# Goals: This worksheet is designed to help the student understand hyperbolic

Save this PDF as:

Size: px
Start display at page:

Download "Goals: This worksheet is designed to help the student understand hyperbolic"

## Transcription

1 Goals: This worksheet is designed to help the student understand hyperbolic spaces as well as help the student understand mathematical models. In this worksheet, the student will prepare, via crocheting, a model of hyperbolic space. Listed below, in specific detail are the goals of this worksheet: 1. To understand hyperbolic space. 2. To understand the importance of mathematical models. 3. To learn to crochet. There is no assumed background for this worksheet. Rather, this exercise is oriented to those students who have studied and also have an understanding for hyperbolic geometry. Generally however, these topics are covered at the collegiate level. Materials: There are only a couple materials needed for this exercise. These materials include: 1. A spindle of yarn. 2. A crochet needle (one).

2 2 Hyperbolic Visualization Introduction Hyperbolic space is a boundless infinite space with constant negative curvature in which any slice is a hyperbolic plane. The hyperbolic plane can be visualized in Euclidean space as a wavy sheet (as captured in the diagram to the right). If you were in this space, it would seem more confined than Euclidean space, because all of space would seem to be within a finite sphere. This misapprehension is caused by your vision, which is accustomed to Euclidean space and mistakes distances in hyperbolic space. This happens because the light from a distant object would enter your eyes at different angles. Furthermore, in hyperbolic geometry, lines, points, distance and motion all behave differently than their corresponding Euclidean counterparts. Therefore, we need models and graphs to ascertain universes such as hyperbolic space. There are several models, which we could construct (the Poincare Disk, the Klein-Beltrami model, the Upper Half Plane, and Minkowski s model) to model hyperbolic geometry. However, we are going to concentrate on a crocheted model of the hyperbolic plane. The act of constructing the surface will give you a feel for hyperbolic geometry that is difficult to get any other way. In the next section of this worksheet, not only will you learn to crochet, but also you will construct, by means of crocheting, a model of the hyperbolic plane!

3 3 How to Crochet 1. The first step to crocheting is how to hold the hook: Hold the hook between your thumb and index finger, like a pencil (fig. 1). Hold the hook in an overhand manner, like a knife (fig. 2). 2. The next step to crocheting is to make the initial slip knot: Make a pretzel shape with the yarn (fig. 3). Slide the hook through the pretzel (fig. 4). Pull on both ends of the yarn to tighten and adjust the size of the knot 3. Holding the yarn: Yarn is to be held any way that is comfortable for you.

4 4 4. Making the chain: After making the slipknot, insert the hook, wrap the yarn around, hook, and pull back through the loop of the slipknot (fig. 5, 6)., Repeat the process as many times as you need chains (approximately 20 for this exercise). 5. Close off chain: Insert the hook into the first loop of the chain, and into the last loop in the chain, forming a circle (fig. 7). Yarn over the hook, and bring the yarn back through the chain, this is also your first slipstitch. (fig. 8). Now that you have created a chain, it is time to fill in the chain with stitches. The special way in which we crochet now will lead us to our anticipated hyperbolic model. The next set of instructions have accompanying figures which follow the current order and are also listed on the last page with the previous figures.

5 5 Crocheting the model 1. Stitching each row: For the first stitch in each row, insert the hook into the second chain from the hook. Take yarn over the hook and pull back through the chain (be sure to leave two loops on the hook). Take the yarn over, again, and pull through both loops (fig. 9). 2. Stitching each row (continued): For however many rows your creation is going to be, continue as before, but insert the hook into the next chain as oppose to the second chain. Proceed as before except insert the hook into the last stitch to continue the row. Repeat until you reach the end of the row. 3. At the end of the row: Before going to the next row, you must also complete a chain stitch. 4. Closing off the creation: Stop crocheting when you reach the last two loops. Cut the yarn leaving approximately four inches. Pull the yarn through the last two loops and tighten gently to prevent unraveling.

