Same Votes, Different Seats
by Anonymous · ⭐ 1 · 🍴 0
🧮 The vote totals stay fixed: 🧑🦱 47 · 🧑🦰 33 · 🧑🦲 20. Line up three ways to turn votes into seats (quotients and remainders · divide by 1, 2, 3 · divide by 1, 3, 5), then change only the number of seats to see the results split — with some seat totals, «divide by 1, 2, 3» gives 🧑🦲 exactly 0 seats. 📉 And with «quotients and remainders», there’s a spot where adding one seat makes a party lose one instead (7 seats → 8 seats). Even though nobody changed their vote. 🎯 At the end, guess which method was used just by looking at the seat allocation.
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About this app
Same Votes, Different Split is an interactive civic education tool about proportional seat allocation. It keeps the vote totals fixed at 47, 33, and 20 while letting users compare whole-part-and-remainders, divide-by-1-2-3, and divide-by-1-3-5 methods as the number of seats changes. Interactive challenges highlight when methods disagree, when the smallest party receives no seats, and how adding one seat can paradoxically make a party lose one under the remainder method.
Use cases
- Students learning how electoral systems allocate seats
- Civic educators demonstrating proportional representation
- Voters exploring how mathematical rules affect representation
- Anyone practicing critical thinking about election results
Features
- Side-by-side comparison of three seat-allocation methods
- Adjustable total number of seats with fixed vote totals
- Displays exact proportional shares for comparison
- Explores the remainder method's paradoxical seat loss
- Quiz identifying which calculation produced a given allocation
- Four missions covering method differences and allocation effects