1. Wedding Dresses – Wedding Cakes – Wedding Planning – Unique Wedding Ideas Offers a gift registry, bridal gown search, local vendor directory, and wedding etiquette. http://www.theknot.com/

var SERVERIP = '172.25.0.151'; var SOURCE = document.referrer; @import "css/main.css"; @import "css/hp.css"; Wedding Dresses Wedding Planning Wedding Cakes Wedding Vows THE KNOT CHECKLIST BUDGETER GUEST LIST NOTEBOOK Bookmark Make this my homepage MY KNOT PLANNING GOWNS IN YOUR AREA TALK KNOT TV REGISTRY WEDDING SHOP HONEYMOONS THE KNOT MAGAZINE < On newstands now! THE NEST wedding planning Wedding Budget Wedding Flowers Reception Ideas ... Real Honeymoons photos Style Ideas Wedding Colors Wedding Dresses Wedding Hairstyles ... Brown Weddings featured content Real Wedding of the Week Sara and JB in Golden, CO. Ask Carley Q: Must we include the return address on the invites Best Bridesmaid Dresses See 30 new maid dresses straight from the runway. today's hot topics Seating chart or escort cards abstika Favorite wedding traditions A-D When are you taking your veil off? deeperthngravity Eco-friendly centerpieces RondaB Best waterproof mascara See all wedding boards >> in your area popular searches Reception Sites Wedding Florists Cake Bakers Wedding Photographers ... Destination wedding guide DART('180','150','180bottom','2'); from our partners Learn more or apply now Special offers for Cardmembers DART('1','1','partner1','10');

2. Create A Wedding Web Site! Share Engagement, Wedding Plans, Wedding Dress, Engag Tell your wedding story! Build a wedding web site and share your wedding dress, wedding dresses, engagement ring, engagement rings, wedding cake, http://www.theknot.com/pl_main.html

header(window.location.hostname); My Checklist My Budget My Guestlist My Notebook Investor Relations MY KNOT PLANNING GOWNS IN YOUR AREA COMMUNITY TV REGISTRY WEDDING SHOP HONEYMOONS THE NEST MY COMMUNITY CHECKLIST BUDGETER GUEST LIST NOTEBOOK WEB PAGE SAVE THE DATE PHOTO ALBUM SHOPPING LIST Welcome to My Knot! This will be the nerve center of your wedding planning on The Knot! Log In Join Free Enter your wedding date to get a week-by-week wedding to-do list. January February March April May June July August September October November December NEW! Fashion videos on The Knot TV Watch the videos > Find wedding gowns bridesmaids dresses accessories and more! My Profile Create a Community Profile My Blog Start a Wedding Blog See Knot Blogs My Photos Upload Engagement Pics See Community Wedding Photos Before you drop a dime, we'll tell you what to spend where and keep track of payments and due dates. Stay on top of your guest list, invitations, RSVPs, thank you notes and more. Share the details with a wedding web page - choose from over 40 designs, tell your story and add a photo. Now that you've set the date make sure it's on your guests' calendar by sending a save-the-date email Find Gowns Find Tuxedos Find Accessories ... See My Local Page Looking for a reception site, florist, or band?

3. Knot (speed) - Wikipedia, The Free Encyclopedia 3 4 The abbreviation kt is also in widespread use, sometimes with kts for the plural (knots). It is a nonSI unit accepted for use with the SI. http://en.wikipedia.org/wiki/Knot_(speed)

Knot (speed) From Wikipedia, the free encyclopedia Jump to: navigation search "Knots" redirects here. For other uses, see Knot (disambiguation) Knot is a unit of speed, equal to one nautical mile per hour. The abbreviation preferred by maritime authorities in the USA , and Canada , as well as the Institute of Electrical and Electronics Engineers and the International Bureau of Weights and Measures is kn The abbreviation kt is also in widespread use, sometimes with kts for the plural (knots). It is a non- SI unit accepted for use with the SI It is used around the world in meteorology and for maritime and aviation purposes. A vessel traveling at 1 knot along a meridian , covers one sixtieth of a degree geographic latitude in one hour. The term knot was first used by mariners who measured how many knots on the line payed out in a given time period when the chip log was deployed. Contents Definition Origin Modern use Aeronautical terms ... edit Definition nautical mile per hour kilometres per hour exactly, or (approximately) 1 international knot = 1.1507794 miles per hour = 0.51444444 meters per second. This is based on the internationally agreed length of the nautical mile. The international definition was adopted by the US in 1954 (which previously used the US nautical mile of 1853.248 m).

