**News**| Sept. 19, 2017

# September 2017 Puzzle Periodical - Arabella's Spider Web

By Katrina J., NSA Mathematician

## Can you help Arabella find her bugs on the leaves in her Spider Web?

### Problem:

Arabella the Spider is saving food for the long winter. Arabella wants to store the bugs she caught on 26 fallen leaves, so she can find them later. But, Arabella doesn't want to waste time by going through any leaves more than once.

In Arabella's original web, Arabella can't get to all of the leaves without crossing some of them more than once. But, if Arabella adds just one web between two of the leaves, she can get to every leaf without repeating. There are four different pairs of leaves that Arabella could connect to solve her problem. Can you find all four possible solutions?

**Note:** Arabella may take any path she chooses as long as she begins on leaf 1 and ends on leaf 26.

### Bonus Puzzle:

Can you show why Arabella cannot get to every leaf without repeats on her web as it is now?

Arabella the Spider has a web connecting 26 numbered leaves. The following list describes the connections.

- Leaf 1 - connects to Leaves 6 and 14.
- Leaf 2 - connects to Leaves 8, 11, and 26.
- Leaf 3 - connects to Leaves 5, 18, and 23.
- Leaf 4 - connects to Leaves 16, 19, 22, and 24.
- Leaf 5 - connects to Leaves 3 and 9.
- Leaf 6 - connects to Leaves 1, 14, and 23.
- Leaf 7 - connects to Leaves 10, 11, and 23.
- Leaf 8 - connects to Leaves 2, 11, and 21.
- Leaf 9 - connects to Leaves 5, 12, and 17.
- Leaf 10 - connects to Leaves 7, 13, and 22.
- Leaf 11 - connects to Leaves 2, 7, and 8.
- Leaf 12 - connects to Leaves 9, 20, and 25.
- Leaf 13 - connects to Leaves 10 and 16.
- Leaf 14 - connects to Leaves 1, 6, and 23.
- Leaf 15 - connects to Leaves 21 and 26.
- Leaf 16 - connects to Leaves 4, 13, and 19.
- Leaf 17 - connects to Leaves 9 and 20.
- Leaf 18 - connects to Leaves 3 and 25.
- Leaf 19 - connects to Leaves 16 and 24.
- Leaf 20 - connects to Leaves 12, 17, and 25.
- Leaf 21 - connects to Leaves 8 and 15.
- Leaf 22 - connects to Leaves 4 and 10.
- Leaf 23 - connects to Leaves 3, 6, and 14.
- Leaf 24 - connects to Leaves 4 and 19.
- Leaf 25 - connects to Leaves 12, 18, and 20.
- Leaf 26 - connects to Leaves 2 and 15.