6 6 Finally, you will weave in the left over yarn. To do this, you will need a sewing needle. Thread the needle with the yarn and weave it in and out of the newly created object, until the loose end is no longer visible. Then, tighten the area where the loose thread was threaded into, to prevent it from unraveling. Once you have completed this step, your hyperbolic model should appear as below. Utilization of the model: In order to further understand hyperbolic geometry there are several experiments one can conduct. For example, fold the model as in the picture below. The line created by folding the model is where a straight line would lie on a hyperbolic plane. To us however, it appears a semicircle shape has been formed. To better understand this, imagine holding a bowl over your head,

7 7 looking up at the bottom. If the bowl goes on infinitely then a straight line will obtain curvature, and appear semicircular. Another Example involves Euclid s fifth postulate which states, Given a line I and a point P, not on the line I, there is exactly one line through P that is parallel to I. This postulate holds in Euclidean geometry. However, in hyperbolic geometry there is more than one line through P that is parallel to l, as shown below. This model causes Playfair s postulate not to hold in hyperbolic geometry.

8 8 In conclusion of this worksheet, it is a good idea to understand the topics covered thus far. Now that we know what the model helps us do, let s answer some questions about hyperbolic space: 1. What is Hyperbolic Space? 2. If we were in hyperbolic space, why would we feel more confined than in our normal world, where we are accustomed to Euclidean space?

9 9 References: 1. This website contained the instructions for how to construct a hyperbolic model via crochet This website has the directions for crocheting 3. This website contains information about hyperbolic space

### Beginning To Knit. Casting On - Double Cast On Method

Beginning To Knit This Lesson is reprinted by permission of TNNA and contains portions of the How to Knit book published by The National NeedleArts Association (www. TNNA.org). Find full details for the

### Knitting & Crocheting Instructions

Knitting & Crocheting Instructions Included materials: 300 yards of Yarn in 6 colors 2 Knitting Needles 1 Crochet Needle 1 Plastic Yarn Needle Congratulations! You are about to begin an exciting journey

### Holding the yarn and hook

Learn To Crochet These instructions will guide you in crochet so that you can make a crochet atom for The Perovskite Project. The instructions were provided by http://www.redheart.com and by June Gilbank

### Lovely Lace Vest LC2536

AUNT LYDIA S Iced Bamboo, Size 3 : 9 (12, 15, 18) balls 3585 Lilac Ice. Crochet Hooks: 3.25mm [US D-3], 3.75mm [US F-5], 5mm [US H-8]. Note: For size Small and Large, 3.25mm and 3.75mm hooks are needed.

### BASIC TOE UP SOCKS USING MAGIC LOOP. COMMENTS I will speak of needles this means the two tips never will you be using two circulars at once.

BASIC TOE UP SOCKS USING MAGIC LOOP. COMMENTS I will speak of needles this means the two tips never will you be using two circulars at once. ABBREVIATIONS. K M1 knit make 1 (pick up loop between the worked

### (2) Pull a loop through the circle. (3) Insert the needle into the loop.

Learn to Knit These instructions will get you started in making a knitted polyhedron shape for the Perovskite project. The instructions and diagrams are from www.redheart.com so if you need additional

### Toes Up Tabi Sock Pattern By Judith Helms and Wayne Damron 2011

Toes Up Tabi Sock Pattern By Judith Helms and Wayne Damron 2011 This Toe-Up Tabi Sock pattern utilizes my Slipper Toe Cap for shaping the big toe, as well as the four toe section of this Tabi sock. Once

### Crochet Cradle Purse Designed by Clare Sullivan

Crochet Cradle Purse Designed by Clare Sullivan Video Tutorial - http://www.youtube.com/watch?v=gwb6ztw352o Main color approx 50 gm s, alternating color approx 25 gm s 4.00 mm / G hook Or 8 ply/dk/sports

, 2006 Materials Needed: DMC Perlé Coton, Size 8 (1 ball) Size 11 seed beads, preferably on a hank (approx 1,900 or 6 strands of a 12-strand hank) Size 000 or 0000 steel knitting needles or 24 circular

### Crochet Cache Free Pattern - Beer Can Hat BEER CAN HATS CURVED EDGE HAT

BEER CAN HATS These can hats are from a pattern from the 1960's. The pictures are not as clear as I would like, but the pattern has faded over the years. Soda cans work very well for these hats also. CURVED

### Introduction. A couple of definitions:- Splicing Dyneema is simple providing you take it a step at a time.

Introduction Splicing Dyneema is simple providing you take it a step at a time. All the tools you need are shown in the picture above. Working from the top we have a sharp pair of scissors or you can use