4. Animated Knots By Grog Animated knotTying for Boating, Climbing, Fishing, Scouting, Search and Rescue, and Arborists. http://www.animatedknots.com/

Knots Home Page The Knot List Terminology Essential Knots ... Purchase Animated Knots by Grog TIE KNOTS THE FUN AND EASY WAY Better to know a knot and not need it, than need a knot and not know it. Same Author: Acid-Base Magic Squares Stereo Art Animated Knots on Your Computer Purchase your copy now. Find the Knot You Need Each section indexed at the top is devoted to the knots usually needed in that environment. Select the section that you need from the index above or from the pictures below. Alternatively, select an individual knot on the Knot List page. Boating Climbing Fishing Scouting ... Rope Care Safety: Rope, and the sports associated with rope, can be dangerous. Wrongly handled, gripped, or tied, rope can kill, maim, or burn. You could be the victim! So, handle rope with care, inspect and test any knot you tie, and respect any rope subject to a heavy load, e.g., a rope controlling a large sail, a mooring rope when you are docking or berthing, and especially your own climbing rope. Never try to control a heavily loaded rope or fishing line with your bare hands. Control rope by taking two or more turns round a winch, cleat, or post, and use appropriate equipment for fishing line. It is unfortunate, but true, that the danger associated with heavily loaded rope or fishing line is commonly learned by experience, which is often very painful and could be lethal. Knots Weaken Rope They do! A great deal is written about which knots weaken a rope most. An angle, a kink, or a knot, stresses the fibers unevenly and weakens the rope. If this concerns you, you are using rope that's too thin. Although some knots in some ropes are claimed to only weaken a rope to about 80% of its rated strength, other knots weaken a rope to about 50%. It is therefore simpler, and certainly safer, to assume that even brand new rope will perform at no more than 50% of its rated breaking strength. And, if the rope is old, worn, or damaged by sunlight or chemicals - expect considerably less. For some useful test results visit Dave Richards'

5. Real Knots: Knotting, Bends, Hitches And Knotcraft. How to tie knots in rope. knotting instructions for scouts, climbers and sailors fisherman outdoor and survival sporters. Clear knot descriptions and http://www.realknots.com/knots/

knot knots knotting tie tying rope yarn hitch hitches bend scout sail climb marlinespike home Ropers Knots Page ) The knot site on real knots in rope. home What are the recent changes of the Roper Site 070514 Added google adds Want to advertise on this page? Enter your search terms Submit search form Web www.realknots.com Knot Index A B C D ... Z Instruction Pages Stoppers Terminal Knots, Overhand-knot, (Flemish)eight and more bends To bend two lines together. Reef-Knot, Sheet-Bend, Carrick-Bend, True-Lover's, and more Hitches To tie on an object. Timber Hitch, Constrictor, The Eight, and more.. Single Loops Bowline, Bowstring, and more... The Noose The running bowline, hangman, and more.. Frequently Asked Knots. The monkey fist, Dolly (trucker-hitch). Breast plates. Some Fancy work Links to other knot sites .At the base of realknots Books on Knots on the Web Ashley, Klutz and more Links to pages with links to Roper's pages . For finding people with the same interests.. Want to advertise on this page? News in the knotting world The newsgroup rec.crafts.knots

6. Knots Gallery A gallery of animated rope knots and bends. clifford ashley is source of information for tying knots of many types. http://www.tollesburysc.co.uk/Knots/Knots_gallery.htm

About the Club The Committee Visitor Tours Local Sailing ... Home Page Knots PAGE CONTENTS Lots of knots Click the pictures below to see how to tie the knots T his page is dedicated to the art of tying knots. Most of them are quite commonly used aboard or related to the sea - fishing and that sort of thing. All the knots are animated and hence move by themselves, showing you how they are constructed. If more information is required on these knots, The Ashley Book of Knots by Clifford Ashley is a great source of information. Just click on the pictures to begin Bowline - loop knot Double loop bowline Angler's loop The Angler's knot Sailor's knot Figure of Eight stopper Clove Hitch Another way to tie a Clove Hitch Rolling Hitch Sheet Bend Sheepshank Making fast to a cleat Reef Anchor Hitch Splice Eye Splice Tie - Common Tie - Windsor Top of Page Home Contact the Webmaster Search this Website This material has been reproduced by permission of the Controller of her Majesty's Stationery Office and Uk Hydrographic Office www.ukho.gov.uk

