Past exam of the probability, statistics and options I course of the University of Oxford / 2009 / R / 1 / i

Table of contents
- Solution i

Solution

Label the outer square

000, 001, 011, 010

in cyclic order and the inner square

100, 101, 111, 110

in corresponding order. Join corresponding vertices radially. Each edge changes exactly one bit, so this gives every edge of

Q_{3}

, with no crossings.

Figure 1.
A labelled planar cube with edge colours determined by the coordinate that changes
. Details.

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