Miller's knot
ABoK #1241 around the neck of a paper bag
Names	Miller's knot, Sack knot, Bag knot
Category	Binding
Related	Ground-line hitch, Constrictor knot, Strangle knot, Clove hitch
ABoK	#388, #389, #390, #1241, #1242, #1243, #1244

A miller's knot (also sack knot or bag knot) is a binding knot used to secure the opening of a sack or bag. Historically, large sacks often contained grains; thus the association of these knots with the miller's trade. Several knots are known interchangeably by these three names.^[1]

Variations[link]

As noted above, several distinct knots have historically been known as miller's, sack, or bag knots. To avoid ambiguity, these knots are listed below by the reference numbers found in The Ashley Book of Knots. All of these knots can also be made in a slipped form by completing the final tuck with a bight instead of the end.^[2]

#1241[link]

#1242[link]

#1243[link]

This knot is also a useful hitch and is known by the name ground-line hitch when used for that purpose.^[2]

#1244[link]

This variation is noted by Ashley as having better binding characteristics than the others.^[2]

See also[link]

• List of binding knots
• List of knots

References[link]

1. ^ Clifford W. Ashley, The Ashley Book of Knots (New York: Doubleday, 1944), 62.
2. ^ ^{a b c} Ashley, 224.

Some knots

1. Yarn knot ABoK #2688
2. Manrope knot
3. Granny knot
4. Rosebud stopper knot (?)
5. Matthew Walker's knot
6. Shroud knot
7. Turks head knot
8. Overhand knot, Figure-of-eight knot
9. Reef knot, Square knot
10. Two half hitches

A knot is a method of fastening or securing linear material such as rope by tying or interweaving. It may consist of a length of one or several segments of rope, string, webbing, twine, strap, or even chain interwoven such that the line can bind to itself or to some other object—the "load". Knots have been the subject of interest for their ancient origins, their common uses, and the area of mathematics known as knot theory.

Use[link]

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There is a large variety of knots, each with properties that make it suitable for a range of tasks. Some knots are used to attach the rope (or other knotting material) to other objects such as another rope, cleat, ring, or stake. Some knots are used to bind or constrict objects. Decorative knots usually bind to themselves to produce attractive patterns.

Teaching[link]

Sailors learning knots and ropework in the early 20th century

While some people can look at diagrams or photos and tie the illustrated knots, others learn best by watching how a knot is tied. Knot tying skills are often transmitted by sailors, scouts, climbers, cavers, arborists, rescue professionals, fishermen, linemen and surgeons.

Applications[link]

Truckers in need of securing a load may use a trucker's hitch, gaining mechanical advantage. Knots can save a spelunker from finding himself buried under rock. Many knots can also be used as makeshift tools, for example, the Bowline can be used as a rescue loop, and the Munter hitch can be used as a belay. The Diamond hitch was widely used to tie packages on to donkeys and mules.

In hazardous environments such as mountains, knots are very important. In the event of someone falling into a ravine or a similar terrain feature, with a rope or two, some carabineers, and knowledge of knots you can set up a rappel system to lower yourself down to the individual and set up a hauling system to allow another individual to pull you and the injured person out of the ravine. Further application of knots includes developing a high line, which is basically equivalent to a zip line. Using the high line you can move supplies, injured people, or those lacking training in rappelling and rock climbing across a river or a large crevice or ravine. Note the systems mentioned typically require carabineers and the use of multiple useful knots. These knots include the bowline, double figure eight, munter hitch, munter mule, prusik, autoblock, and clove hitch. Thus any individual who goes into a mountainous environment should have basic knowledge of knots and knot systems to increase safety and the ability to do interesting activities such as rappelling.

Knots can be applied in combination to produce complex objects such as lanyards and netting. In ropework, the frayed end of a rope is held together by a type of knot called a whipping knot. Many types of textiles use knots to repair damage. Macrame, one kind of textile, is generated exclusively through the use of knotting, instead of knits, crochets, weaves or felting. Macramé can produce self-supporting three dimensional textile structures, as well as flat work, and is often used ornamentally or decoratively.

Properties[link]

Strength[link]

Knots weaken the rope in which they are made.^[1] When knotted rope is strained to its breaking point, it almost always fails at the knot or close to it, unless it is defective or damaged elsewhere. The bending, crushing, and chafing forces that hold a knot in place also unevenly stress rope fibers and ultimately lead to a reduction in strength. The exact mechanisms that cause the weakening and failure are complex and are the subject of continued study.

