Michael Wascher
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An engineer -- I make things!
An engineer -- I make things!

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Always love the Dr Who Christmas shows. ﻿
The Doctor Who Christmas special is “absolutely beautiful” and made Mark Gatiss cry

We have a long wait for any new Who but Mark Gatiss, one of the true fans of the show, says the Christmas Special is worth the wait:

“I think the Christmas special… which is the only one this year…I think is one of Steve’s best ever scripts, absolutely beautiful,” Gatiss told the audience at a Victoria & Albert Museum members’ talk last night.
“It made me cry.”

#doctorwho
﻿
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At my present workplace knot a problem.﻿
Tie Knots

During their time at Cambridge University’s Cavendish Laboratory, Anglo-American Physicist Thomas Fink and his colleague Yong Mao learnt how to tie ties.

Seeking a marriage of science and beauty, Thomas M. A. Fink and Yong Mao, research fellows at Cambridge University, have applied the rigors of mathematics to that most basic of fashion statements, the necktie knot. In the process they have come up with six new ways of tying a tie.

Dr. Fink, who in his more serious moments investigates protein folding, and Dr. Mao, who specializes in colloids and polymers, felt that the world might be ready for a new knot or two. Of the four in common use, the four-in-hand (so named because it was used by drivers of four-in-hand carriages) dates from the 19th century, while the Windsor and the half-Windsor, were popularized in the 1930's by the Duke of Windsor. Only the Pratt knot, publicized about a decade ago, has a more recent history, and some dismiss it as simply a reverse Windsor.

More here (article): https://goo.gl/TKEHYR

Of the 85 possible tie knots that can be tied with a tie of conventional length, the following are of particular interest. The first number is the number of the knot, as catalogued in the Summary of Knots in The 85 Ways and at the bottom of this page. Some of the knots have close cousins with which they are often confused (not including mirror images). These typically involve the transposition of one or more L-R pairs. They are indicated by prefixing the name of their relation with 'co-', as in co-Windsor.

More here (blog): https://goo.gl/ahS7N7

The discovery of all possible ways to tie a tie depends on a mathematical formulation of the act of tying a tie. In their papers (which are technical) and book (which is for a lay audience, apart from an appendix), the authors show that necktie knots are equivalent to persistent random walks on a triangular lattice, with some constraints on how the walks begin and end. Thus enumerating tie knots of n moves is equivalent to enumerating walks of n steps. Imposing the conditions of symmetry and balance reduces the 85 knots to 13 aesthetic ones.

The 85 Ways to Tie a Tie (Wikip): https://goo.gl/Pr3y4Y

The 85 Ways to Tie a Tie (Library): https://goo.gl/vz8SCm

Designing tie knots by random walks (Nature pdf): https://goo.gl/IFXr0z

Tie knots, random walks and topology (Nature pdf): https://goo.gl/pnHcZW

Image: https://goo.gl/HBxrJe﻿
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Must make this.﻿
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Love this place, the lodge at the top of the falls is wonderful, their restaurant serves the best brunch I've ever had!﻿
Snoqualmie Falls

The 0.7-mile interpretive trail from the upper falls viewpoints to the lower falls viewpoint is family- and pet-friendly, good for beginners, teaches the basics of the flora and fauna near Snoqualmie Pass, informs about local Native American culture, and ends with impressive views of a Washington icon.

From the railed Falls Viewpoint, head down the walkway and make a right turn, and then a left, leading you behind the gift shop and visitor center. You will come to a kiosk with a map. The broad, gravel trail is just across the access road from the kiosk. As you descend approximately 250 feet over 0.4 miles, take a look at interpretive plaques introducing the native wildlife and provide their Snoqualmie names. Ferns, salmonberry, vine maple, alder, bigleaf maple, western hemlock, Douglas fir, and western redcedar are the major flora here, and they put on a flashy display of color in the fall. This section is a steep, providing a short challenge on the way back up. It is an excellent introduction to the region for novice hikers.

At the bottom of the hill, the trail passes by a lower parking lot and then follows a boardwalk along the river. Take in the sound of the waters crashing as you walk the final flat 0.3 miles to a viewpoint of the river curtaining down in a cloud of spray. Read the signs that chronicle the falls’ historical and cultural significance.

The Snoqualmie Tribe consider the falls to be humanity’s place of origin, and the crushing waters have provided energy to a hydroelectric plant since 1898. Today, the Snoqualmie River’s 268-foot drop generates electricity for Puget Sound Energy, which manages the site. In the early 90s, Snoqualmie Falls became a cult icon when it featured prominently in the credit sequence to David Lynch's television series "Twin Peaks". The success of the show turned the falls into a local landmark that draws 1.5 million visitors per year.

Though you may be tempted to get closer to the famed falls, please don’t climb over the gate or railings to the river below, as the surfaces are often slippery, and river levels may change unpredictably.

WTA Pro Tip: After your hike, continue east on SR-202 for 1 mile for a visit to historic Snoqualmie, with its boutique shops, small restaurants, and train museum.

The Image:

RAINBOW AT SNOQUALMIE FALLS IN WASHINGTON
Posted on November 12, 2013 by MichaelMatti

Image Credit: Michael Matti

Data Source: http://www.wta.org/go-hiking/hikes/snoqualmie-falls

#amazingplacestosee #amazingphotos #waterfall﻿
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A long time to wait for a punchline.﻿
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So that's how much time I spent ... not counting reruns. ﻿
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In the final afternoon sun

This picture along with more than a thousand others, can be downloaded for free in full size at my page: http://pixelfantasies.com/six-legs-or-more/﻿