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Conway was once "NerdSniped" by Coxeter ...
I wrote earlier about John Conway's passing and some of my memories
of him: See Remembering Conway
If you don't know what "nerdsniping" is then
you can read on to get a particular example, or you
can visit the XKCD page to learn about it, and then
come back here:

I also mentioned there how he was once nerdsniped by Coxeter. John
didn't call it "nerd sniping"  he didn't know the term  but when I
explained it, he was delighted, as it exactly matched his experience.
So here is the story, as told to me by Conway at MathFest, 2015 ...
Coxeter gave a seminar  he had a proof of a theorem, but it covered
all the cases separately, and he was interested in having a more
general proof that proved all the cases in some sort of overarching
theory.
Later that day, Conway was crossing the road when he realised how
to make the proof work. He stopped in his tracks, and got hit by
a garbage truck! He wasn't badly injured, but limped back to the
department to share his result.
Much later Conway had the opportunity to announce to everyone that
Coxeter had tried to murder him, at which Coxeter looked rather
alarmed. As the story progressed, though, he realised where it was
going and relaxed somewhat.

So that's the story as told to me in person. Later, when I talked
about this a little, I wondered how accurate my memory was. But a
little noodling around on the interwebs, and here it is. Quoting
from "Candid Science V: Conversations with Famous Scientists" by
Balazs Hargittai, Istv n Hargittai, the same story, with a little
more detail.
Coxeter is my hero. I remember a story at one of the conferences
in Coxeter's honor and people were telling how this wonderful man
had turned them into mathematicians. I thought I must say something
different. So when I got up, I said, "Lots of people have come here
to thank Coxeter; I've come here to forgive him." I told them that
Coxeter once very nearly succeeded in murdering me. His murder weapon
was something that even Agatha Christie would never have thought of:
a mathematical problem. Then I told the story, which is actually true.
Coxeter came to Cambridge and gave a lecture. Then he had this problem
for which he gave proofs for selected examples, and he asked for a unified
proof. I left the lecture room thinking. As I was walking through Cambridge,
suddenly the idea hit me, but it hit me while I was in the middle of the
road. When the idea hit me I stopped and a large truck ran into me and
bruised me considerably and the man considerably swore at me. So I
pretended that Coxeter had calculated the difficulty of this problem so
precisely that he knew that I would get the solution just in the middle
of the road. In fact I limped back after the accident to the meeting. Coxeter
was still there, and I said, "You nearly killed me." Then I told him the
solution. It eventually became a joint paper. Ever since, I've called that
theorem "the murder weapon". One consequence of it is that in a group
if $a^2 = b^3 = c^5 = (abc)^{1},$ then $c^{610} = 1.$

So the details differ slightly, but it was a treat to be told it by
Conway in person.
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