### Shark Mittens. Annette Hynes. August 22, 2010

Shark Mittens Annette Hynes August 22, 2010 These mittens were designed for my spunky nephew William on his 4th birthday I decided to use Tunisian crochet because I like the look of the fabric The front

### Indoor Snowball Fight

SECTION 1 Indoor Snowball Fight A gift for kids of all ages...10 snowballs in a snowman gift bag. Pattern note: The difficulty level is intermediate because of the yarn used. With the Pipsqueak yarn, we

### Cast On: Placing a foundation row of stitches upon the needle in order to begin knitting.

l Cast On l Increase l Decrease l Bind Off l Wrap and Turn l Wrap and Wrapped Stitch Together l Crossed Puff Stitch l Stockinette stitch: Knit RS rows and purl WS rows. If working in round, knit all rounds.

### Cascade Lana Grande Le Slouch Bag

B184 Cascade Lana Grande Le Slouch Bag Designed By Lisa Whiting Le Slouch Bag Designed by Lisa Whiting Size One size 24 by 36 Materials 7 balls of Cascade Lana Grande 100% Peruvian Highland wool, 87 yards

### Basic Crochet Stitches

Crochet HOW TO Karen Costello Soltys CASTING ON Basic Crochet Stitches Hold like a knife Holding hook 2Put the loop on your hook and pull both yarn ends (tail end and working yarn) to make the slipknot

### KNIT MITTENS PATTERN CHART (for Kids and Teens) Knit on 2 needles with the thumbs on the sides (Provided to Knitting4Peace by Carrie Epps)

KNIT MITTENS PATTERN CHART (for Kids and Teens) Knit on 2 needles with the thumbs on the sides (Provided to Knitting4Peace by Carrie Epps) SIZES: (It may be helpful to highlight the size mitten you are

### Making a Drop Spindle and Making Yarn Using your Drop Spindle

Making a Drop Spindle and Making Yarn Using your Drop Spindle Dowel Supplies Bands Dowel: close-up of notch carved with a swiss army knife. CDs Leader Yarn Use one or two CDs. (Two give greater weight

### Cascade 220 Monster. Designed by Linda Medina

Cascade 220 Monster Designed by Linda Medina Page 1 of 4 Medina Originals Monster Materials: Cascade Yarns Cascade 220 (100% Peruvian Highland Wool) 1 skein each: MC - color 8906 (Blue Topaz) CC1 - color

Black Diamond Deep V Necklace Right Angle Weave What you will need for an 18 in necklace: I have put in parenthesis how I will refer to the beads throughout the tutorial. -160 of 4 MM bi-cone crystal or

### USER S MANUAL. Thank you for buying a Wide Body Boomerang Bead Loom. We re sure you re going to love working with this professional quality loom.

USER S MANUAL Thank you for buying a Wide Body Boomerang Bead Loom We re sure you re going to love working with this professional quality loom. It s quite easy to set up and use. You ll be started on your

Adult Jacob s Ladder Hat (Notes at end of pattern to make a smaller size) Designed by Clare Sullivan from bobwilson123 Video tutorial http://www.youtube.com/watch?v=ydr6bugmbxi Materials 100 gms / 3 ounce

### KNITTING WONDERFUL SUMMER PANAMA HATS FOR GIRLS- Tuesday, 14 May :57+ To quote pad

KNITTING WONDERFUL SUMMER PANAMA HATS FOR GIRLS- Tuesday, 14 May 2013 00:57+ To quote pad We will need: yarn - YarnArt Begonia 169m / 50g (amount by itself a hat - 1 roll); Cotton Yarn Size 3 Hooks - 1.2

### Sewing Methods Chicago Style Stitch

Chicago Style Stitch 1 2 3 4 TWO STRANDS OF CORD PULL ALL STITCHES TIGHT STARTING STITCH FIRST STITCH SECOND STITCH VERTICAL FLAT CABLES COMPLETED KNOT A B C D NOTE 6 NOTE 7 GROUPED OR SMALL CABLES 1.

