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Maths of Celtic and African art Chris Budd
Knots have been around for a very long time They have many uses Climbing Fishing Sailing
They also appear in nature Enzyme DNA Vortices
Knots are central to Celtic and African art Celtic African
Book of Kells
How to draw simple Celtic Knots Start with a grid (5, 4) grid
(2,2) 2 (3,2) 1 (5,3) 1 (4,4) 4 How many pieces of string are needed?
Simple Celtic Knots are very similar to plaited mat sona drawings Sona … African sand patterns These are used to tell stories (3,4) (2,4)
More advanced Celtic Knots are also based on a grid and a set of simple rules or
ABC Grid Corner Patterns Corner Edge
A (A B) First example B Notation
Get the Trefoil Knot.. Also called the overhand knot Two trefoils = one reef knot
B AAB (B A A B) Notation Second example
Get the Carrick Bend This is the simplest example of a Josephine Knot
… or even … A A A A B B B B C (A B A) (B C B) (A B A) Symmetry makes the best knots Notation Four reflexions One rotation
… producing the knot
We can also produce more advanced African knots … Such as the Chased Chicken design
Maths, magic and mystery Chris Budd. Who likes magic? We like magic because Its mysterious Its dramatic It has an element of surprise It has glamour and.
Dancing with maths Chris Budd. What have the following got in common?
Task:- Maths To Create Art.
09/02/2016 Celtic Knot Patterns 3 Maths Today we will explore and mathematically describe border patterns. Big Idea: Maths and Graphic Design.
Whoever tells you that teaching and research dont go together is talking rubbish Chris Budd.
Quick Start Expectations 1.Fill in planner and HW record sheet Polyptych Project –2 more squares (by ??) Packet #3 – due ?? 3.Get signature on HWRS 4.Work.
TYPOGRAPHY! The art of line and shape- communicating together.
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By Grant This pattern is found in nature. This pattern is found in nature.
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1. To make a Celtic knot, begin with a square or rectangle piece of paper and fold it into fourths.
Eltic knotwork. Insular animal and knot interlace, Lindisfarne Gospels, early 8th centuryLindisfarne Gospels.
© T Madas. A shape has rotational symmetry, if it looks the same in more than one position, when rotated about its centre. We say it has a rotational.
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Motion Geometry Symmetry Symmetrical shapes are pleasing for the eye. These shapes are all around us, whether they are man made. or appear in nature.
Illuminated Manuscripts. The Process O Made out of parchment (what is parchment?) O The Scribe would copy the text from the page of the specific manuscript.
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1 Rotations and Symmetry 13.6 LESSON Family Crests A family crest is a design that symbolizes a family’s heritage. An example of a family crest for a Japanese.
Confessions of an industrial mathematican Chris Budd.
ART I: Assignment 2 INSECTS. What shapes do you see? What lines do you see? What patterns do you see? Are the insects symmetrical or asymmetrical?
Math Game. Math Jeopardy Counting Add + Subtract - Patterns Number ID
Line of Symmetry A line of symmetry divides a figure/shape into two mirror-image halves.
5.7 Reflections and Symmetry. Objective Identify and use reflections and lines of symmetry.
Rope knots, tying and stretching Practical approach 25 September, 2013 Outdoor Sports and Recreation Education Summer School 2013 Josef Pilsudski University.
Leonardo Meeting, SETI Institute, Feb. 10, 2010 Naughty Knotty Sculptures Carlo H. Séquin U.C. Berkeley.
The Cartesian Coordinate System The Cartesian Coordinate system is two dimensional grid formed by drawing two numbers lines; one line is perpendicular.
Warm-Up Triangle ABC has the following vertices A(7, 2), B(1, 2), C(4, 5). 1.Give the coordinates of the image after is has been translated 3 units left.
Grade Standards, Supporting Skills, and Examples THIRD GRADE ALGEBRA Chaz Foss.
“In ancient times, music was considered a part of mathematics. Mathematics is the music of the mind; music is the mathematics of the soul.” Harald Ness,
Chapter 10 Polygons! lvillage.education.vic.gov.au/.../polygons.JPG.
Writing Numbers Using Playing Cards to Expand Numbers © Math As A Second Language All Rights Reserved next Writing Numbers 4.NBT#2.
10-2B Wallpaper Patterns What are wallpaper patterns? What types of symmetry do wallpaper patterns have?
Problem 3.2. Step One Draw a 4 X 6 rectangle on grid paper and cut it out.
Symmetry. What Is Symmetry? Fundamental organizing principle in nature and art Preserves distances, angles, sizes and shapes.
Line Designs, Knot Designs Homework: On graph paper, create 2 lines designs using a 45° angle and a 120 °, AND 2 knot designs, finishing off the ends.
Drawing and Painting Fun (4th) - Mosaics -. MOSAICS are a very old form of art. They decorate walls and floors. Mosaics are made of small coloured pieces.
Translatio ns Essential Skill: Demostrate Understanding of Concept https://www.youtube.com/watch?v=NKtJd1hkI9k.
Cooperative Learning A Mini-Lesson By: Linda Mac Intyre.
13.4 AND 13.5 TRANSLATIONS, REFLECTIONS, AND SYMMETRY Pre-Algebra.
12.6 Rotations and Symmetry Rotation- a transformation in which a figure is turned around a point Center of rotation- the point the figure is rotated around.
Celtic Knot. What is it? “Celtic Knots” are stylized, graphical representations of knots and braids. Interlacing, endless knot patterns. Used for decoration.
Comparing DNA Aim: How can we compare organisms using gel electrophoresis? Do Now: Write two observations from your results of gel electrophoresis.
Holt McDougal Geometry 9-5 Symmetry Warm Up Identify each transformation. 3. A(3, –4), B(5, 1), C(–4, 0); 180° Rotate ∆ABC with the given vertices.
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ZENTANGLE What is a Zentangle? Zentangles are relaxing, miniature* pieces of unplanned line art created in very structured, repetitive patterns. *Usually.
Symmetry Figures are identical upon an operation Reflection Mirror Line of symmetry.
9-3: Rotations Rigor: Students will rotate figures about a point on and off the coordinate plane. Relevance: Rotations describe movement.
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