7. Unique Wedding Favors - Unique Personalized Wedding Favors - Unique Wedding Favo The knot offers unique wedding favors that can make your special day unique and fantastic. Find a wide variety of unique personalized wedding favors online http://weddingshop.theknot.com/

My Checklist My Budget My Guestlist My Notebook Log In Join Free Investor Relations MY KNOT PLANNING GOWNS IN YOUR AREA TALK TV REGISTRY THE NEST Reception Wedding Cameras, Decorations, Place Card Holders, ... CLEARANCE Order toll-free (800) 390-9784 items Cameras Candy Place Card Holders ... LOVE Glass Coaster Gift Set Favors $2.95 set of 4 Pink Flask $24.95 each $9.99 each Silk Jewelry Roll $25.00 each Silver-plated Frame - 4x6 $14.95 each Sandalwood Fan $1.95 each $1.49 each Mini Hershey's Chocolate Bars - Beach $49.95 100 pack $39.99 100 pack Mini Hershey's Chocolate Bars - Double Happiness $49.95 100 pack $39.99 100 pack Chrome-plated Beverage Holder $15.95 each $9.99 each Discount Coupons do not apply to American Express Gift Cards, PhotoWorks development fee, PhotoWorks photo gifts and cards, Zazzle stamps or digital items including frames, key chains and camcorders. Home My Knot Wedding Gowns Local Wedding Resources ... Investor Relations (NASDAQ: KNOT) OUR SIBLING SITES: TheNest.com

8. Knot -- From Wolfram MathWorld In mathematics, a knot is defined as a closed, nonself-intersecting curve that is embedded in three dimensions and cannot be untangled to produce a simple http://mathworld.wolfram.com/Knot.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Knot In mathematics, a knot is defined as a closed , non-self- intersecting curve that is embedded in three dimensions and cannot be untangled to produce a simple loop (i.e., the unknot ). While in common usage, knots can be tied in string and rope such that one or more strands are left open on either side of the knot, the mathematical theory of knots terms an object of this type a " braid " rather than a knot. To a mathematician, an object is a knot only if its free ends are attached in some way so that the resulting structure consists of a single looped strand. A knot can be generalized to a link , which is simply a knotted collection of one or more closed strands. The study of knots and their properties is known as knot theory Knot theory was given its first impetus when Lord Kelvin proposed a theory that atoms were vortex loops, with different chemical elements consisting of different knotted configurations (Thompson 1867). P. G. Tait then cataloged possible knots by trial and error. Much progress has been made in the intervening years. Schubert (1949) showed that every knot can be uniquely decomposed (up to the order in which the decomposition is performed) as a knot sum of a class of knots known as prime knots , which cannot themselves be further decomposed (Livingston 1993, p. 5; Adams 1994, pp. 8-9). Knots that can be so decomposed are then known as

9. Flaming Pear:Products:Knot knot lets you create large 3D color animations and stills of beautiful abstract knots. You design the knot s form, colors, motion, backgrounds and lighting http://www.flamingpear.com/knot.html

Twisted 3-D abstractions! Make stills, movies, VR objects, stereograms, and now 32-bit icons. Knot lets you create large 3-D color animations and stills of beautiful abstract knots. You design the knot's form, colors, motion, backgrounds and lighting - or design and render entire animations automatically. It's an endless source of gorgeous moving backgrounds and photocollage elements for your work. With version 3.8 of Knot you can now make 32-bit icons for Mac OS 8.5 and Mac OS 9. From a single design you can make TIFF images, stereograms, seamlessly repeating tiles QTVR objects , and QuickTime movies with one click. Dive right into the abstract modelling options including curved strands, straight segments, spheres, glowing objects and ribbons. Or use the Magic Knot screen to conjure a whole movie from scratch. Knot graphics in the gallery a Knot planet Free 3D glasses "Design fantastic, beautiful images on your Mac with this easy to use graphics program. With a wealth of options to stretch your artistic talent, the program produces its wonderful creations in just minutes." -MacFormat "The interface is beautiful, worth the shareware fee in and of itself. It inspires you to create truly magnificent knots much the way Kai's Power Tools inspires Photoshop users to explore the unexpected."

