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I am a software engineer with an interest in mathematics. My particular area of interest is the Goldbach conjecture. I am also interested in the twin prime conjecture. I hope to learn more about modular arithmetic and set theory in the near future.


Oct
8
revised Longest Odd/Even Sequence in Composite Patterns
Last edit - added a bit of practical explanation of results, this edit - replaced 'potential composite'.
Oct
8
comment Longest Odd/Even Sequence in Composite Patterns
@Gerry Myerson - Actually the black-filled square represents a Goldbach Pair, oops.
Oct
8
comment Longest Odd/Even Sequence in Composite Patterns
@Gerry Myerson - Sorry to throw that one in unexplained. I really meant that it was either a composite or the prime that gave rise to it. In contrast to the black-filled square that is definitely a prime. Sometimes there is a fine line between too much detail and not enough and maybe I got on the wrong side of it.
Oct
8
revised Longest Odd/Even Sequence in Composite Patterns
Change 'convergence with' to 'divergence from'
Oct
8
asked Longest Odd/Even Sequence in Composite Patterns
Oct
7
revised What are my chances in a Most Excellent Adventure?
changed sided to faced for accuracy
Oct
7
answered What are my chances in a Most Excellent Adventure?
Oct
5
suggested rejected edit on Run away from lions in a cage
Oct
5
awarded  Teacher
Oct
3
revised A slightly stronger version of the Goldbach conjecture?
Rewording from 'additional' to 'distinct'
Oct
3
revised A slightly stronger version of the Goldbach conjecture?
Minor corrections
Oct
3
answered A slightly stronger version of the Goldbach conjecture?
Oct
2
comment Rotating equilateral triangles
Not with you on that Brian, but thanks for responding and I think it's best that I drop it now. I may stick with rotating machinery that has round things in future because these rotating triangles do strange things.
Oct
2
comment Rotating equilateral triangles
@Brian M. Scott - Does that also apply to the point that is 1/2 of a small triangle's side length anti-clockwise from the point in question: It initially moves through an arc of smaller radius.
Oct
2
comment Rotating equilateral triangles
Thanks for the help. I think what you're saying (in laymans terms) is that if I were to walk a path of fixed length, but the path was changing shape, then although I might have walked the distance of the path I would have moved further by virtue of the distortion. I sort of get the point.
Oct
2
awarded  Editor
Oct
2
revised Rotating equilateral triangles
clarification of the reason behind the answer.
Oct
1
comment Rotating equilateral triangles
And while I can't argue with your calculations, it does lead to the rather weird implication that a triangular wheeled tank will move further in one revolution of its tread than the length of the tread, even though the tread doesn't stretch. Or am I missing something?
Sep
30
comment Rotating equilateral triangles
At first glance that sounds like a paradox. I'm not saying your wrong though.
Sep
30
comment Rotating equilateral triangles
If we consider the bottom left vertex on the top triangle and the bottom left vertex on the lower left triangle. As the triangles rotate together, do the points get closer or further apart? I thought neither, which is why I took the view that the rubber band didn't stretch and so the total distance was simply the perimeter of the larger triangle.