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# Author Archives: Brent

## Another greedy coins game update

Another update on the analysis of the greedy coins game (previous posts here, here, and here). I will make another post very soon explaining how to compute optimal play. In my previous post I reported that Thibault Vroonhove had conjectured … Continue reading

Posted in games, proof
Tagged coins, conjecture, game, proof, strategy, two-player, zero-sum
Leave a comment

## Greedy coins game update

I plan to write a longer post soon, but for the moment I just wanted to provide a quick update about the greedy coins game (previous posts here and here). It turns out that the game is a lot more … Continue reading

Posted in games, proof
Tagged coins, conjecture, game, proof, strategy, two-player, zero-sum
18 Comments

## Ties in the greedy coins game

In my previous post I described the “greedy coins game” and conjectured that the first player always has a strategy to win or at least tie. I had been unable to prove it, but suspected there must be some nice … Continue reading

## The greedy coins game

Here’s an interesting game I’ve been thinking about.1 There is a row of coins on the table; each coin can have any positive integer value. Two players alternate turns. On a player’s turn she must take one of the two … Continue reading

## Post without words #14

(click here for a bigger version)

Posted in pattern, pictures, posts without words
Tagged graph, hypercube, projection, subset, symmetry
14 Comments

## Fibonacci’s Problem of the Birds

I have been enjoying reading Keith Devlin’s new book, Finding Fibonacci. I’ll write more about the book later. For now, I just wanted to share a nice problem I learned about which Leonardo Pisano, aka Fibonacci, included in his book … Continue reading