Triangles

Baby Pierre was right. Rabbie, Ageless and Lavender were on their way back to town and already Lavender was bored.

Ageless was explaining something important about triangles.

On a Euclidian plane, said Ageless, the angles of a triangle always add up to 180 degrees, while on a spherical plane the angles always add up to more than 180 degrees, which can easily be demonstrated by drawing a triangle on a balloon....

Yawn, yawn, yawn, said Lavender. I don't suppose you've got a balloon?

No I haven't, said Ageless.

I thought not, said Lavender.

'Tis interestin'. Go on, said Rabbie.

However, said Ageless, on a hyperbolic plane the angles of a triangle will always add up to less than 180 degrees. And the larger the triangle the less they'll add up to.

I canna quite picture it, said Rabbie, scratching his head.

You'll see, said Ageless, when we get to the Science Exchange. The Crocheted Coral Reef is a perfect physical model of hyperbolic space. If I were a crocheter instead of a knitter, I would have joined the volunteers who helped make it. It also proves that in hyperbolic space Euclid's fifth axiom is violated.

You don't say, said Lavender. As if anyone knows what that is, Ageless! You google too much. I just hope it's pretty!

.......

Meanwhile Baby Pierre was regretting sending Lavender away. Now he was really alone.
What was the use of a quest if you had no one to share it with? If only Frog was still around. But Frog was just a squashed tomato memory.

He walked out on to the jetty. What was it that Lavender had said about a fisherman? The fisherman had a bucket full of yucky things. And what had the Seagull Oracle said about that? 'Well there you are then'.

Baby Pierre walked to the very end of the jetty. He looked out at the grey heaving waves. He looked down at the barnacled pylons. He heard a sound, like the sound of an empty bucket blowing in the wind at the end of a rope.