### Patterns and Projects

Patterns and Projects If you have a baby hat pattern you like better, feel free to use it. All hats should meet the following specifications. When the hat is laid flat, the bottom should measure 5" to

### Loom Knitting. Getting Started on the Round Loom

Loom Knitting Getting Started on the Round Loom By Anne Bipes For additional loom knitting instructional materials and patterns, please visit us at www.loomknitting.com Loom Knitting Getting Started on

W571 Eco Duo Alpaca Designed by Ashley Andrews Eco Duo Alpaca Designed by Ashley Andrews Skill Level: Yarn: Intermediate Cascade Yarns Eco Duo #1707 (Latte) - 122 yds Cascade Yarns Pure Alpaca #3033 (White)

### Queen Amidala Invasion Dress Pattern

Queen Amidala Invasion Dress Pattern By: Pilbeam www.defectivegeeks.com Queen Amidala Invasion Dress Page 1 of 7 Supplies 4.0 mm hook Brown yarn [suggested Sirdar Country Style DK SH530] Red yarn [suggested

### Thread needle, tie knot, and sew basic hand stitches used in repairing clothes. Sew on different types of buttons.

Teacher's Guide Hand Stitching Goals: Thread needle, tie knot, and sew basic hand stitches used in repairing clothes. Sew on different types of buttons. Lesson Outline: 1. Worksheet: Hand Stitches. Create

### How to Knit Basic Socks for Charity by Mary Henze/LaylaKnits for AT&T Fiber to the World Yarn Club 1 and Wool-Aid 2

How to Knit Basic Socks for Charity by Mary Henze/LaylaKnits for AT&T Fiber to the World Yarn Club 1 and Wool-Aid 2 A detailed plain English guide for new knitters. This pattern describes how to make a

### Making a Vintage Base Ball

Making a Vintage Base Ball How Hard Should the Ball Be? Small field or large field Men or women Age and skill level Competition or exhibition Uniform or mixed skill levels Broken fingers or not Costs involved

### The Protractor Postulate and the SAS Axiom. Chapter The Axioms of Plane Geometry

The Protractor Postulate and the SAS Axiom Chapter 3.4-3.7 The Axioms of Plane Geometry The Protractor Postulate and Angle Measure The Protractor Postulate (p51) defines the measure of an angle (denoted

### EASY STEPS TO KNITTING HOTDOG MITTENS

EASY STEPS TO KNITTING HOTDOG MITTENS LEADERS RESOURCE GUIDE 4-H Motto Learn To Do By Doing 4-H Pledge I Pledge My HEAD to clearer thinking My HEART to greater loyalty My HANDS to larger service My HEALTH

### Instruction Manual. For generic HA-1 15 class Sewing Machines -1-

Instruction Manual For generic HA-1 15 class Sewing Machines -1- Your HA-1 Sewing Machine This is a generic instruction manual for straight stitch sewing machines that are commonly known as HA-1s. The

### With yarn to right side (public side) of work. With yarn to wrong side (private side) of work. Special Stitches (Knit)

Blo Back loop only Flo Front loop only PM PU Pick Up Terms & Abbreviations (Knit & Crochet) Work into the back loop only of the stitch as it sits, regardless of whether the right or wrong side of work

### Granny Square Angels. GRANNY SQUARE ANGELS Designed by Priscilla Hewitt Copyright 2000 Priscilla s Crochet. Granny Square #1 ANGELS SECTION 1

ANGELS SECTION 1 Granny Square Angels Materials for each angel: About 1 ounce of either sport weight or worsted weight white acrylic yarn Crochet hook size D or E (to work VERY tightly) 3 long, white chenille

### 18974 (736) Singer No. 20-2. SINGER No. 20-2 ELECTRIC SEWING MACHINE INSTRUCTION MANUAL

SINGER No. 20-2 ELECTRIC SEWING MACHINE INSTRUCTION MANUAL Next Page Main Parts Accessories To start the Motor To Stop the Motor To Change the Speed Needles and Thread Relative Sizes of Needle and Thread

### 220 Superwash Animal House Pullover

220 Superwash Animal House Pullover W299 Design by Amy Bahrt 220 Superwash ANIMAL HOUSE PULLOVER by Amy Bahrt Size 2 (4,6) Materials: Cascade Yarns 220 Superwash 100% superwash wool 220 yds 100 grams 2

### Cherub Aran Owl Hats for Boys and Girls

DK284 Cherub Aran Owl Hats for Boys and Girls Designed by Cristina Mershon OWL HAT - BOY By Cristina Mershon MATERIALS - Cascade Yarns - Cherub Aran (55% nylon, 45% acrylic), 100 gr. ball, 1 ball of each

### BB Dolls. Abbreviations: Sc: Single crochet ch: Chain St: Stitch inv.dec: invisible decrease

BB Dolls Abbreviations: Sc: Single crochet ch: Chain St: Stitch inv.dec: invisible decrease Materials you will need: 2 mm crochet hook 8 ply cotton yarn in various colors 4,5 mm round, black, wooden beads

### Snowman Crochet Hat Pattern

Snowman Crochet Hat Pattern 0-3 months, 3-6 months, 6-12 months, toddler/preschool Abbreviations: hdc - half double crochet hdc-dec - half double crochet decrease sc - single crochet Materials: Lion Brand

### Mirrix Tapestry & Bead Looms Presents. Woven Silk & Bead Cuff Bracelet

Mirrix Tapestry & Bead Looms Presents Woven Silk & Bead Cuff Bracelet 1 Set-Up and Warping What comes in this kit? -Four different colors of 11/0 seed beads -Hand-painted silk yarn -Leather cuff -Piece

### LEVEL 1-BEGINNER CROCHETED VEST

LION BRANDAGRAM LEVEL 1-BEGINNER CROCHETED VEST LION BRAND LION S PRIDE WOOLSPUN MATERIALS LION BRAND LION S PRIDE WOOLSPUN (Art. #671) #134 Tomato 4 (5, 5, 6, 7) balls or Color of Choice Crochet Hook

Baby Dragon Designed by Vanja Grundmann AmigurumiBB 2014 All rights reserved Materials used: Double knit cotton yarn in color of your choice (basic color for the body, additional color(s) for wings, horns,

### When Is the Sum of the Measures of the Angles of a Triangle Equal to 180º?

Sum of the Measures of Angles Unit 9 Non-Euclidean Geometries When Is the Sum of the Measures of the Angles of a Triangle Equal to 180º? Overview: Objective: This activity illustrates the need for Euclid

### CROCHET. Master crochet in minutes! We show you all the techniques to get started PATTERN IN EXCLUSIVE

CROCHET Essential Guide to... EXCLUSIVE 3 Master crochet in minutes! We show you all the techniques to get started SIDE PATTERN IN 4 5 EXPERT ADVICE! All the essential stitches Easy guide to following

### UK Terms. Dahlia Bud. Frida s Flowers Blanket Block 2

UK Terms Dahlia Bud Frida s Flowers Blanket Block Block Dahlia Bud Dahlias are a native flower to Mexico and they often featured in Frida s work and in traditional Mexican embroidery designs. The Dahlia

### Great Fit Knifty Knit Mitts

Great Fit Knifty Knit Mitts Original design by Lisa Sawyer http://www.loomknittingdesigns.com Materials: Knifty Knitter red loom for women s size or Knifty Knitter green loom for men s size 150 yards or

### 5 Great Ways To Hang Scarf Swags

5 Great Ways To Hang Scarf Swags Author: Lee Stevens Scarf Swag No. 1 This is probably the simplest way to hang a scarf swag. Draping your scarf over a simple wooden curtain rod. All this requires other

### Youth Elastic Waist Skirt without a Pattern

extension.usu.edu Youth Elastic Waist Skirt without a Pattern March 2007 FL/ST/Construction/2007-104pr Sewing Project Skill: Take measurements and sew an elastic waist skirt Life Skills: Decision making,

### KNITTING MACHINE Quick Tips for Knitting Success

Visit our website: www.nsiinnovations.com KNITTING MACHINE Quick Tips for Knitting Success Intended for Adult Use No. 7590-08 Addendum BEFORE YOU START: Before you start knitting, wind your yarn into an

### GEOMETRY. Constructions OBJECTIVE #: G.CO.12

GEOMETRY Constructions OBJECTIVE #: G.CO.12 OBJECTIVE Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic

### HAND STITCHES. Standards CT-MMB.002

CT-MMB.002 HAND STITCHES Hand stitches have many uses. Before the sewing machine, garment-making was done exclusively by hand. However, in today s home sewing world of sophisticated sewing machines and

