Caleb Shor
@cshor.org
* Math professor at WNEU
* Director of PROMYS for Teachers at Boston University
* Travel enthusiast
* Fan of lists
* Director of PROMYS for Teachers at Boston University
* Travel enthusiast
* Fan of lists
Yep, that’s the picture I was referring to. (And I understood your description of the reverse L too!)
November 14, 2025 at 11:42 AM
Yep, that’s the picture I was referring to. (And I understood your description of the reverse L too!)
Absolutely a gem! That’s really nice.
November 14, 2025 at 4:21 AM
Absolutely a gem! That’s really nice.
That’s very kind. I’m really just a hot pepper farmer at heart.
November 14, 2025 at 4:00 AM
That’s very kind. I’m really just a hot pepper farmer at heart.
Wait, did you say times table one fell swoop?
November 14, 2025 at 4:00 AM
Wait, did you say times table one fell swoop?
Ah, nice. I haven’t seen that before. My only trick for that sum is the picture with all of the squares in it.
November 14, 2025 at 3:59 AM
Ah, nice. I haven’t seen that before. My only trick for that sum is the picture with all of the squares in it.
Induction yes, though you need to know what the statement is in the first place.
November 14, 2025 at 3:55 AM
Induction yes, though you need to know what the statement is in the first place.
This makes me really happy! A few people in the workshop jumped to this problem. I don’t know if they cracked it before we ran out of time.
November 14, 2025 at 3:54 AM
This makes me really happy! A few people in the workshop jumped to this problem. I don’t know if they cracked it before we ran out of time.
Gracias.
I’m toying with the idea a problem set about dissecting squares into triangles for the next workshop. Thoughts? I can hold off, esp if you could attend somehow (in person or zoom) next semester.
I’m toying with the idea a problem set about dissecting squares into triangles for the next workshop. Thoughts? I can hold off, esp if you could attend somehow (in person or zoom) next semester.
October 19, 2025 at 11:07 PM
Gracias.
I’m toying with the idea a problem set about dissecting squares into triangles for the next workshop. Thoughts? I can hold off, esp if you could attend somehow (in person or zoom) next semester.
I’m toying with the idea a problem set about dissecting squares into triangles for the next workshop. Thoughts? I can hold off, esp if you could attend somehow (in person or zoom) next semester.
FWIW, I just typed this prompt into math-gpt.org and it answered the question correctly.
(There appear to be a few math gpt websites. That’s the first one that appeared when I searched.)
(There appear to be a few math gpt websites. That’s the first one that appeared when I searched.)
May 25, 2025 at 7:06 PM
FWIW, I just typed this prompt into math-gpt.org and it answered the question correctly.
(There appear to be a few math gpt websites. That’s the first one that appeared when I searched.)
(There appear to be a few math gpt websites. That’s the first one that appeared when I searched.)
Looks to me like you negated both the numerator and denominator (instead of just one of them) in the very last step. Otherwise I buy it.
May 19, 2025 at 9:36 PM
Looks to me like you negated both the numerator and denominator (instead of just one of them) in the very last step. Otherwise I buy it.
Thank you for sharing tonight! And on such short notice. Always great to see you. I like the way your brain works.
March 13, 2025 at 2:29 AM
Thank you for sharing tonight! And on such short notice. Always great to see you. I like the way your brain works.
I like this approach! As I read it I was going to mention that it’s in the pcmi materials. And then I finished reading what you wrote. Ha!
March 13, 2025 at 2:26 AM
I like this approach! As I read it I was going to mention that it’s in the pcmi materials. And then I finished reading what you wrote. Ha!
Hadn’t seen that! Thank you for sharing it. You have some really great MO posts.
March 1, 2025 at 2:55 AM
Hadn’t seen that! Thank you for sharing it. You have some really great MO posts.
The problem is quite doable without any knowledge of Legendre symbols btw.
and sending you stuff is on my to do list.
and sending you stuff is on my to do list.
February 28, 2025 at 9:58 PM
The problem is quite doable without any knowledge of Legendre symbols btw.
and sending you stuff is on my to do list.
and sending you stuff is on my to do list.
Ha. That was a fun read. There’s actually a lot of good stuff in there. A lot of handwaving too — not sure it’s providing a ton of insight. The key is why that sum of (n/p) * ((n+1)/p) is -1, which it dodges explaining. I’m not sure that’s a “well-known result” as is claimed.
February 28, 2025 at 7:16 PM
Ha. That was a fun read. There’s actually a lot of good stuff in there. A lot of handwaving too — not sure it’s providing a ton of insight. The key is why that sum of (n/p) * ((n+1)/p) is -1, which it dodges explaining. I’m not sure that’s a “well-known result” as is claimed.
Err, squares mod p. Blah.
February 26, 2025 at 4:02 AM
Err, squares mod p. Blah.