Relative knot strength, also called knot efficiency, is the breaking strength of a knotted rope in proportion to the breaking strength of the rope without the knot. Determining a precise value for a particular knot is difficult because many factors can affect a knot efficiency test: the type of fiber, the style of rope, the size of rope, whether it is wet or dry, how the knot is dressed before loading, how rapidly it is loaded, whether the knot is repeatedly loaded, and so on. The efficiency of common knots ranges between 40—80% of the rope's original strength.^[2]

In most situations forming loops and bends with conventional knots is far more practical than using rope splices, even though the latter can nearly maintain the rope's full strength. Prudent users allow for a large safety margin in the strength of rope chosen for a task due to the weakening effects of knots, aging, damage, shock loading, etc. The working load limit of a rope is generally specified with a significant safety factor, up to 15:1 for critical applications.^[3] For life-threatening applications, other factors come into play.

Security[link]

Even if the rope does not break, a knot may still fail to hold. Knots that hold firm under a variety of adverse conditions are said to be more secure than those that do not. The main ways knots fail to hold are:

Slipping[link]

The load creates tension that pulls the rope back through the knot in the direction of the load. If this continues far enough, the working end passes into the knot and the knot unravels and fails. This behavior can worsen when the knot is repeatedly strained and let slack, dragged over rough terrain, or repeatedly struck against hard objects such as a masts and flagpoles.

Even with secure knots, slippage may occur when the knot is first put under real tension. This can be mitigated by leaving plenty of rope at the working end outside of the knot, and by dressing the knot cleanly and tightening it as much as possible before loading. Sometimes, the use of a stopper knot or, even better, a backup knot can prevent the working end from passing through the knot; but if a knot is observed to slip, it is generally preferable to use a more secure knot. Life-critical applications often require backup knots to maximize safety.

Capsizing[link]

Bowline

Capsizing (or spilling) a knot refers to changing a knot's form and rearranging its parts, usually by pulling on specific ends in certain ways.^[2] When used inappropriately, some knots tend to capsize easily or even spontaneously. Often the capsized form of the knot offers little resistance to slipping or unraveling. A Reef Knot, when misused as a bend, can capsize dangerously.

Sometimes a knot is intentionally capsized as a method of tying another knot, as with the "lightning method" of tying a Bowline. Some knots, such as the Carrick Bend, are generally tied in one form then capsized to obtain a stronger or more stable form.

Sliding[link]

In knots that are meant to grip other objects, failure can be defined as the knot moving relative to the gripped object. While the knot itself does not fail, it ceases to perform the desired function. For instance, a simple Rolling Hitch tied around a railing and pulled parallel to the railing might hold up to a certain tension, then start sliding. Sometimes this problem can be corrected by working-up the knot tighter before subjecting it to load, but usually the problem requires either a knot with more wraps or a rope of different diameter or material.

Releasability[link]

Knots differ in the effort required to untie them after loading. Knots that are very difficult to untie, such as the water knot, are said to "jam". Knots that come untied with less difficulty, such as the Zeppelin bend, are referred to as "non-jamming".

Components[link]

Knot components

A	Turn
B	Round turn
C	Two round turns

[edit] Bight

Any curved section, slack part, or loop between the ends of a rope, string, or yarn

Bitter end[link]

More a ropeworker's term than a knot term, it refers to the end of a rope that is tied off, hence the expression "hanging on to the bitter end".^{[citation needed]} A bitt is a metal block with a crosspin used for tying lines to, found on piers. In fact the bitter end is the end of the anchor "cable" that connects to the anchor bitts in the cable locker under the forecastle or poop using the bitter pin. (British nautical usage). Other uses may be borrowed from this derivation.

Loop[link]

A full circle formed by passing the working end over itself

Elbow[link]

Two crossing points created by an extra twist in a loop

Standing end[link]

The standing end is the longer end of the rope not involved in the knot, often shown as unfinished. It is often (but not always) the end of the rope under load after the knot is complete. For example, when a clove hitch ties a boat to a pier, the end going to the boat is the standing end.

Standing part[link]

Section of line between knot and the standing end (seen above)

[edit] Turn

A turn or single turn is a single pass behind or through an object.

A round turn is the complete encirclement of an object; requires two passes.

Two round turns circles the object twice; requires three passes.

Working end[link]

The active end of a line used in making the knot. May also be called the 'running end', 'live end', or 'tag end'.

Working part[link]

Section of line between knot and the working end

Categories[link]

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Further information: List of knot terminology

The list of knots is extensive, but common properties allow for a useful system of categorization. For example, loop knots share the attribute of having some kind of an anchor point constructed on the standing end (such as a loop or overhand knot) into which the working end is easily hitched to using a round turn. An example of this is the bowline. Constricting knots often rely on friction to cinch down tight on loose bundles; an example is the Miller's knot. Knots may belong to more than one category.

Bend 

A knot uniting two lines (for knots joining two ends of the same line, see binding knots or loops). List of bends.

Binding 

A knot that restricts object(s) by making multiple winds. List of binding knots.

Coil 

Knots used to tie up lines for storage. Another handy coil is here.

Decorative knot 

A complex knot exhibiting repeating patterns often constructed around and enhancing an object. List of decorative knots.

Hitch 

A knot tied to a post, cable, ring, or spar. List of hitch knots.

Lashing 

A knot used to hold (usually) poles together. List of lashing knots.

Loop 

A knot used to create a closed circle in a line. List of loop knots.

Plait (or braid)

A number of lines interwoven in a simple regular pattern. List of plait knots.

Slip (or running) 

A knot tied with a hitch around one of its parts. In contrast, a loop is closed with a bend. While a slip knot can be closed, a loop remains the same size. List of slip knots.

Slipped 

Some knots may be finished by passing a bight rather than the end, for ease of untying. The common shoelace knot is an example, being a reef knot with both ends slipped.

Seizing 

A knot used to hold two lines or two parts of the same line together. List of seizing knots.

Sennit 

A number of lines interwoven in a complex pattern. See also Chain sinnet.

Splice 

A knot formed by interweaving strands of rope rather than whole lines. More time-consuming but usually stronger than simple knots. List of splices.

Stopper 

A knot tied to hold a line through a hole.

Trick 

A knot that is used as part of a magic trick, a joke, or a puzzle. List of trick knots.

Whipping 

A binding knot used to prevent another line from fraying.

Basic useful knots[link]

• Alpine butterfly knot for a secure loop in the middle of a rope when the ends aren't free
• Bowline for tying a loop in the end of a rope, as around one's waist or to secure a ring or grommet. The knot is also used as an anchor knot and is used in many knot systems that are used in mountainous terrain such as a highline or hauling system.
• Constrictor knot for making bundles or cinching the neck of a sack
• Figure-of-eight knot as a stopper
• Monkey's fist used to haul a heavier rope
• Prusik for ascending a rope
• Sheet bend for joining the ends of two ropes, which need not be the same diameter
• Double sheet bend for tying the ends of two dissimilarly sized ropes together
• Spanish bowline Used to hoist crewmen aloft or suspend them over the side
• Square knot, a binding knot for joining the ends of a piece of cordage wrapped around an object or objects
• Versatackle hoist heavy loads and tighten rigging
• Water knot for tying a knot in flat material such as nylon webbing

Hitches[link]

• Buntline hitch for tying a rope to a pole
• Diamond hitch for packing trail animals
• Midshipman's Hitch (also known as a Taut-line Hitch, below)
• Rolling hitch for securing a rope to a pole, or one rope to the middle of another
• Taut-line hitch for forming an adjustable loop that keeps its size under tension
• Timber hitch for securing or hauling long narrow loads
• Trucker's hitch for clinching down a load

Knot theory[link]

A trefoil knot is a mathematical version of an overhand knot.

Knot theory is a branch of topology. It deals with the mathematical analysis of knots, their structure and properties, and with the relationships between different knots. In topology, a knot is a figure consisting of a single loop, abstracted from any physical rope or line, with any number of crossing or "knotted" elements. As such, it has no proper ends, and cannot be undone or untied. Various mathematical techniques are used to classify and distinguish knots. For instance, the Alexander polynomial can be used to distinguish the trefoil knot from the figure-eight knot and the unknot (a simple loop).^{[citation needed]}

See also[link]

• Chinese knotting
• List of decorative knots
• List of knots
• List of knot terminology
• Knot (mathematics)
• Quipu
• Round turn and two half-hitches

References[link]

Footnotes[link]

Notations[link]

