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Besides tiling your bathroom is there any use case for this? Or is this pure for fun and gaining knowledge? Edit: The article is talking about building structures but isn't a triangle the most rigid form? And triangles are already used in building.
"That same year an unlikely mathematical pioneer entered the fray: Marjorie Rice, a San Diego housewife in her 50s, who had read about James’ discovery in Scientific American. An amateur mathematician, Rice developed her own notation and method and over the next few years discovered another four types of pentagon that tile the plane. " https://en.wikipedia.org/wiki/Marjorie_Rice
She has a website for her tesselations (which that Wikipedia article links to), but unfortunately is no longer able to respond to queries: https://sites.google.com/site/intriguingtessellations/home/ There's a nice tiling of butterflies there.
"That same year an unlikely mathematical pioneer entered the fray: Marjorie Rice, a San Diego housewife in her 50s, who had read about James’ discovery in Scientific American. An amateur mathematician, Rice developed her own notation and method and over the next few years discovered another four types of pentagon that tile the plane. " https://en.wikipedia.org/wiki/Marjorie_Rice
that's awesome. Outsider math and outsider art deserve as much respect as "outsider" programming ( startups / garage hackers ) garner. Creating semi-closed communities of insiders, united by what are essentially arcane handshakes, and dismissive of value emerging outside of themselves, is really just both a narrow-mindedness that doesn't behoove innovation and also an admission of an unnecessary insecurity about the…
I am as uneasy with credentialism as anybody, and I think we need to find better ways around these problems, but it's important to understand that at least some of this community exclusiveness stuff actually serves a purpose.
Earlier quoted context omitted.
IMO the analogy doesn't hold up very well. Outsider art is often very good, and outsider programming seems like a weird idea (do startup hackers have less training than BigCo employees?) But that's beside the point. If you're looking at the tiny subset of outsider science that's chosen for correctness and publication-worthiness, of course you'll be enthusiastic about it. But these people, like Marjorie Rice, aren't r…
> their proofs of FLT checked. What does FLT stand for? Fermat's Last Theorem?
Earlier quoted context omitted.
that's awesome. Outsider math and outsider art deserve as much respect as "outsider" programming ( startups / garage hackers ) garner. Creating semi-closed communities of insiders, united by what are essentially arcane handshakes, and dismissive of value emerging outside of themselves, is really just both a narrow-mindedness that doesn't behoove innovation and also an admission of an unnecessary insecurity about the…
But mathematics is about the only field where merit is clear-cut enough that there's no outsider mathematics, even if crank mathematics is clearly recognizable by professionals and even by college calculus-educated adults. If, as often is the case, someone draws a sketchy proof for an ambitious conjecture that seems promising enough, entire communities of professionals spend thousands of man-hours fixing the holes. W…
I wish I had a bathroom to tile - I reckon this could be considered "in vogue" for the next 30 years or so, until they find a newer pentagon. Does anyone know if this can be coloured with 3 colours? Obviously 4 is possible due to the 4 colour theorem and 2 will not work due to to three faces sharing a corner.
Unless your bathroom includes a loop, such as all four walls (even with holes for windows and doors) or over the ceiling. Then the coloured area is no longer a plane, and so the 4 colour theorem does not apply.
Earlier quoted context omitted.
that's awesome. Outsider math and outsider art deserve as much respect as "outsider" programming ( startups / garage hackers ) garner. Creating semi-closed communities of insiders, united by what are essentially arcane handshakes, and dismissive of value emerging outside of themselves, is really just both a narrow-mindedness that doesn't behoove innovation and also an admission of an unnecessary insecurity about the…
IMO the analogy doesn't hold up very well. Outsider art is often very good, and outsider programming seems like a weird idea (do startup hackers have less training than BigCo employees?) But that's beside the point. If you're looking at the tiny subset of outsider science that's chosen for correctness and publication-worthiness, of course you'll be enthusiastic about it. But these people, like Marjorie Rice, aren't r…
> 99% outsider science is extremely bad, and can't understand why it's bad even after repeated explanations
A challenge dealing with noise in a system is an opportunity for a solution, not a rationalization to censor people. That < .01% may be onto something big.
Earlier quoted context omitted.
IMO the analogy doesn't hold up very well. Outsider art is often very good, and outsider programming seems like a weird idea (do startup hackers have less training than BigCo employees?) But that's beside the point. If you're looking at the tiny subset of outsider science that's chosen for correctness and publication-worthiness, of course you'll be enthusiastic about it. But these people, like Marjorie Rice, aren't r…
The only person throwing accusations around is you. This is a huge blanket blaming statement: > 99% outsider science is extremely bad, and can't understand why it's bad even after repeated explanations A challenge dealing with noise in a system is an opportunity for a solution, not a rationalization to censor people. That < .01% may be onto something big.
Earlier quoted context omitted.
I mean something simple enough to understand, and could be played by average programmer in a IPython Notebook. I didn't mean simple to solve, just lower barrier of entry.
I like this one: http://www2.stetson.edu/~efriedma/squinsqu/ Can be easily generalized to other shapes and more dimensions too.
Does anyone make bricks in these shapes? Those would make an awesome paver pattern.