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My web woes

I really like this small change. I wasn't expecting such a big difference. I was aiming to promote the octagram called the Star of Lakshmi or khatam sulayman, which is two overlapping squares following the recent descending pentagons had two overlapping pentagons. I switched back to emphasizing the square rather than the triangles and ended up with this above pattern. I quite like the details in this pattern. Probably, it doesn't actually benefit that much from the animation. Or perhaps I need to work on a different animation......Polyproblems for this blog relate to the shifting sands of the web.  When I was happily posting rasterized images of my tilings, I ran into no big issues.  Blogger stored all my photos (screen captures in png format) transparently in some google place like picasso but didn't bother me about storage and such.  But then I ran across SVG files and became quite drawn to the vector way (also my previous postscript skills were somewhat resurrected--alt…

Back to Vagrancy

Now that I'm out of ZU (my old employment), I'm back to vagrancy. So I'll have a bit more time for my blog.  My first thing will be to redo all the links that use SVG files.  I will probably just host my images on jimmorey.com but I'll do it when I have access to a real computer not my 7" tablet.  We'll have to see if I extend the scope of my blog to include more than just polygons to some visualizations like my "Weeping Willow" figure that depicts the hailstone function.  I particularly like the meaningful drooping branches that happen to be composed of numbers that are multiples of three.  I was probably thinking about using that resource to teach about CSS but it's current form is too complex.  I'm not sure if I can simplify the example into something that would work well with novices.

I guess since I can't fix the images yet, I'm stuck with writing about these less polygon things...  Unless I can easily link it to polygoncraze...…

Opacity Changes

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I really like this small change. I wasn't expecting such a big difference. I was aiming to promote the octagram called the Star of Lakshmi or khatam sulayman, which is two overlapping squares following the recent descending pentagons had two overlapping pentagons. I switched back to emphasizing the square rather than the triangles and ended up with this above pattern. I quite like the details in this pattern. Probably, it doesn't actually benefit that much from the animation. Or perhaps I need to work on a different animation...

Descending Squares

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Unlike normal, I was able to deliver the square version of the descending pentagons quickly. There was no math to figure out. although there was one interesting choice that I looked into. The choice was to place the 45 triangles to be touching the previous square rather than the corner square. I guess it's simply a preference about complexity. I like both. The first version is a simple analogue of the descending pentagons--actually it was the original doodle on my boogie board. I find the boogie board is a great exploratory tool because of it's impermanence. Somehow it helps me focus on process rather than product. The version of the boogie board I have doesn't save any of your work and there is no erase so you are stuck with any mistakes unless you erase the entire drawing. So I am tasked with focusing on the internalizing any thing that I do that I think is important. Perhaps this is a bit of a throw back to all the time I spent with chalk and blackboards. Regardle…

Descending Pentagon

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You have to reload this page to see the animation ...perhaps I should put it on a bit of a repeat.  It took a surprising amount of high school math to unravel how to make this.  I guess I could have been content with just eyeballing it but that seems to take all the challenge away plus it makes it more difficult to augment later. Perhaps I should have used a better tool than Excel: maybe Geometer's Sketchpad.  Next time.  Perhaps I'll put up the square version of this pattern when I get the time.   Essentially, it's a snazzy version of starting with a pentagon and using the sides midpoints to make a slightly smaller pentagon and descending forever (or in this case 12 levels?).  The snazziness is was the time consuming part.  Computing the lighter bands took a bit of effort--more of a stamina thing rather than a difficult thing.

Octagonal flowers

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This pattern has a few cute things: a right and left handed version of the flower and some structures that seem a little out of place. The green flower is the left and the purple is the right. What I find more interesting is the way the 4 octagons behave between the flowers--there is a diagonal slit between them that alternates its direction.  The pentagons are just decorative but they make the white space more interesting.

Quilt and wallpaper

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I was going to try to get this into last month but alas February only has 28 days this year. here is a toned down copy that works for wallpaper wall (colour), wall (blue), and wall (sepia). I was a bit lazy using a tool to crop it so it's in pdf rather than svg...but my MacBook pro accepts it as my desktop background so I didn't pursue it.