• Clifford W. Ashley. The Ashley Book of Knots. Doubleday, New York. ISBN 0-385-04025-3
• Geoffrey Budworth (1999). The Ultimate Encyclopedia of Knots & Ropework. Annes Publishing Limited. ISBN 1-55267-986-1
• John Cassidy (1985). The Klutz Book of Knots. Klutz Press, Palo Alto, California. ISBN 0-932592-10-4
• Cyrus L. Day. Knots & Splices. International Marine/McGraw-Hill Companies. ISBN 0-87742-252-4
• Raoul Graumont. Handbook of Knots. Cornell Maritime Press/Tidewater Publishers. ISBN 0-87033-030-6
• R.S. Lee. All The Knots You Need. Algrove Publishing. ISBN 0-921335-47-4
• Allen Padgett and Bruce Smith. On Rope. National Speleological Society. ISBN 0-9615093-2-5
• Des Pawson (2001). Pocket Guide to Knots & Splices. Produced for Propsero Books by RPC Publishing Ltd., London. ISBN 1-55267-218-2
• Brion Toss. The Complete Rigger's Apprentice. International Marine/McGraw-Hill Companies. ISBN 0-07-064840-9
• J.C. Turner and P. van de Griend (ed.) (1996). History and Science of Knots. World Scientific. ISBN 981-02-2469-9

External links[link]

Wikibooks has a book on the topic of Simplified list of knots

Wikimedia Commons has media related to: Knots

• Knots at the Open Directory Project
• The short film Knots, Bends And Hitches (1973) is available for free download at the Internet Archive [more]
• Over 350 Knot Videos - videos are demonstrating animated knots tying

Miller's may refer to:

• Miller's - UK publishing company established by William Miller
• Miller's, Nevada - a ghost town located in Esmeralda County, Nevada

This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

Mac Miller
Mac Miller performing at the Governor's Ball in 2011.
Background information
Birth name	Malcolm McCormick
Also known as	Easy Mac
Born	(1992-01-19) January 19, 1992 (age 20) Pittsburgh, Pennsylvania
Genres	Hip hop
Occupations	Rapper, producer, actor, songwriter
Years active	2007 – present
Labels	Rostrum Records, Most Dope Entertainment
Associated acts	Wiz Khalifa, Beedie, The Ill Spoken, I.D. Labs, Big Jerm
Website	www.macmillerofficial.com

Malcolm McCormick (born January 19, 1992),^[1] known by his stage name Mac Miller (previously Easy Mac), is an American rapper from Pittsburgh, Pennsylvania. He is signed to Rostrum Records and released his debut album Blue Slide Park on November 8, 2011.^[2]

Early life[link]

Malcolm McCormick was born on January 19, 1992, the son of an architect and a photographer, and raised in the Point Breeze part of Pittsburgh, Pennsylvania.^[1][3] His father is Christian and his mother is Jewish; Miller was raised Jewish and had a Bar Mitzvah.^[4][5][6] Before attending Taylor Allderdice High School, Miller attended Winchester Thurston School.^[7] In high school, Miller decided to focus on his hip-hop career, later noting, "Once I hit 15, I got real serious about it and it changed my life completely ... I used to be into sports, play all the sports, go to all the high school parties. But once I found out hip-hop is almost like a job, that's all I did."^[1] Miller, a self-taught musician, plays piano, guitar, drums, and bass.^[1][8]

Career[link]

Before embarking on a solo career, Miller was part of rap group The Ill Spoken together with fellow Pittsburgh rapper, Beedie. The Ill Spoken released the mixtape How High in 2008. Prior to changing his name to Mac Miller, he was known as EZ Mac and released the mixtape But My Mackin Ain't Easy in 2007 at 15 years old. In 2009 Mac Miller released two mixtapes The Jukebox: Prelude to Class Clown and The High Life before getting signed to Rostrum Records.

