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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#234 Re: Help Me ! » How can I know the number of all the possible parse trees? » 2014-01-26 11:07:46

I don't know this stuff, but is the "/" being missed here?

#239 Re: Puzzles and Games » Add 99 more and post it forever. » 2014-01-26 10:43:03

124245

124-99
252-198
544-495
495-495 = 0 remainder

#244 Re: Dark Discussions at Cafe Infinity » Moon sightings » 2014-01-24 08:39:58

Yes!! I've never visited below 25 degrees north, but I have thought about that and imagined that would happen.  That is so cool.  I asked someone who visits Ecuador each year, but she couldn't remember taking note of it.

#247 Re: Puzzles and Games » Add 13 more and post it forever. » 2014-01-24 05:58:23


Now for the real answer:
25090
12 3 0 0 checks.

#250 Help Me ! » four color cube » 2014-01-24 03:59:03

John E. Franklin
Replies: 14

a four dimensional hypercube might be realized in 3-D with a cube with the corners colored with four colors, maybe.
this is a guess that I had a few months ago, but I can't prove it and I'm not sure exactly how it would work.
the reason I'm working on this occasionally is because a 4-D hypercube can also be realized with a 4-variable Karnaugh map, which I used in college for digital simplification of boolean expressions.
I ask of you folks to help me iin anyway, or if not, any questions are also welcome as I might have more info I can provide if you are interested.

I forgot to mention that it is not just a plain old empty hypercube I am talking about I guess.
It is a hypercuble with the sixteen corners being colored with one of two colors (0 or 1, binary).
The reason for this is because then the hypercube expresses the output conditions of a
truth table with its colors, true or false.  Each position on the hypercube (x,y,z,w) are the
input values of the variables in the boolean expression.
For example,   binary output = (input x, input y, input z, input w).
So the coordinates of the corners of the hypercube are the sixteen input permutations.
And the binary output is the color you color that vertex or corner.

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