mathematicians-pod.bsky.social
Teacher. Mathematician. Podcaster https://ko-fi.com/benjamincornish
👤 Joined on 05 March 2025
Followers
Following
Total Posts
@mathematicians-pod.bsky.socialHere's today's #Numstep #Puzzle Can you solve it? #logic #math Full printable here: app.box.com/s/z2trdbrgoz...
Show PostHere is today's #numstep. Can you solve it? #logic #puzzles
Show PostIn this case, we can always apply a projective transformation to move all the intersection points away from the line at infinity, meaning no parallel pairs in the Euclidean plane. So there should be only three distinct cases.
Show PostIt's interesting to consider this in the projective plane instead. There will be fewer different configurations, but how many? For example, the top two are now the same.
Show PostSuppose a collection of lines passes through the points P and Q but no points other than P and Q are shared between any two lines. A line through P but not Q and a line through Q but not P can’t meet in another point so they’d have to be parallel. Any other line would have to pass through P and Q.
Show Post