The traditional tree format for displaying ancestry looks nice and gives information at a glance, provided it does not have too many entries, which can simply make it a confusing mess. Most people here seem to the information stored on computer in some way. A paper-based tree diagram is probably a little out-dated in the computer age, though, and something you would only do for the challenge and the aesthetics of it, not to make it easier to access the information, which could be got much quicker by accessing the database or whatever it is you have on the 'puter.
From an information science point of view, a genealogy tree is simple in concept. Each person is represented by a data node, and only needs to carry three pieces of information: an identifier (eg the person's name, or possibly with extra description to avoind ambiguity), and a pointer to the two parent nodes, one male and one female. Strictly speaking this is all the information required, though in practice you would normally also have a pointer to a list of child nodes ( otherwise the only way to locate children would be to examine all other nodes to find those with that parent).
This is a standard exercise in computer science courses, and pretty easy to do. Writing an application to examine the tree, eg by searching for a particular name, highlighting it and bring up mother's name, grandfather's name, names of children etc would not be too difficult and I imagine there are hundreds of such applications around.
Actual human genealogy can have all sorts of complications that make it not a true tree. A "tree" in information science is defined by the fact the fact that there is only one path between any two given nodes. If you think about it, this corresponds precisely to botanical trees as they are found in your garden or in the forest. Human ancestry is not like this. Cousins, second cousins etc. can marry and have children. Any time you have a husband and wife who can trace a common ancestor, you no longer have a tree, you have a graph with loops. Showing these relationships on a two-dimensional piece of paper may not be easy, and sometimes it's not even possible to do it without lines crossing. All up I'd say the effort of putting it all on one sheet of paper is hardly worth it unless you are restricting yourself to maybe four or five generations.