{s} for some k. We call this a symmetric boundary. For p ∈ {2,3,4} the boundary structure is either symmetric or of the form ((23)^{k}2)^{s1}(23)^{k1}2 which we call almost symmetric. In this part one first chooses whether one wants a symmetric or an unsymmetric (almost symmetric) boundary. Then one chooses the number p of pentagons in the cone and the length of the longest side  which is the parameter k in the description of the boundary above. The generator generates all nonisomorphic caps with the given boundary structure. Different from nanotubes, different caps can not lead to the same cone, so there is a oneone correspondence between these caps and nanocones with caps for these parameters. Options are:



