Sphinx Solutions Size 3
REMEMBER, YOU WILL APPRECIATE THESE APPARENTLY SIMPLE SOLUTIONS MORE IF YOU STRUGGLE WITH THE PROBLEM YOURSELF FIRST.
Michael & Tyler
To the best of our knowledge, Michael and Tyler were the first to accept the challenge of finding the Size 3 Sphinx (if it existed). Their story is one of determination and shines as a beacon for Aboriginal people as an example of the quality of the work their children can do. Read their story when you return to the Iceberg of the Sphinx page.
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Michael & Tyler's Size 3 Solution
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At this point a mathematician might ask: Is there another solution?
John Hibbs (HMI, retired)
At the '98 Easter Conference of the
Association of Teachers of Mathematics, John, along with others in a
workshop on Tasks, Technology and
Problem Solving, became engaged with
this sphinx problem. The problem stayed with him and I stayed in his
village for a few days break over Easter. Far too early one morning a
few days later John knocked on the door with this solution:
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John's original hand drawn solution. |
Louise Anderton
I was staying with the Anderton family when
John delivered his solution. His visit caused daughter Louise to ask
what the problem was all about. Perhaps she was a little stunned that
anyone would want to work on maths puzzles in their Easter holiday.
Soon she was also engaged and after working with the puzzle on and
off for a couple of days she produced this solution:
Sarah Hutchinson
Sarah attended Thorne Grammar School, near
Doncaster, England. The Patterns & Powers lesson (listed on the Iceberg of the Sphinx page) was
photographed at Thorne and it seems to have stimulated considerable
interest. Sarah, a Year 8 student at the time, set about studying the
Size 3 Sphinx. She found the three solutions above and also
discovered this fourth solution:
At almost the same time, Sarah's new solution was confirmed by Johan Öberg, a university student from Malmö, Sweden.
And Next?
- Are there any more Size 3 solutions?
- Or, can anyone prove that we now have them all?
A proof that kids could understand would be nice.
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