Note for Internet Explorer: You need to download Sun's Java Runtime environment from this website http://www.sun.com.

Rules of the game

The game applies to a special set of indirect connected graphs (called ADE graphs).

- A graphs: An ``A'' graph is a graph where all the nodes connected
linearly. We numberred them from left to right start from V1. For example,
``A6'' graph will have six nodes, namely V1, V2, ..., V6 where V1 connects
with V2, V2 connects with V3 and so on.
- D graphs: A ``D'' graph is similar to an ``A'' graph but with one extra
node connects to the second node (V2). We called this special node V0. For
example ``D5'' graph has five node, namely V0, V1, V2, ... V4 where V1
connects with V2, V2 connects with V3 and so on. And we have V0 connects with
V2 as well. A ``D'' graph must have at least 4 node.
- D graphs: An ``E'' graph is similar to an ``A'' graph but with one extra node connects to the third node (V3). We called this special node V0. For example ``E7'' graph has five node, namely V0, V1, V2, ... V6 where V1 connects with V2, V2 connects with V3 and so on. And we have V0 connects with V3 as well.

- The value of the firing node will be negated.
- The values of any neighbouring node will be the same as the current
value of that node plus the value of the firing node.
- The values of the other nodes are the same.

Control the applet

The applet have four parts: The menu bar at the top, the graphic area on the left, the tracing area on the right and the button bar at the bottom.

- The menu bar has two menus: Game and About. You can create a new game
from Game menu, and get help from About menu.
- The graphic area is for displaying of the current graph.
- The tracing area keeps the history of the graph.
- The button bar gives control of the applet.

There are two modes for the game, namely: Editing, Playing. In each mode, the menu bar will be changed accordingly.

Editing mode

There are three buttons in this mode: Help, Load and Playing.

- Help: Display help information for this mode.
- Load: Load any ADE Graph. A dialog will open for you to choose the type
of the graph (A, D, E) and the degree of the graph. Once the graph is
loaded, you can set the value for any node by clicking at that node.
- Playing: After loading a graph, you can change to playing mode with this button.

Playing mode

There are six buttons in this mode: Help, Undo, Fire, Exhaust fire, Show graph and Editing.

- Help: Display help information for this mode.
- Undo: Undo the last firing.
- Fire: Fire at all positive nodes.
- Exhaust fire: Fire at all positive nodes until there are only negative
nodes. Notice that this function terminates for some configurations only.
- Show graph: Show the firing sequence graph, in a new window. The firing
sequence graph is the graphof all positive nodes. The value of the node
denoted by the number of rings and also by the number on the top right of the
node. You can set the maximum number of rings using the combo box. Zero
means there is no maximum number. For each layers of the graph, the total
value of the graph (the sum of all positive node) is displayed on the
right-hand side. The total number of layers display at the bottom. There is
a button bar in the new window which has five buttons described below:
- OK: Close the firing sequence graph window and go back to the main
window.
- Fire: Fire at all positive nodes, this help you to see how the firing
sequence graph is build.
- Undo: Undo the last firing.
- Save: Save the current firing sequence graph (to TGA image). This
option is only available when running the program locally.
- Help: Display help information about the firing sequence graph.

- OK: Close the firing sequence graph window and go back to the main
window.
- Editing: Go back to editing mode. Clear the graph and tracing area.

The printed version of this document can be seen here.

Thai Son Hoang