Benjamin Cornish

Benjamin Cornish

mathematicians-pod.bsky.social

Teacher. Mathematician. Podcaster https://ko-fi.com/benjamincornish

👤 Joined on 05 March 2025

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  • 05 Mar 2025, 13:06
    🎉 Bluesky'e katıldı - İlk kullanıcı adı: @mathematicians-pod.bsky.social

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26 August 2026 08:22

Here's today's #Numstep #Puzzle Can you solve it? #logic #math Full printable here: app.box.com/s/z2trdbrgoz...

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24 August 2026 10:20

Here is today's #numstep. Can you solve it? #logic #puzzles

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In 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.

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It'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.

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Suppose 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.

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