• Corpus ID: 119149695

# Coins that Change Their Weights

```@article{Khovanova2016CoinsTC,
title={Coins that Change Their Weights},
author={Tanya Khovanova and Konstantin Knop},
journal={arXiv: Combinatorics},
year={2016}
}```
• Published 24 November 2016
• Computer Science, Mathematics
• arXiv: Combinatorics
As in many coin puzzles, we have several identical-looking coins, with one of them fake and the rest real. The real coins weigh the same. Our fake coin is special in that it can change its weight. The coin can pretend to be a real coin, a fake coin that is lighter than a real one, and a fake coin that is heavier than a real one. In addition to this, each time the coin is on the scale, it changes its weight in a predetermined fashion. In this paper, we seek to find our fake coin using a balance…
2 Citations

## Figures and Tables from this paper

Coins and Logic
• T. Khovanova
• Mathematics
The Mathematics of Various Entertaining Subjects
• 2019
There are fun parallels between coin-weighing puzzles and knights, and it is established that knights and coins have similar properties.
Knights and knaves . Genuine and fake coins
We establish fun parallels between coin-weighing puzzles and knights-

## References

SHOWING 1-7 OF 7 REFERENCES
Chameleon Coins
• Mathematics, Computer Science
• 2015
This work considers a mix of N coins that include exactly two non-real coins: one fake and one chameleon, and finds bounds for the number of coins for which a solution can be found in a given number of weighings.
Alternator Coins
• Mathematics
• 2017
We introduce a new type of coin: the alternator. The alternator can pretend to be either a real or a fake coin (which is lighter than a real one). Each time it is put on a balance scale it switches
Coin-Weighing Problems
• Mathematics
• 1995
Problem 4203—The generalized coin problem
• Amer. Math. Monthly, 53 (1946) 278. Solution, 54
• 1947
Amer
• Math. Monthly, 54
• 1947