Note: this document is under construction! See the introduction.
It is not even a finished draft yet, just parts of a draft interspered with notes.
First, I decided what I thought the size of the senate should be. I wanted a formula that took as input the size of the electorate, and yielded the size of the Senate. I wanted this formula to be scalable, that is, to give reasonable answers for moderately small groups and also for groups the size of the entire population of Earth, and larger. In numerical terms, I require a rule that scales for groups of about 1000 up to groups of about 9 billion. If possible, it would be nice if the rule would scale down to about 15 and up to about 1e12.
Some approximate example group sizes to help get a handle on these numbers:
| 30 | the number of students in a small graduate program | ||||
| 65 | the number of students in my elementary school class | ||||
| 600 | the number of students in my high school class | ||||
| 1900 | the number of developers in Debian 1 |