Pinning–the very start, cnt 1

Let

    X := \{0\ 1\ 2\ 3\ 4\ 5\}

Let’s define a coloring  \gamma : \binom X3 \rightarrow Z_2  as follows:

    \gamma(\{a\ b\ c\})\ \ :=\ \ a+b+c \mod 2
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Then it’s easy to show that there is no unicolor tetrahedron.

(This is a very weak result but still a nice exercise :-)).

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