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.
Michael & Tyler's Size 3 Solution
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:
John's original hand drawn solution.
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 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.
- 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.