Math stuff

Equilibrium Random Start Bead Game: Once for all Bead Game:

Math stuff

Equilibrium Random Start Bead Game: Once for all Bead Game: Selection Ehrenfest Model with Cooperative Effects Right-click on titles to download files All the spreadsheets below use an internal iteration counter e. The following spreadsheet just introduces iteration counters. The key trick in any spreadsheet with circular Math stuff and iterations is the iteration counter.

An iteration counter is given alone in this small Excel file. The spreadsheet is set to run a fixed number of iterations and that number must be entered in the MaxIter box of the spreadsheet.

By thus synchronizing the counter with the spreadsheet, the counter will automatically reset itself to 1 at the end of each complete run. When the user aborts a run at a smaller number of iterations e.

This is done by double-clicking on the Index cell the cell below the label and hitting Enter, one resets the Index value to 1.

This is used in all the spreadsheets below. Right-click on title to download file. The Game of Life. Conway's Game of Life is programmed on this spreadsheet. The spreadsheet runs through "MaxIter" iterations or generations of life initially set at Each non-boundary cell has eight neighbors.

If exactly three of the neighbors are alive, then the cell is alive in the next generation regardless of its previous state. If exactly two neighbors are alive, then the cell remains in its present state in the next generation.

Otherwise the cell is not alive in the next generation.

Math stuff

Cells outside the boundary are fixed as being not alive. To run the program, hit the function key F9 Calculate Now.

Do not touch the keyboard or click mouse until the iterations stop even if the life forms stabilize or vanish otherwise see instructions above under "Iteration Counters". The iteration counter internal to Excel runs in the lower left corner.

This is the famous "glidergun" configuration in the Game of Life. The configuration continuously reproduces itself all the while emitting a "glider" towards the southeast corner of the rectangle. Hit the F9 key to run it. The model consists of cells each of which can be "sick" or "well" 1 or 0.

A cell can be infected by one of its four neighbors east, west, north, and south with a probability P. A cell is infected for only one period or iteration, and then has to be reinfected to be sick again. Thus the contagion or epidemic being modeled is of a disease that only lasts one period and can be passed along or passed back and forth between cells.

A cell cannot infect itself so the only contagion can come from its neighbors. The boundary conditions are that the cells outside the boundary are not infected.

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