Rob Speer on 8 Feb 2002 06:35:28 -0000

```I propose: __The Final Frontier__

{{

1. Change the second paragraph of Rule 153 from
{{ Players have an attribute called their Distance, which is calculated
as the square root of (the sum of (the square of each of their
Dimensions)). }}

to

{{ Players have an attribute called their Displacement, which is their
distance from the Origin in the Dimensions. }}

2. Change all remaining occurrences of the term 'Distance' in Rule 153
to 'Displacement'.

3. Create a rule: __Space__
{{
A Space is a part of the game state in which it is possible to move in
multiple directions. In general, a player's position in each direction
is called a Component.

The two Spaces that currently exist are the Dimensions, where each
Dimension is a Component, and the Grid, where the X and Y values are the
two Components.

Each Space has a Metric which specifies how Distance is measured there.
The Grid uses the Cartesian Metric, while the Dimensions use the
Manhattan Metric.

The three possible Metrics are:
* The chessboard metric, in which the Distance between two objects is
the maximum of the differences of each Component.
* The Manhattan metric, in which the Distance between two objects is the
sum of (the differences of each Component).
* The Cartesian metric (also called the Euclidean metric) in which the
Distance between two objects is the square root of (the sum of (the
squares of (the differences of each Component))).

}}
}}

[[ No more decimals in the Dimensions, and this allows me to re-propose
The Rat Race with much easier to calculate hamster balls. ]]

--
Rob Speer

```