10. The Knot Web Site The knot has been at the forefront of improvisational rock and roll for over 20 years in the New England area. http://www.knotbuzz.com/

The Massachusetts based jam band (formerly known as Slipknot). The Knot has been at the forefront of improvisational rock and roll for many years. Our marathon sets of 90 minutes or more are packed with a variety of musical styles and extended jams. We enjoy playing creative, high energy music that is sure to keep you dancing. We mix original compositions with the music of classic artists like The Grateful Dead, The Allman Brothers, Eric Clapton, The Band, Traffic, Little Feat, and many others.

11. Knots On The Web (Peter Suber) The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, knot discussion forums, http://www.earlham.edu/~peters/knotlink.htm

Knots on the Web Artwork credits Unfortunately I'm much too busy with real, paying work nowadays to update Knots on the Web as often as I used to. Consequently, it has far too many dead links and omits far too many good, new sites. I wish I could say that this will change soon, but it won't. Until it does, please use what is still useful here and forgive the weak spots. If you have a specific knot need or question, and the surviving links here don't help you with it, then try posting your question to rec.crafts.knots or running a search on Google Welcome to my collection of knotting resources. My major sections are on Knot Tying Knot Theory , and Knot Art . But knot lovers will understand that these distinctions are artificial. For example, a good practical knot is both a nugget of hard-won technology and a thing of beauty. Decorative knotting can be useful, and in any case requires uncommon dexterity and practical tying ability. Software developed to help mathematical knot theorists has produced some of the most beautiful knot images ever seen. So look at all three sections even if you think your interests are narrow. You might become happily entangled. My fourth section is on Knot Discussion . Use these discussion forums to find answers to your knotting questions and to help others who know less than you do. My fifth section is on Knot Software . You'll be surprised at how knotting software can make it easier for you to learn to tie knots, to explore the mathematical properties of knots, and to create stunning images of knots, including knots never seen on Earth.

12. Knot Knowledge knot Knowledge presents photographs of the steps involved in tying knots, including hitches, bends, loop knots, and friction hitches. http://www.iland.net/~jbritton/

K NOT K NOWLEDGE P HOTO- I LLUSTRATIONS Twenty-three practical knots are presented with photographs of the steps involved in tying each knot. Every step is also described in text. Knot Knowledge provides in its lexicon definitions of the few knot tying terms used in the text descriptions. NOTE: Do not use friction hitches for climbing unless properly trained. Clicking on a category shows all the knots within that category on one page. Clicking on the name of a knot shows just that knot. Single Loop Knots Page Bowline Figure 8 Loop In Line Figure 8 Loop ... Sliding Sheet Bend (aka Mooring Hitch) Links: If you didn't find the knot you wanted on Knot Knowledge, try Peter Suber's Knots on the Web . It's a comprehensive index of knot-related web sites, though some links may be dead. Roper's Knot Page is Ed Prins' knot-related website index, which also has an instruction section Want to tie a rope halter for your horse? The Fiador (aka Theodore) knot can be found on the Gaited Horses website. The trucker's hitch (from Net Knots) is a knot system used to create mechanical advantage to put tension on a rope. It is very useful for tying down loads to a vehicle's roof, for example. The

13. Knot - Definition From The Merriam-Webster Online Dictionary Definition of knot from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/dictionary/knot

Home Visit Our Sites Unabridged Dictionary Learner's Dictionary ... Contact Us Also Visit: Unabridged Encyclopedia Britannica Visual ESL: Learner's for Kids: Spell It! Word Central Dictionary Thesaurus Spanish/English Medical Search "knot" in: Thesaurus Spanish/English Medical Dictionary Open Dictionary Browse words next to: knot Browse the Dictionary: A B C D ... Z knot Entries 1 to 10 of 25. knot[1,noun] knot[2,verb] knot[3,noun] Gordian knot granny knot half-knot knot garden knot theory love knot overhand knot Main Entry: knot Pronunciation: Function: noun Etymology: Middle English, from Old English cnotta; akin to Old High German knoto knot Date: before 12th century 1 a  an interlacement of the parts of one or more flexible bodies forming a lump or knob (as for fastening or tying together) b  the lump or knob so formed c  a tight constriction or the sense of constriction knot s  something hard to solve problem knot s  a bond of union especially  the marriage bond 4 a  a protuberant lump or swelling in tissue knot b  the base of a woody branch enclosed in the stem from which it arises also  its section in lumber  a cluster of persons or things group  an ornamental bow of ribbon cockade 7 a  a division of the log's line serving to measure a ship's speed b  one nautical mile per hour  a closed curve in three-dimensional space [knot illustration] Learn more about "knot" and related topics at Britannica.com

