stents, expanding, patterns, oesophagus, folds, cancer, Gastroenterol, treatment, tubular stents, origami stent, wire mesh, Self-expanding, helical folds, shape memory alloy, expansion.
For example, oesophageal stents have been widely used in the gastrointestinal tract to treat cancers in the oesophagus and bile duct.
For oesophageal and pancreato-biliary cancers stent placement has become the most common form of treatment because these tumours are often inoperable at the time of diagnosis and are not particularly responsive to radiotherapy or chemotherapy.
Present expanding stents are made from metal wire mesh with or without outer covering membrane.
Often doctors opt for cheaper, semirigid plastic tubular stents even though they carry a higher risk of oesophagus perforation and are more easily blocked with bile and biofilm than the expandable stents.
The concept of the origami stent is originated from the way of packaging a thin-walled tube with the introduction of folding patterns.
meyer
map, cylinders, generator, rational maps, squares, Daniel Meyer, origami, embedding, deflne, plane, triangles, snowball, sidelength, quasisymmetric embedding, subdivision.
It is well known that the snow ake (or von Koch curve) can be mapped to a circle by a quasiconformal map of the plane.
The classical paper on quasisymmetry is [TV].
The functionR induces a subdivision of the sphere into cylinders in a natural way, the cylinders of ordern being the preimages of H+ and H¡ underRn.
The map (4.3) induces a surjective map f:T!
The mapping behavior is indicated in Figure 12 (again white of the universal orbifold covering maps fj triangles map to H+, and black ones to H¡), they are elliptic functions.
On the middle triangle put a tetrahedron, which produces the generator of a self similar surface consisting of 6 equilateral triangles.
06 OrigamiKub http://www.pedf.cuni.cz/kmdm/download/aktivity/eltmaps/Classroom/06 OrigamiKub.pdf
picture, pupils, fish, basic characteristics, square, geometry, origami, plane, symmetry, folding, angle, teaching, school, folds, evidence.
Geometry belongs to one of the oldest sciences.
We tried to change: Approaches to the presentation of geometry in school, to avoid presenting it to pupils as a complete structure but to present it as a part of mathematics which is rooted in reality and helps to solve problems of everyday life, Methods and forms of work in the teaching of geometry and to show that geometry does not only mean constructions and calculations but also experimenting, modelling and the ability to visualise.
These may be of different size but the standard is a square with length size 15 cm, and these are also used in the teaching process.
Folding fish (see picture 11 below) can be handled without serious difficulties even by ten-year-old pupils and it is used even by fifteen-year old pupils.
The shape of tail (the same tail -- identical or similar fish).
The shape of tail and size (the same tail and size -- identical fish).
Pupils insert one fish to another (see picture 12).
OrigamiinMathematics
fold, triangle, crease, unfold, star, equilateral triangle, shapes, bottom-left, Mathematics, origami, website, London SW1E, Buckingham Gate, Swire House, Festival Education Trust.
Mathematics at Key Stages 1 and 2 includes work on understanding and using the properties of shape.
One possible approach to this is through origami.
The following instructions for making two basic shapes, an equilateral triangle (which can be the basis for many other shapes) and a six-pointed star.
2. Fold the top left corner onto this crease line so that the new fold passes through the bottom-left corner.
1. Fold and unfold to mark the centre of the triangle and the middle of each side.
4. Repeat with the other two corners and then interlock the folds to complete the star.
jig http://homepage1.nifty.com/starcage/jig.pdf
Pleiades, assemble, jig, origami, channels, pentagram, chirality, icosi-dodecahedron, windmill, Star Cage, English expression, suggestion, Robert Hickling, Acknowledgement, Jui.
In 1995 I published a paper describing the Pleiades, a chain of six pentagrams.
Some people can already assemble Pleiades themselves.
But most people find it difficult to assemble.
So I invented an Origami jig for assembling the Pleiades in 2000.
At last, everybody can assemble it themselves.
Finally, you complete the icosi-dodecahedron which has channels.
The channels now serve as guides which allow you to easily complete the Pleiades.
Please pay special attention to the chirality of the pentagram.
Yet they are interesting as self-standing, glueless, origami polyhedron.
I would like to thank Mr. Robert Hickling who gave suggestion for my English expression.
instructions_hollyblue
fold, Unfold, creases, Holly Blue, markings, colouring, folding, mountain, rinte, repeat, hould, outer solid, instructions, image alo.