### Euclidean Geometry. We start with the idea of an axiomatic system. An axiomatic system has four parts:

Euclidean Geometry Students are often so challenged by the details of Euclidean geometry that they miss the rich structure of the subject. We give an overview of a piece of this structure below. We start

A Basic Knitted Beaded Amulet Bag Please note that this kit is for basic bead knitting, but it does not teach basic yarn knitting. It assumes you are comfortable with basic knitting, casting on and casting

### My Best Friend Loom Knit Doll By: Sarah E. Inserra

My Best Friend Loom Knit Doll By: Sarah E. Inserra This 20 Doll is very similar to the one I had as a child, her name was Angelica and she came everywhere with me, she was my best friend, she even looked

### How To Work With Beads. By Rowan

R O W A N How To Work With Beads By Rowan HOW TO WORK WITH BEADS Adding beads to a knitted or crocheted design gives it a really special touch especially when the beads added are as stunning as those in

### Home Yarns Pattern Boutique Gallery Guide to Style Cari's Blog Where to Buy

Subscribe to Caron Connections, our free enewsletter Enter your e-mail address subscribe Home Yarns Pattern Boutique Gallery Guide to Style Cari's Blog Where to Buy Amsterdam Coat designed by Doris Chan

### Sewing Machine No. 15 (WITH ATTACHMENTS ) OSCILLATING SHUTTLE, FOR FAMILY USE. No. 15 Instruction Manual

(WITH ATTACHMENTS 120603) OSCILLATING SHUTTLE, FOR FAMILY USE No. 15 Instruction Manual Next Page Instructions for Operating the Machine Main Parts To Take out the Bobbin To Wind the Bobbin To thread the

### The Geometer s Sketchpad: Non-Euclidean Geometry & The Poincaré Disk

The Geometer s Sketchpad: Non-Euclidean Geometry & The Poincaré Disk Nicholas Jackiw njackiw@kcptech.com KCP Technologies, Inc. ICTMT11 2013 Bari Overview. The study of hyperbolic geometry and non-euclidean

### Sunny Days Beach Bag, Tablet Cosy and Sunglasses Case. Crochet Patterns by Annaboo s House

Sunny Days Beach Bag, Tablet Cosy and Sunglasses Case. Crochet Patterns by Annaboo s House Perfect for the summer holidays, this crocheted beach ensemble is a very easy project. Just add sunshine for a

### 2 Toe-Up Socks Tutorial Read this first!

1 of 27 Two Toe-Up Socks on one Circular Needle A sock knitting tutorial by Kristin - www.cometosilver.com/socks Read this first! This tutorial is for the knitter who has sucessfully knit at least one

### Double Chain Stitch. Double Chain Stitch page 1

Double Chain Stitch Double Chain Stitch This stitch is suitable for straight seams. It also can be used for a decorative chainstitch topstitching effect. The Middle Cover needle and the Chainstitch Looper

### Basic Quilting Guide Making a Quilt 1 Preparing Materials and Equipment

Basic Quilting Guide Making a Quilt Preparing Materials and Equipment Fabric... We recommend 00% cotton that is not too thick. Quilt batting... Normally, medium-thick 00% polyester batting is used. There

### UK Terms. Crafternoon Treats Frida s Flowers Project Bag Pattern and Crochet Along

UK Terms Crafternoon Treats Frida s Flowers Project Bag Pattern and Crochet Along This stash bag/project bag has been designed by Kathryn of Crafternoon Treats as a really useful crochet bag to store your

### Geometric Optics Converging Lenses and Mirrors Physics Lab IV

Objective Geometric Optics Converging Lenses and Mirrors Physics Lab IV In this set of lab exercises, the basic properties geometric optics concerning converging lenses and mirrors will be explored. The

### Basic Stitches on a Single Rake Free instructions from

Basic Stitches on a Single Rake Free instructions from http://www.loomknittingdesigns.com Materials for practice: Any loom used as a single rake 1 ball practice yarn Loom yarn pick What s included here:

### Minimizing Seam Puckering

Minimizing Seam Puckering Seam puckering refers to the gathering of a seam during sewing, after sewing, or after laundering, causing an unacceptable seam appearance. Seam puckering is more common on woven