14. Knot Added 12/14/97 This knot is a sort of compromise between the Double Harness Bend Ashley 1421 and the Barrel knot Ashley 1413, though I find it easier http://library.wustl.edu/~manynote/knot.html

Knot Yes, I know that some of the graphics on this page are broken. Restoring them from backup will be something of a hassle and, frankly, is not that high on my list of priorities, so don't count on it getting fixed very soon. pH Bends [Added 12/14/97] This knot is a sort of compromise between the Double Harness Bend [Ashley 1421] and the Barrel Knot [Ashley 1413], though I find it easier to untie than either. Others may disagree, however. I developed it mainly to satisfy my (perhaps irrational) preference for what Ashley calls "cruciform" bends, bends from which the bitter ends emerge at opposing right angles. [Added 12/22/97] Although the first graphic above gives a (slightly) better idea of the shape of the knot, it can actually be drawn with fewer crossings (10 vs. 12) as in the second illustration. [Added 3/13/98] This version, although it has even more crossings (14), gives a very good idea of the final shape of the knot, and of its attractive appearance. [Added 12/30/97] To point out some other relatives of this knot: it bears a certain resemblance to the Surgeon's Knot [Ashley 1209], but the knot it actually resembles most closely is Ashley 1450, which Ashley developed as a hawser bend; the above is essentially a symmetrical version of that knot. [Added 1/13/98] Though I realize that it may turn out that this knot is not original to me, in the meantime, to have a more convenient method of referring to it I tentatively dub it the "Basketweave Bend", because of the appearance of the back face of the knot. It, too, can be tied (in loop form) to a ring without first knotting the rope (see below). Perhaps I'll add a graphic showing the method for that.

15. CyLog Software - Www.cylog.org knot has been designed and written from scratch and uses our latest The current release of knot uses a much broadly used internet protocol, SMTP, http://www.cylog.org/utils_2.asp

ToolBox 3D Dissolve KNot Wild Rename ... CyberShredder Donations CyLog Software is a non-commercial software house committed to providing you with high-quality free software. To show your appreciation and support the future development of our products, you can make a donation through our secure PayPal link. Give whatever you think we deserve. As a guide, a donation of £5 (GBP) or $10 (USD) will ensure our administrative costs are covered. KNot v2.04b - Public Preview Beta KNot (pronounced "knot") is the new installment of our popular floating-note application, which was removed two years ago from our site due to legal implications with its name. "Akatanomasto" (the "one that cannot be named" in Greek) had several bugs, was written in an old version of Delphi and we decided to drop it all together since maintaining it would be far worse burden. KNot has been designed and written from scratch and uses our latest technologies in terms of graphics and file handling. The first version of KNot ("Akatanomasto") released in 1999, was one of the first applications ever to use a TCP/IP network to send instant messages to other computers. Long before the messaging clients of today. That version used TCP sockets and a very basic bespoke protocol for its networking. The current release of

16. Knot.magazine knotMag features the best of today s young writers. It s fresh, clean, and always damn interesting. Instead of staying on the surface with flashin-the-pan http://www.knotmag.com/

Go Home KnotCrap - Buy Stuff KnotFeed RSS E-Mail KnotMag ... Submit Join our e-mail list Jennie Dorris Finding Home KnotMag Says Goodbye I seem to have misplaced my speech. Read on Mike’s Graduation Michael Corey KnotMag's Great Eight - Instead, I stand before you today only in literary metaphor. It is 2004, and I am an online columnist for Knotmag.com. I wanted to speak to you today because I never got to give a graduation speech, even though Mrs. Bissell, our 12-grade English teacher thought I would be good at it. Read on Home is where you might get eaten Michael Corey Finding Home - My home is the small plot of wilderness in Minnesota, which mostly consists of 6 inches of topsoil resting on solid rock. Low-lying areas are constantly muddy, and trees planted in rigid rows replace logged-out areas that border the land to the north. In addition, you may have heard that Minnesota has a mosquito problem; the wise always carry head netting. My home is not perfect, but it's wild. Read on Renting Religion Giordana Segneri KnotMag's Great Eight - But this tiny, empty, one-room space going for a hefty 480 euro (about $580) while outfitted with next to nothing comes equipped with an altar, for all my at-home supplication needs.

