138 reputation
9
bio website
location Michigan
age 51
visits member for 3 years, 4 months
seen Sep 15 '13 at 19:57

I'm a software architect specializing in solid modeling. I've been programming since the early 1980's (yikes!)

I studied mathematics at Arizona State University, but was seduced away by fame and fortune before finishing my graduate work.


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awarded  Autobiographer
Aug
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revised Generalizations of winding numbers
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Aug
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revised Generalizations of winding numbers
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comment Generalizations of winding numbers
yeah, your post gave me the same idea, which lead me to the idea of using the medial axis to give a metric. See if you like it.
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answered Generalizations of winding numbers
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comment Generalizations of winding numbers
Good idea for the star case, although I was hoping for something for general simple-closed boundaries.
Aug
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comment How many different shapes can I make with this toy?
It might be interesting to see what upper bounds can be discovered for this, as I imagine it would be hard to come up with the actual number. I spent a pleasant afternoon once discussing a similar problem: how may shapes could one have in a game of n-tris, a generalization of tetris where the shapes were all comprised of n connected squares with no holes.
Aug
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comment Generalizations of winding numbers
@johnmangual, the fact that winding numbers are integers covers a multitude of rounding and truncation errors, but if I wanted to work harder I'd use a more robust method like vector crossing counts. I was using winding numbers as a quick way to get Mathematica's RegionPlot function to work with a fairly simple boundary. Anyway, my question is more one of curiousity, it's not tied to my work.
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asked Generalizations of winding numbers
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comment Name this concept: Comparing equal sized vectors vs. comparing features
You might want to ask this on astronomy.stackexchange.com. I think they do something similar to align sequences of images in order to get an enhanced composite image.
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comment circle that touch quadrantal internally
@J.M.: I'm assuming kim want's the inscribed circle
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answered circle that touch quadrantal internally
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answered Family of 2x2 linear equations
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comment Why is this curve convex?
Are you sure they want you to use polar coordinates? You could put $\theta$ on the x axis and r on the y axis.
Sep
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revised Probability distribution function
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revised Probability distribution function
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revised Probability distribution function
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answered Probability distribution function
Sep
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comment 4 items add up to and multiply to 7.11 what are the value of the items?
@anon: Right you are! (duh!)
Sep
21
comment 4 items add up to and multiply to 7.11 what are the value of the items?
@anon: if $\pi$ is too expensive, maybe I can just buy a piece?