### I generally figure 2 1/2 filet squares or 2 solid squares for 5 ozs. worsted weight yarn. (Don t forget to account for assembly and edging)

Cancer Ribbon Filet Afghan derivative 2006, 2012 by Sandra Petit, adapted from Cancer Awareness Afghan design by Cheri Jackson, Mary Maxim (with permission). Shared for personal/charity use only http://www.crochetcabana.com/

### EASY STEPS TO KNITTING li

EASY STEPS TO KNITTING li WELCOME Welcome to the 4-H Easy Steps to Knitting II Project! Please read through this project guide carefully, as it contains information and suggestions that are important for

### Booty Slipper. Design by Jo Ann Hill Instructions by Jo Ann Hill and Anne Bipes

Booty Slipper Design by Jo Ann Hill Instructions by Jo Ann Hill and Anne Bipes This pattern was developed as a sample for slippers to be knit for Project One Fifty. In 2007, participants in this project

### Mittens and Gloves Topless and Fingerless, with Tops and Fingers or Removable Tops

Mittens and Gloves Topless and Fingerless, with Tops and Fingers or Removable Tops Mittens and Gloves Topless and Fingerless, with Tops and Fingers or Removable Tops patterns by Deborah V. Gardner Materials

### Finished size: Gauge: Abbreviations: (US terminology) Work in continuous rounds unless otherwise specified. 27 cm or 10.6 standing

This is Pattern for baby only. Pattern for clothes and variations on bent arm or open mouth head you can find on AmigurumiBB.com as separate patterns or photo tutorials Materials needed: 2,0 mm crochet

### Bunny Crochet Hat Pattern

Bunny Crochet Hat Pattern 0-3 months, 3-6 months, 6-12 months, toddler/preschool http://www.makeanddocrew.com/free-crochet-bunny-hat-pattern-baby Abbreviations: hdc - half double crochet hdc-dec - half

### BUILD A TABLETOP LOOM

BUILD A TABLETOP LOOM From 1" x 2" stock (actual 3/4" x 1"1/2) cut: 4 pieces 15" long 4 pieces 5"1/2 long Use the above to make 2 frames for the front and back of the loom. From 1" x 4" stock (actual 3/4"

### NAVIGATOR PROP BUILDING INSTRUCTIONS & PHOTOS. Task 1: Outer Space: Mission to Europa

NAVIGATOR PROP BUILDING INSTRUCTIONS & PHOTOS Companies should be aware that tolerances in lengths of cut pipe and length of pipe inserted into joints can change the overall dimensions of product demonstration

### An overview of Spherical Geometry, as it relates to this course

An overview of Spherical Geometry, as it relates to this course Spherical geometry is something we could spend a couple weeks on, and we re not. We re going to spend like, maybe, 20 minutes on it (OK,

### 4) Read and study the steps and illustrations first to get an overall picture of the project. Then come back and commence practice.

How to make a wire rosary Our Lady s Rosary Makers www.olrm.org Supplies Needed To make one wire rosary you need: Rosary Pliers 8 ft. of wire (we suggest wire no larger than 18 gauge and no smaller than

### Eðlisfræði 2, vor 2007

[ Assignment View ] [ Pri Eðlisfræði 2, vor 2007 29a. Electromagnetic Induction Assignment is due at 2:00am on Wednesday, March 7, 2007 Credit for problems submitted late will decrease to 0% after the

### US Terms. Rosa. Frida s Flowers Blanket Block 4

US Terms Rosa Frida s Flowers Blanket Block 4 Block 4 Rosa One of Frida s very first paintings is entitled Still Life Roses and she painted it in 95. Frida often wore roses in her hair or tucked one behind

### Glasses for Missions, Inc.

1 Glasses for Missions, Inc. Instruction Manual All praise and thanks to Jesus Christ, our Lord and Savior, who has blessed us with a vision to help restore sight and vision to His people in many lands,

### Physics 210 Q ( PHYSICS210BRIDGE ) My Courses Course Settings

1 of 16 9/7/2012 1:10 PM Logged in as Julie Alexander, Instructor Help Log Out Physics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings Course Home Assignments Roster Gradebook Item Library

### Q28.1 A positive point charge is moving to the right. The magnetic field that the point charge produces at point P (see diagram below) P

