111–120 of 131 posts
Wait a second. Aren't there actually two different pentagon shapes in use here? Look at the yellow and blue in the OP. They are actually mirror images of each other. Maybe a mathematician would say they are the same, but certainly not someone cutting tile for a bathroom floor. And if these were proteins trying to form a cell wall, that mirroring would be a serious hurdle.
Wait a second. Aren't there actually two different pentagon shapes in use here? Look at the yellow and blue in the OP. They are actually mirror images of each other. Maybe a mathematician would say they are the same, but certainly not someone cutting tile for a bathroom floor. And if these were proteins trying to form a cell wall, that mirroring would be a serious hurdle.
All depends how you define "the same". Mathematicians use "congruency" which allows mirror images.
>"If you can cover a flat surface using only identical copies of the same shape leaving neither gaps nor overlaps, then that shape is said to tile the plane."
"Every triangle can tile the plane. Every four-sided shape can also tile the plane." Can someone point me to a proof of this?
Earlier quoted context omitted.
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.
Part of my point was that the 1% with good ideas aren't actually getting censored. If you can find any recent examples to the contrary, please let me know.
For whatever reason, this reminds me of the recent TED talk that got pulled because the speaker was challenging dogma in research. Can't remember the title off the top of my head.
Earlier quoted context omitted.
Not to answer your question, but here's a simple, unsolved problem: Dissect the circle into congruent pieces such that the center point is in the interior of one of the pieces. It is widely believed to be impossible, but neither proof of impossibility nor construction of an example have been found.
Huh. Is it possible to dissect a circle into congruent pieces that are not, uh, pie shapes? Is that the question, or are there known other ways to dissect a circle into congruent pieces, it's just those pieces also have the center point as an edge point?
Earlier quoted context omitted.
Part of my point was that the 1% with good ideas aren't actually getting censored. If you can find any recent examples to the contrary, please let me know.
Part of my point was that the 'accusation' you claimed against 1arity was that communities exclude outsiders. That you made rationalizations about why they might be excluding outsiders (because they are bad) serves to illustrate that the community might very well be practicing exclusion, and with good reason. I'm challenging the status quo here, and looking for an opportunity to allow quacks to be quacks while we're…
Now I'm curious, how exactly did you come to believe that the scientific community is not welcoming to outsiders with good ideas?
Does anyone have a link to the actual paper?
I did find this reddit post by Dr. Mann [1] where he says:
> We were just in the process of debugging and optimizing the code when our new example was found. Because we are in the early stages of the computational experiments, we were surprised to find this example so quickly. We are hopeful of finding more new examples as we proceed.
[1] https://www.reddit.com/r/math/comments/3fe347/15th_pentagon/...
Earlier quoted context omitted.
All depends how you define "the same". Mathematicians use "congruency" which allows mirror images.
Ah. You learn something every day. I guess the guardian was therefore incorrect in their definition and should have said "congruent copies" ... but "copies" is also probably wrong. Congruent congruencies? >"If you can cover a flat surface using only identical copies of the same shape leaving neither gaps nor overlaps, then that shape is said to tile the plane."