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CaptainEd added an answer to a question Count the Flags
I assume that
( 1 ) as the number of flags is bounded (between 100 and 1000), we can require enough memory to store a record for each found flag, and can declare how long a record is
( 2 ) a memory cell has finite precision, and that the dimensions of the maze could be arbitrarily greater than the largest value of a cell. So, although we could store some information about each found flag, we could NOT store coordinates. In fact we cannot even store coordinates of one spot (after all, we may have walked a googolplex number of steps in a straight line).
( 3 ) we are NOT permitted to leave anything in a square except a flag, and are not permitted to distinguish the orientation of the flag.
Are these all true assumptions about the rules?

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CaptainEd added an answer to a question Partitioning a Triangle into similar pieces
Bonanova showed that right triangles could be partitioned into similar but noncongruent triangles. All I showed is that no other triangles can be partitioned into similar triangles.

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CaptainEd added an answer to a question Base 10 and base 3 equivalents

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CaptainEd added an answer to a question Partitioning a Triangle into similar pieces
Neither. It doesn't prove that the condition can be met for right triangles, only that IF the condition can be met at all, it can only be for right triangles.

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CaptainEd added an answer to a question Partitioning a Triangle into similar pieces
Here's my attempt at a proof that only right triangles are solutions to the OP.
oops, sorry, don't know how to attach the files INSIDE the spoiler...
.

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CaptainEd added an answer to a question Find the radius
I no longer remember whether I ever knew this, but...
So, I've caught up with Rob

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CaptainEd added an answer to a question The mean of four numbers
If we interpret the clause as "...d has to decrease by two to keep the same median of (a,b,c,d)", I get an unequivocal answer (edited from a moment ago)

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CaptainEd added an answer to a question The mean of four numbers
BMAD, I'm also having difficulty interpreting the words "...d has to decrease by two to keep the same median". The only median mentioned so far is the median of a and b. As Rob and Araver have said, the value of d has no effect on the median of a and b. So, should we interpret the fragment above as: "...d has to decrease by two to keep the same median of (a,b,c,d)"?

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CaptainEd added an answer to a question Double up!
Araver, I'm assuming that the shortest path is what counts, and that a stakes assignment with two or three equal numbers counts as zero. I think the coinflipping is window dressing...Of course, Bonanova's opinion is more reliable :)
Here's my answer at 8 steps:

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CaptainEd added an answer to a question Double up!
ok, here's my submission for N=5:

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CaptainEd added an answer to a question Double up!
i fear I still don't understand

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CaptainEd added an answer to a question Double up!

CaptainEd added an answer to a question Double up!
I think I misunderstood; I guess in your description, a "turn" is the same as a "round", and the "two active players" are the two who flipped the same side of the coin. So, if they had 1,1,3 and the 3 was the odd man out, then the game is over. Have I got it this time?

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CaptainEd added an answer to a question Double up!
If the stakes are 1,1,3, and the 3 is odd man out, which one of the 1s loses his stake to the other? I presume this is how we lose players, right?

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CaptainEd added an answer to a question Highest of the lows
50 sequences, avg 958.14
100 sequences, avg 959.17, max 995, min 91
it is looking like about 959. Why?<shrugs emoji>

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