To make Holly Blue, cut out the image alo follow the instructions below.
Fold in half along diagonal line Step 6.
Fold the right corner up along line A, as shown above Step 12.
Fold in hal f to create a crease in the center.
origami
fold, Origami, Frog, folding, General Conference, Hobbies, Crafts, Arts, Original Honor, Skill Level, Bible story, Illustrate, memory, Hen Fold, Duck.
Identify the symbols for the following terms: a.
Watch this spot Demonstrate folding the following folds: a.
Waterbomb base c. Frog base Do three of the following models: a.
Choose three of the following models to fold or select similar models from Origami books: a.
Walking dog c. Sailboat g. Duck d.
Hen Fold one model of your choice from memory from requirement 5 or 6.
Illustrate a Bible story using several Origami models.
Alhazen
constructions, origami, axioms, fold, angle, conics, bisector, geometry, pencil, tangents, Pythagorean, ects, intersections, fleld, circle.
We can solve some elementary problems from geometry using origami foldings.
Below are the axioms which guide the allowable constructible folds and points in, the fleld of complex numbers, starting from the labelled points 0 and 1 (see [1] for more details and references).
The flrst three are the Thalian constructions which ensure that we have a fleld after we have a non-real complex number z.
We can also replace the Alhazen-Huygens solution as simultaneous intersection of conics by a single real quartic.
The common tangents to mon points of C1 andC2.
With the Origami axioms we can fold the common intersections or tangents to two conics.
9-12_2
protein, origami, crystals, animals, student, fold, growth, Organized Protein Origami, junction, scientists, Web site, life, building blocks, Student Sheets, compare.
Objective: To simulate protein structures using origami.
Duplicate the Student Sheets (one per student).
The site has interactive methods and Flash software to actually show you how the fold the perfect origami shape.
The structures of many important proteins remain a mystery simply because researchers are unable to obtain crystals big enough to study.
NASA 's Protein Crystal Growth Program has been developed to learn how protein crystals grow in space, to optimize the growth process, and to produce large, high-quality crystals of selected proteins.
Origami is simply taking a piece of paper and folding in a certain way to form animals or shapes.
trmkr40 http://origami.kvi.nl/programs/treemaker/trmkr40.pdf
tree, crease pattern, TreeMaker, square, polygons, flaps, circles, terminal nodes, design, command, creases, selections, optimizer, construction, lengths.
Use and distribution of this program is subject to restrictions described in the TreeMaker documentation.
Portions (CFSQP) copyright @1993--1998 by Craig T. Lawrence, Jian L. Zhou, and Andre L. Tits.
This defines the overall structure of the base.
We'll do this second stage now via the simplest route.
You have learned the basics of TreeMaker: how to define a stick figure using the point-and-click interface and how to construct a basic crease pattern.
In the next example, you'll learn how to modify the stick figure to alter proportions, how to incorporate symmetry, and how to customize the screen and printed image.
origami http://www.yasutomo.com/origami.pdf
square, sheets, w/instructions, assortment, instructions, patterns, silver, papers, origami, animals, fold, Folk art assortment, dinosaurs, Aurora, green/gold.
The secrets of this precise, delicate art of paper folding have been passed on from generation to generation since their origin centuries ago.
Our new Fold'ems® series is sure to entice everyone-beginners and experts, children and adults.
Choose from our wide range of origami papers in exciting colors, patterns and textures.
Each kit comes with sheets of patterned paper that simulate the individual animals and insects.
Also included are practice papers, instructions with diagrams and background scenery for displaying the folded animals.
Recommended for children 6 years and over.
proposal
creases, origami, configurations, algorithms, bending, manipulation, closed chains, fold, folding, constraints, designs, geometry, flexible objects, rigid, simulation.
I will present origami folding as an exciting challenge problem for the field of robotic manipulation.
Through an exploration of origami folding, my thesis will give insight and provide a partial solution to some very hard manipulation problems.
Redont [44] used the zero-curvature property as well as the fact that geodesics are intrinsic in order to show that a developable can be described by a parameterized path on the Gaussian sphere.
It was shown that there is a linear constraint between the positions of the rulings and the 'developability' of the surface (the extent to which rulings share a common tangent plane at each endpoint).