Q28.1 A positive point charge is moving to the right. The magnetic field that the point charge produces at point P (see diagram below) P r + v r A. points in the same direction as v. B. points from point

### Crochet Angel Pattern

Crochet Angel Pattern Head Flash color of your choice Sc6 in magic ring R1 inc6 (12 sts) R2 *inc1, sc1* x6 (18 sts) R3 *inc1, sc2* x6 (24 sts) R4 *inc1, sc3* x6 (30 sts) R5 *inc1, sc4* x6 (36 sts) R6 *inc1,

### GGH Samoa (50% Cotton, 50% Acrylic; 104d50grams) 1 skein in #98 red

Helicopter Hat by Susan B. Anderson When Robin Armstrong contacted me about this wonderful charity hat knitting event, I was honored to design and write a hat pattern for the Arkansas Children's Hospital.

### 8 Different Crochet Stitches: Learn to Crochet Something New with Free Crochet Patterns. Copyright 2013 by Prime Publishing LLC

8 Different Crochet Stitches: Learn to Crochet Something New with Free Crochet Patterns Copyright 2013 by Prime Publishing LLC All rights reserved. No part of this book may be reproduced or transmitted

### MATERIALS. Vortex Afghan & Pillows. Details & Instructions MEASUREMENTS. designed by Lisa Gentry

Home Caron Patterns Vortex Afghan & Pillows Vortex Afghan & Pillows designed by Lisa Gentry DESCRIPTION SIZING Details & Instructions MEASUREMENTS Pillow Pillow measures approximately 18 x 18"/45.5 x 45.5cm

### The purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.

260 17-1 I. THEORY EXPERIMENT 17 QUALITATIVE STUDY OF INDUCED EMF Along the extended central axis of a bar magnet, the magnetic field vector B r, on the side nearer the North pole, points away from this

### Eaten by a Shark The pattern. finally

www.offthehookforyou.co.uk Eaten by a Shark The pattern. finally MAY 4, 2015 ~ OFFTHEHOOKFORYOU ~ EDIT A little later than planned, but here is my pattern for a shark tail. The shark was made when my son

### Have a go at.. creating a hand stitched patchwork purse!

Have a go at.. creating a hand stitched patchwork purse! This is a great way of using up all those small or favourite pieces of fabric that you just cannot throw away. Most fabric stores will let you buy

### Slipped Rib Bib and Cloth

Slipped Rib Bib and Cloth Copyright 2011; 2015 by Elaine Fitzpatrick. Permission is granted to make and sell items from this pattern provided that credit is given to me as the designer. Permission is not

### Gourd Coiling Instructions for a Purse

Gourd Coiling Instructions for a Purse Gourd coiling has many applications. You will be completing a simple gourd coiled bowl or vase. Coiling can also be used to create a beautiful purse. These instructions

### Instructions for Rowley s Rapid Sketch System (Stk# DYC60) Part 1 - Understanding How Each Component Works

I-4D Instructions for Rowley s Rapid Sketch System (Stk# DYC60) Part 1 - Understanding How Each Component Works Rowley s Rapid Sketch Board (Stk# DYC61) and Tracing Paper Pad (Stk# DYC62) Quickly draw

www.beadsbaublesandjewels.com 1410-2 Claudia Chase demonstrates a new technique for the show by making a fiber and bead cuff bracelet on a loom. Mirrix Tapestry/Bead Cuff This kit contains the following:

### Properly Wiring Art for Gallery Presentation and Security wired. Wire attachments Sawtooth brackets D-rings D-ring location

Properly Wiring Art for Gallery Presentation and Security 2015 by Allen L. Clapp Properly wired art will hang parallel to the wall and will be attached to the wall in a manner that will allow the art to

### Quack? Quack, quack! Little ducklings pattern

Quack? Quack, quack! Little ducklings pattern Abbreaviation: Ch: chain St: stitch Sc: single crochet US (double crochet UK) Inc: increase, two stitches in one stitch Inc+: increase, three stitches in one

### Angela the cat Copyright by AmigurumiBB Vanja Grundmann

Angela the cat 1 Abbreviations: Ch:Chain St:Stitch Sc:Single crochet Inv.dec.:Invisible decrease Hdc:Half double crochet stitch Sl.st.:Sip stitch Doll is made in spiral. No chain or slip stitch connections