Math Is Fun Forum

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

You are not logged in.

#178 Re: Puzzles and Games » Add 14 more and post it forever » 2014-02-04 03:09:10

Here goes a few of them all at once.

294 = 14 x 21
308 = 14 x 22
322 = 14 x 23
336 = 14 x 24
350 = 14 x 25
364 = 14 x 26
378 = 14 x 27
392 = 14 x 28
406 = 14 x 29

#179 Re: Puzzles and Games » Add 24 more and post it forever » 2014-02-04 03:01:39

I feel like doing more than one so here goes...

600 = 24 x 25
624 = 24 x 26
648 = 24 x 27
672 = 24 x 28
696 = 24 x 29
720 = 24 x 30
744 = 24 x 31
768 = 24 x 32
792 = 24 x 33
okay, that was fun.

#185 Re: Puzzles and Games » Add 99 more and post it forever. » 2014-02-02 08:35:40

126126

12 + 61 + 26

13*9*1000 + 13*9 + 9009 = 14*9*1000 + 14*9

#189 Re: Help Me ! » four color cube » 2014-02-02 06:44:36

The following is just info on the cuff with little proven:

I am persuaded to believe there are 24 faces and 8 adjacent faces to each face.  This I see with the tesseract hypercube drawing and also with the karnaugh map 4x4 array drawn on a torus or doughnut shape.    The torus one is harder to see, but you get 16 small squares followed by 4 big rings and 4 waist-rings for the 4 edges of the faces.  (of course I may not be right on this because they are just two examples in 3-d)  To make a face from the binary numbers, just choose 2 of the digits and do KT, TK, KT, TK, where T=toggle and K=keep same.  As for drawing this new graph, I think it is more complicated than the hypercube at first glance because each vertex has eight exiting edges instead of four.

#190 Re: Help Me ! » four color cube » 2014-01-31 06:01:11

Now a hypercube of any
dimension can be engraved on
a number line with rainbow
curved lines to interconnect the
vertices.  Here is a rough
sketch to give the impression
of what is happening.
As each dimensiion is added,
we clone the below and put
it above and make the many
interconnections in a simple
way.

#191 Re: Help Me ! » four color cube » 2014-01-31 05:26:26

The Karnuagh map intended originally to
produce SOP and POS boolean equations
is shown below using graph theory to
emphasize how the adjacent boxes in
the karnaugh map differ by one binary
digit (chiffre en francais).  Notice also
that the Karnaugh map "wraps"around
like the old Atari Astroids game.

It cannot be overemphasized that this
Karnaugh map graph is exactly a
hypercube graph.  Most hypercube
drawings don't look this flat but it
still wraps around vertically and horizontally.

#193 Re: Puzzles and Games » Add 99 more and post it forever. » 2014-01-31 04:18:33

125631

12 + 56 + 31 = 99

%99 => 26 266 68 683 83+6 89 891 900-9 yes.

#196 Re: Puzzles and Games » Add 14 more and post it forever » 2014-01-31 04:13:27

two forty twelve = 252
11, 112 = 98 + 14
112 = 14 x 8 ?
yes.

#198 Re: Help Me ! » four color cube » 2014-01-31 04:03:46

Perhaps this 3-d
drawing will
assist me in my
blurry project
about boolean
algebra, karnaugh maps
and cubes and hypercubes
and maybe logic circuit
minimization.

#199 Re: Help Me ! » four color cube » 2014-01-31 02:57:29

In graph theory,
the vertices are
drawn as dots, but
I have expanded this
for my drawing of a
cube in 2-D.
I am allowing the
zero ring to be equivalent
to a dot to allow the image
to be symmetrical in 2-D.

Board footer

Powered by FluxBB