To use the numbers from my earlier example, assume you have three million voters - 1,650,000 (55%) Democrats and 1,350,000 (45%) Republicans - being divided up into ten districts of 300,000 apiece. And you’re a Republican in charge of the division.
District 1: 300,000 Democrats
District 2: 300,000 Democrats
District 3: 168,750 Republicans and 131,250 Democrats
District 4: 168,750 Republicans and 131,250 Democrats
District 5: 168,750 Republicans and 131,250 Democrats
District 6: 168,750 Republicans and 131,250 Democrats
District 7: 168,750 Republicans and 131,250 Democrats
District 8: 168,750 Republicans and 131,250 Democrats
District 9: 168,750 Republicans and 131,250 Democrats
District 10: 168,750 Republicans and 131,250 Democrats
A region that is 45% Republican is going to elect 80% Republican candidates to office.
On the other hand, here’s how a Democrat might do the division:
District 1: 165,000 Democrats and 135,000 Republicans
District 2: 165,000 Democrats and 135,000 Republicans
District 3: 165,000 Democrats and 135,000 Republicans
District 4: 165,000 Democrats and 135,000 Republicans
District 5: 165,000 Democrats and 135,000 Republicans
District 6: 165,000 Democrats and 135,000 Republicans
District 7: 165,000 Democrats and 135,000 Republicans
District 8: 165,000 Democrats and 135,000 Republicans
District 9: 165,000 Democrats and 135,000 Republicans
District 10: 165,000 Democrats and 135,000 Republicans
Now a region that’s 45% Republican is going to elect 100% Democratic candidates to office.