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#straightlines — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #straightlines, aggregated by home.social.

  1. Still Life, 20230705. Watercolour pencil on paper. Drawn with a ruler. Probably should get it wet and see what happens. Very different style from my previous ruler drawings ( mastodon.art/@dcsparkes/110005 & mastodon.art/@dcsparkes/109951 ). #StraightLines #StillLife #drawing #MastoArt #timelimit 1hr

  2. You can also explore #non-Euclidean space and here is the same action in #HyperbolicSpace (here in a #PoincaréDisc). #StraightLines are replaced by #GeodesicLines which look like #CircularArcs which intersect the #disc at #RightAngles. Circles are transformed to circles but their hyperbolic centres are not at their Euclidean centres.

    Repeating the construction for Euclidean space, you can see that the parallel lines diverge.

    #Mathematics #Geometry #NonEucldeanGeometry #FreeSoftware

  3. You can also explore #non-Euclidean space and here is the same action in #HyperbolicSpace (here in a #PoincaréDisc). #StraightLines are replaced by #GeodesicLines which look like #CircularArcs which intersect the #disc at #RightAngles. Circles are transformed to circles but their hyperbolic centres are not at their Euclidean centres.

    Repeating the construction for Euclidean space, you can see that the parallel lines diverge.

    #Mathematics #Geometry #NonEucldeanGeometry #FreeSoftware