17. 42nd Brighton (Saltdean) Scout Group, UK Do not copy these animated knots pages and text and publish them on the If you find that you cannot see the animated knot when you select one of the http://www.42brghtn.mistral.co.uk/knots/42ktmenu.html

42nd BRIGHTON (Saltdean) Scout Group, East Sussex, UK Get Knotted! Animated Knots for Scouts You are visitor No: to look at our knots. (Add 530,000 for counter resets) Knot Size (Kb) Thumbnail Bowline Clove Hitch Figure of Eight knot, Flemish knot, Savoy knot Fisherman's knot, Angler's knot, English knot, Englishman's bend, Halibut knot, True Lover's bend, Waterman's knot ... Provide a link Please Note Do not copy these animated knots pages and text and publish them on the Internet or elsewhere. If you want to put animated knots on your website then please draw your own. Some readers of these pages have had problems viewing the knot animations because their browsers do not support the required standards. If you find that you cannot see the animated knot when you select one of the above, then you will need to upgrade your browser. Download Internet Explorer Knot Welcome page Troop Home Page Ovingdean Saltdean Rottingdean Telscombe Cliffs Peacehaven Newhaven PC Computer Repair, Training and Virus Help

18. SourceForge.net Gordian Knot The world s largest development and download repository of Open Source code and applications. http://gordianknot.sourceforge.net/

19. Fishing Knots Illustrations of all the most popular fishing knots. knot books and knot cards are also available. http://www.netknots.com/html/fishing_knots.html

Email FISHING KNOT BASICS 1. Choose the right fishing knot and tie it correctly. 2. Lubricate knots with water or saliva before drawing tight. 3. Draw knots as tight as possible. 4. Trim tag ends close to the knot. 5. Fish often! 6. Take a kid fishing! Click icon for Quick View: Knot pics courtesy of Ultimate Knot Guide 10 best fishing knots printed on waterproof plastic cards + 12" ruler! Get them here! All The Best Fishing Knots! Albright Special Arbor Knot Blood Knot Double Uni (Line to Line Uni) Dropper Loop Egg Loop Improved Clinch Nail Knot Non Slip Loop Knot Offshore Swivel Knot Palomar Knot Perfection Loop Rapala Knot San Diego Jam Knot Snell Knot Trilene Knot Uni Knot Hook Removal - Ouch! Seaguar Knot Baja Knot Eye Crosser Knot Slim Beauty Knot Bimini Twist Get your own free Knot of the Day Widget! You can add this widget on your website by simply copy/pasting this code inside your page: Attention Bass Fishermen! Check out the best hook organizers ever invented! Hook-It Check out our great Book Section Home ] [Fishing Knots] [ Outdoor Knots Boating Knots Paddling Knots Knot Cards ... Affiliate

20. Knot Theory Every one knows from experience how to create a knot. We do this all the time, often unwittingly. knots whose ends were glued together and their http://www.cut-the-knot.org/do_you_know/knots.shtml

var MyPageLoc = document.location; var MyPageTitle = document.title; G o o g ... e Web CTK Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Knots... Every one knows from experience how to create a knot. We do this all the time, often unwittingly. Knots whose ends were glued together and their classification form the subject of a branch of Topology known as the Knot Theory. On the left there is a picture of the Left Trefoil knot. On the right there is the Right Trefoil knot. It's impossible to continuously (i.e. stretching and twisting but without causing damage to either of them) deform one into another. However, it must be noted that the two knots are topologically equivalent in the sense that there exists a topological transformation that maps one into another. The knots are mirror reflections of each other. In the real world, it can be argued that mirror reflections are only mental images whose existence is entirely different from that of the objects whose reflections they are. In Mathematics, reflections are as real as the objects themselves. Mathematically, reflections are topological transformations that could not be carried out on the real world objects. But

Page 1     1-20 of 83    1  | 2  | 3  | 4  | 5  | Next 20