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In Topic: Non-Figurate Numbers
18 May 2012 - 09:50 PM
i have noticed that as i increase the number of sides, the spacing gets disproportionate which makes "seeing lines" a virtual exercise in futility. in the attached 1000x1000 13-gon, the cells near the origin overlap wheras those further away are spaced ok within a ring. in the attached 1000x1000 33-gon, the array looks pretty much like nested circles. not sure there's anything to be done about it; que sera sera.
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In Topic: Invasive Species
18 May 2012 - 09:31 PM
Under the Rose, on 18 May 2012 - 12:01 AM, said:...
Thank you, Turtle, for starting this thread in action. When I return from work, I shall add an invasive that was introduced to the Yukon by those in authority, more's the irony. What's that saying about 'the road to hell is paved with good intentions', leaving out the debate on the existence of such a place, of course.
Either way, I can't envision 'hell' as being suitable habitat for Hedera helix.
my pleasure.
nothwithstanding that i'm no believer in heaven or hell, good intentions are a hell of a lot better than bad intentions. on to another good intention run amuck here; the invasive himalayan blackberry. these nogoodniks don't restrict themselves to forest and woodlot margins, though they'll get in there & give the ivy a run for the money. again, the problem is only getting worse in my county with the disbanding of the weed control board. i'm not sure if they took the laws off the books that require property owners to control invasive plants, but even if they remain there is no one to enforce them. rather hard to induce tourists to come see our unique ecosystem -and spend their money- when they can't see it for the weeds. wake up people!!

INTEGRATED PEST MANAGEMENT PRESCRIPTION: Himalayan blackberry
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Description:
The Himalayan blackberry is the largest and possibly most
invasive, non-native variety of blackberries in the Pacifi c
Northwest. It was fi rst introduced from Europe to the area as
a crop plant in the 1800’s. Since then, it has invaded large
areas throughout the west coast.
...
Impacts:
Himalayan blackberry grows very rapidly and can cover and replace native habitat that is important for plant and animal diversity. Onceestablished, it will out-compete native vegetation and cover more ground with each season. The fast growing thorny canes make removal difficult and often painful. The canes of Himalayan blackberry can grow ten feet tall and over twenty feet long in a single year.
...
i'll try and get some photos to give y'all some idea of the scope of the problems.
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In Topic: Non-Figurate Numbers
18 May 2012 - 10:23 AM
Turtle, on 17 May 2012 - 11:28 AM, said:...
the interesting pattern is a horizontal line starting from 42 composed of repeating segments of 5 polys and the odd part of a pair.
there are 4 cycles of this patern on the 500x500. never saw this kind of thing with pairs before.
will crank up the size and see where it goes.
42 1 [3, 15]
63 1 [3, 22]
88 1 [3, 35]
117 2 [3, 40, 9, 5]
150 1 [3, 51]
187 pair
...
that is all.
ran a 2000x2000 and found the line continues with variations.
2000x2000: 4 cycles [5-poly pair], then 1 cycle [17-polys junctor], then 2 cycles [5-poly pair], then [11-poly pair], then 1 cycle [17-polys pair], then 1 cycle [11-polys pair], then 1 cycle [5-polys junctor]...
not much to go on, but it's something.
ahhhh the misery...erhm...mystery.
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In Topic: Life And Water
17 May 2012 - 10:16 PM
maddog, on 10 May 2012 - 05:52 PM, said:...
This book is about all the interesting things water does as it freezes. What fascinates me about it is this behavior seems fractally driven. Nonlinear behavior with small input changes can drastically change the output (a completely different crystal).
...
maddog
thought you might find this study interesting maddog, though i only found an abstract.
full Abstract: The Dimensional Characteristics of Ice Crystal Aggregates from Fractal Geometry
choice bits:
C. G. Schmitt and A. J. Heymsfield @National Center for Atmospheric Research, * Boulder, Colorado said:
Ice crystal aggregates imaged by aircraft particle imaging probes often appear to be fractal in nature. As such, their dimensional properties, mass, and projected area can be related using fractal geometry. In cloud microphysics, power-law mass (m)– and area (A)–dimensional (D) relationships (e.g., m = aDb) incorporate different manifestations of the fractal dimension as the exponent (B ).
...
The exponent in the mass–dimensional relationship, the fractal dimension, was found to be between 2.0 and 2.3 with a dependence on temperature noted for both datasets.
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In Topic: Invasive Species
17 May 2012 - 08:18 PM
Under the Rose, on 17 May 2012 - 11:53 AM, said:...
My purpose in starting this thread is to promote a broader discussion than this one fish, however, as it is but one example of many such concerns.
Wherever humans have ventured we have brought with us our plants and animals (and disease, but that can be another discussion). In our ongoing endeavors to shape the environment to better suit our purposes we have also introduced many species with the idea of 'natural control' of an existing plant, animal or insect and in many cases these introduced 'controls' have gotten out of control.
In a number of debates, humans have been touted as the most invasive species of all because of our ability to shape most environments to support our basic needs. Leaving that debate also for another thread, I would invite persons to share on this thread their knowledge and experience of any species that have been introduced into their own region, and whether these introductions have proven beneficial or have become problematic.
where to begin!? the biggy that comes to mind first is English Ivy, which is blanketing much of the urban forestland in my county and making its way outside urban areas. due to budget cuts the county eliminated the weed control board and things are getting worse. many people don't know the damage it does, and many of those who do either don't care or can't afford to remove it.
the english ivy covers the ground & blocks light & takes water & nutrients that native ground plants would otherwise use. the climbing parts of the vines cover tree trunks which kills off the lichens & mosses while adding tremendous weight to trees as well as holding water (and ice and snow) and adding surface area that increases wind load on trees. when english ivy climbs high enough, the leaf shape changes and the plant starts producing seed which birds eat and spread the invasion further.
it's no less than a disaster in my humble view.

here's a blurb from invasive.org.
English ivy
main page of invasive.org. >> Invasive and Exotic Species of North America
Quote
STATISTICS
2,783 Invasive Species
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