Sphinx Album ... Page 2

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All Sphinx Sizes Can Be Made

Paul Stephen Elliott
Year 13
Thorne Grammar School
Doncaster, UK

The proof below is presented verbatim as it was presented to Andy Martin, Paul's teacher. Andy writes:

Paul Elliott gave me this proof of Size N existing where N is odd and greater than 5. He has been 'playing' with this task for over 5 years now - he first met it in Year 9 and he has just completed Year 13.

Paul also disproved Sarah Hutchinson's original conjecture that the number of ways of making a prime sphinx will always be a square number.

Maths300 members can see Paul working on Sphinx puzzles in his early days in the Classroom Contributions section of the Sphinx Lesson (#25).

Proof Page 1

Proof Page 2

Proof Page 3

Proof Page 4

Proof Page 5

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