In early 2010, Miller signed with Rostrum Records.^[9] Rostrum president Benjy Grinberg met Miller while recording with Wiz Khalifa at ID Labs.^[10] Although Grinberg started giving Miller advice, he didn't show any interest in getting involved with his career until the artist began work on the K.I.D.S. mixtape, when, as he later told HitQuarters, Grinberg "noticed a maturation in his sound and approach to his music."^[10] By that point Miller had started attracting interest from different record companies but chose Rostrum due to its location in his hometown and association with Wiz Khalifia.^[10] K.I.D.S. was released by the label in August 2010.^[1] The mixtape was inspired by the movie Kids. A significant breakthrough came in late 2010 when Miller embarked on his first "Incredibly Dope Tour", selling out at every location on the tour.^[10]

Miller's 5th^[when?] release was a mixtape titled Best Day Ever. The mixtape features his single "Donald Trump" and the hit songs "Wear My Hat", "BDE Bonus" and "All Around The World." The mixtape featured mainstream producers such as Just Blaze, 9th Wonder, and Chuck Inglish. On November 22, 2010 his first single "Knock Knock" premiered its video on YouTube.^[11]

On March 29, 2011, he released an EP called On And On And Beyond. The six-track work was produced by Rostrum Records.

On July 5, 2011, Miller announced the title of his first album Blue Slide Park on his YouTube channel, set for a Fall release.^[12] In September 2011 it was revealed that Miller would release a mixtape titled 92 Til Infinity hosted by DJ Jazzy Jeff prior to the release of Blue Slide Park.^[13] However, the release did not happen, and it was since then left in planning.

Prior to his 2011 national Blue Slide Park tour, Miller traveled Europe on his "Incredibly Dope Tour" visiting cities such as London, Manchester, and Amsterdam.

On October 14, 2011, Mac Miller released a 13 song mixtape called I Love Life, Thank You for reaching 1,000,000 followers on Twitter. It had features from Sir Michael Rocks of The Cool Kids, Talib Kweli, and Bun B.

On November 2011, Blue Slide Park debuted at number 1 on the Billboard 200 with first week sales of 144,000 copies.^[14]

On March 23, 2012, Mac Miller released his seventh mixtape called Macadelic. He released "Loud" as a single off the mixtape as well as filiming a music video. Miller also released a video for "Thoughts From A Balcony".

Awards and honors[link]

In 2009 at age 17, he made it to the final four in Rhyme Calisthenics, the MC competition at Shadow Lounge.^[15] In 2010, he won two awards at the Pittsburgh hip-hop awards.^[16] His video "Live Free" won video of the year and he also won Best Artist Under 21. In September 2011 Maroon 5 announced that Mac Miller will be featured on their remix of their top chart song "Moves Like Jagger".^[17] In 2011 Miller was one of eleven rappers featured in XXL magazine's Freshman Class of 2011.^[18] The video for the first single released from this mixtape, "Donald Trump", has reached over 53 million views on YouTube^[19] and Donald Trump himself, who is referenced on the song, acknowledged the video on the social networking site Twitter when it reached 20 million views stating "Who wouldn't be flattered?". He declared that Miller was the “new Eminem,” and stated “I am very proud of him.”^[20] Endorsements by Donald Trump helped Miller become increasingly more popular. The song also charted on iTunes debuting at #73 and peaking at #40,^[21] before Miller was signed to a major label. In 2011, his first TV appearance took place in the VH1 show Single Ladies; he played a fictionalized version of himself that succeeded in selling one of his mixtapes to one of the main characters. Also in 2011, he was a part of MTV Jams Fab Five artists.^[22]

Musical philosophy[link]

Mac Miller includes Big L, Lauryn Hill, The Beastie Boys, Outkast, and A Tribe Called Quest among his influences.^[8] He also has a close relationship with fellow Pittsburgh rapper Wiz Khalifa, saying "Wiz has been a big brother to me with this music thing so far. Our relationship is beyond music. He really is just my homie, whether I will be making music or not."^[23]

As an artist, Mac Miller has performed in a number of different styles. His classic musical style contains lyrics focused on marijuana, women, and "a dream". However, Miller has lately been experimenting with new styles in his music, such as in his 2012 mixtape Macadelic. Most songs have a heavy psychedelic influence, and include lyrics with deeper meaning. Also, older artists and music performers are praised on some of Mac's new works (the beginning of "Lucy in the Sky with Diamonds" by the Beatles is used as an interlude for the song "Loud").

Discography[link]

Studio albums

• Blue Slide Park (2011)

Extended plays

• On and On and Beyond (2011)

Mixtapes

• But My Mackin' Ain't Easy (2007)
• The Jukebox: Prelude to Class Clown (2009)
• The High Life (2009)
• K.I.D.S. (2010)
• Best Day Ever (2011)
• I Love Life, Thank You (2011)
• Macadelic (2012)

References[link]

External links[link]

• Official Mac Miller Website