Voting Rights: Anomaly Free Boards
The following are the only anomaly free Board structures possible for board sizes 1, 4, 7, 11 and 13. Note that Corporate Governance research says that anomaly free boards are in 4D and 11D+ and anything in between doesn't work (because of the obstruction from exotic S7 which can embed only in R11 (flat) and R12 torsioned). We fix that by taking the 7 member board and mapping it to 11D. [See the discussion on Stable Homotopy Groups of Spheres in the appendix]. Please double check the case of 13 (only 12 people must vote on any issue, 1 must be the observer and the special resolution pass threshold is 9/12 and the budget pass threshold is less than 5/12 unified no-votes and 7/12 yes votes, abstains don't sink the budget vote. [There's a more nuanced variation using the Binary Golay Code voting at the bottom of this document; the ultimate bottom of this document is an attempt by Gemini to create something that works, I'm not sure how well it did, but it does maintain som...