A convex octagon completely contains all 28 of its diagonals. But if you move the vertices around you can make portions of some, but not all, of them pass through its exterior. What is the largest number of such diagonals? Equivalently, how many diagonals of an octagon must remain totally in its interior?

## Question

## bonanova

A convex octagon completely contains all 28 of its diagonals. But if you move the vertices around you can make portions of some, but not all, of them pass through its exterior. What is the largest number of such diagonals? Equivalently, how many diagonals of an octagon must remain totally in its interior?

## Link to comment

## Share on other sites

## 2 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.