Sit down and take a walk with me, won’t you? I’m remodling my treehouse, getting extravagant. Hyperbolic space simply has more room than Euclidean, so you can’t really blame me. Shall we parallel? You’ll have to project yourself over here, honey, steriographically. Form a point, there you go. Now circle that square; I’ll give you a hand. Pivot. Pivot. Mind the möbius transformation! Oh whacked your head right on it: sorry about that, it was in a different place yesterday. There you go and square the circle. That’s better! Now shall we be asymptotic or ultraparallel? I know, six of one. Though it does seem the older I get the fewer I know.