November 2, 2025
Curve Your Enthusiasm
Hyperbolic Non-Euclidean World (2007)
Curvy math, papercraft vibes, VB6 nostalgia—commenters demand the imaginary axis
TLDR: A retro guide to strange, curved worlds is trending again. Comments spar over a missing imaginary axis, joke it was made in VB6, and point everyone to [HyperRogue](https://roguetemple.com/z/hyper/) to actually feel the geometry—proof that weird math is best experienced, not argued.
Remember that quirky 2007 tour of bendy math—the one slicing Möbius strips, peeking into Klein bottles, and even offering a papercraft hyperbolic plane you can touch? It’s back on the radar, and the comments are chaos. The loudest chorus: precision nerds demanding the missing imaginary axis. “If the picture’s complete, where’s the axis?” asked one, kicking off a debate over whether imaginary lines curve in these trippy models.
Meanwhile, the aesthetics crew zeroed in on the art itself: was this drawn in VB6 (Visual Basic 6, that 90s-era programming tool)? Vintage devs cheered, art purists cringed, and a nostalgia wave crashed over the thread. Then the gamers barged in: forget arguments, just go feel the weirdness in HyperRogue, a cult roguelike set on a curved world. Cue screenshots, speedrun flexes, and “get lost in the Upper Half-Plane” jokes.
The original pages tease “Break Pythagorean Theorem” and “Can we come to Euclidean plane without jump,” which commenters instantly turned into memes: math outlaws vs flat-earth refugees. Some begged for more finished chapters, others wanted a Touchable Model sequel. Verdict from the crowd: the math is wild, but the real curve is the comment section. Bring popcorn, a curved ruler, and opinions.
Key Points
- •The index outlines a series on hyperbolic geometry, including horocycles, models (Poincaré disk and upper half-plane), and non-Euclidean metrics.
- •Curvature topics feature osculating circles and the curvature of the pseudosphere, with practical paper-craft models of hyperbolic surfaces.
- •Several entries are under construction, including “Inversion and Infinity” and an advanced part on the upper half-plane model.
- •Projective and topological subjects include the Möbius strip, cross-caps, projective plane, Klein bottle, and the cross ratio.
- •Later sections reference Möbius transformations, hyperboloids, and the Erlangen Programme, connecting projective ideas to broader geometric frameworks.