Dr Daina Taimina talk on hyperbola

http://www.youtube.com/watch?v=w1TBZhd-sN0

There are many mathematical theories found in nature, one in particular that challenges people’s perceptions; the theory of Hyperbola.

My research started with a questionnaire focusing on geometry in nature, helping me to establish that people’s perception of mathematical geometry is paradoxical to those of organic forms.
The Hyperbolic plane is surface that has a constant negative curvature of which there are many approximate examples found in nature.  Scientists over the years have developed theories based on equations, but none had created a hyperbolic curve in 3D until William Thurston.
Mathematician Dr Daina Taimiņa used Thurston’s idea of paper annuli to make a hyperbolic curve by crocheting.  
Hyperbola is relatively new to jewellery design; basic techniques can simulate this form but not create an accurate hyperbolic curve.  I wanted to take the idea one step further and create an accurate hyperbolic curve in metal without the use of computer technology. Being able to crochet I was inspired by Dr Daina Taimiņa to use her pattern as the bases for my designs.
During this project I have developed a unique methodology and design process in order to make and produce contemporary and conceptual hyperbolic jewellery.

 

Dissertation bibliography

Bibliography

Images

Fig 1.
I the lord of sea and sky, made and Photographed by artist 2012

Fig 2.
Thistles’ corsage ornament, Designed by Rene Lalique, 1905.

http://www.vam.ac.uk/content/articles/h/jewellery-through-the-ages/ (accessed 10/12/2012)
Fig 3.
Earrings, Gold set with Garnets. Made ca. 1835, England, artist/maker unknown.
http://collections.vam.ac.uk/search/?limit=15&q=jewellery&commit=Search&after-adbc=AD&before-adbc=AD&category%5B0%5D=53&narrow=1&place%5B0%5D=8&material%5B%5D=67&offset=0&slug=0 (accessed 10/12/2012)

Fig 4.
Made in England 1975 (made) by Michael Burton.
http://collections.vam.ac.uk/item/O118110/ring-burton-michael/ (accessed 10/12/2012)

Fig 5.

Otto Kunzli, Gold makes you go blind, 1980, bracelet made from rubber and gold

.http://www.artjewelryforum.org/articles/austerity-measures (accessed 10/12/2012) 

Fig 6.
Gijs Bakker and Emmy van Leersum. Clothing Suggestions 1970 tube-knitted elastic textile

http://www.gijsbakker.com/home (accessed 10/12/2012)

Fig 7.

Aluminum collar, designed by Emmy van Leersum in 1967 in Art Aurea’s article on the Dutch avant-garde

http://www.artaurea.com/magazin/103-the-rebirth-of-art-aurea (accessed 10/12/2012)

Fig 8.

Otto Künzli, Beauty Gallery, Susy, Photo frame

http://www.artjewelryforum.org/articles/all-world-over-global-ambitions-contemporary-jewelry-0

Fig 9.

Modernist Ring, made and photographed artist, Sterling silver, 2010

Fig 10.

Nature’s Silhouette, made and Photographed by artist, Acrylic neckpiece 2010

 

Fig 11.

Eat/Diamonds , Everyday/Rings, Silver and Resin/Wax/Ice, Hannah Louise Pittman

(http://www.hannahlouisepittman.co.uk/work.php) (accessed 20/12/2012)

Fig 12.

Seaweed, Photograph taken by artist

Fig 13.
M.C Escher, Circle limit IV “Heaven and Hell” 1960
http://euler.slu.edu/escher/index.php/Hyperbolic_Geometry (accessed 20/10/2012

Fig 14.

Anemone Photographed by artist 2012

Fig 15.
Brain Coral photographed by artist 2012

Fig 16.
Trefoil Loop, By Benjamin Storch, Germanium Silver, Dimensions: 150 x 145 x 130 mm

http://www.benjaminstorch.co.uk/SILVER/SCRIPTS/silver.html (accessed 12/10/12)

Fig 17.
Carlo Séquin, "Cube-Volution-5" (June 2009)

http://www.cs.berkeley.edu/~sequin/SCULPTS/CHS_bronzes/2009_0703_bronzes/Cube5Volab%20%28Small%29.JPG

Fig 18.
Untitled, date not specified, Sophie Buckley

http://www.sophiebuckley.co.uk/

Fig 19.

Montipora coral Photographed by artist

Fig 20.

Hyperbolic ring, sterling silver, made and photographed by artist 2013, 1 of 8

 

Fig 21.

Hyperbolic ring, sterling silver, made and photographed by artist 2013, 2 of 8

 

Fig 22.

Hyperbolic ring stack, sterling silver, made and photographed by artist 2013, 1-5 of 8

 

Fig 23.

Hyperbolic ring, sterling silver, made and photographed by artist 2013, 5 of 8

 

Books

Bernabei, Roberta (2011). Contemporary Jewellers. Interviews with European artists. Berg

Besten, den, Liestbeth (2012). On Jewellery. A compendium of international contemporary art jewellery. Arnoldsche art publishers.

Brundtland, Malm, Cecilie (2003) Tone Vigeland, Jewellery + Sculpture Movements in sculpture. Arnoldsche art publishers.

Cohn, Susan (2012) Unexpected pleasures. The Art and Design of Contemporary Jewellery. Rizzoli International Publications, inc.

Hartop, C. and Norton, J. (2008) Geometry and the silversmith: the Domcha collection [Book]. Cambridge: John Adamson.

Mansell, Amanda (2008). Adorn, New jewellery. Laurence King publishing Ltd.

Rabinovitch, Seymour, Benton. And Clifford, Helen (2000) Contemporary Silver, Commissioning, Designing, Collecting. Merrell Publishers Limited.

Staal, G., Noten, T. and Baalen, A.v. (tr.) (2006) Ted Noten : CH2=C(CH3)C(=O)OCH3 enclosures and others TN's [Book]. Rotterdam: 010 Publishers.

Taimiņa, Daina (2009). Crocheting Adventures with hyperbolic planes. A K Peters, Ltd

Joris, Yvonne (2005) Gijs Bakker and jewelry: catalogue of jewelry, Arnoldsche

Websites

http://www.crochetconcupiscence.com/2012/08/contemporary-sculpted-textiles-of-sophie-buckley/ (accessed 3/10/2012)

http://www.sophiebuckley.co.uk/ (accessed 3/10/2012)

http://www.melanieeddy.co.uk/gallery.php (accessed 3/10/2012)

http://textiles-installation.wikispaces.com/ (accessed 3/10/2012)

http://www.alfredo-haeberli.com/products/hyperbolic/1.html (accessed 9/10/2012)

http://www.sciencenews.org/view/generic/id/56987/description/The_mutual_inspiration_of_art_and_mathematics (accessed 9/10/2012)

http://www.artcat.com/exhibits/15974 (accessed 9/10/2012)

http://www.math.wisc.edu/~meyer/airsculpt/sculpt07.html (accessed 9/10/2012)

http://mathmunch.wordpress.com/tag/crochet/ (accessed 9/10/2012)

http://katherine-mavridis.blogspot.co.uk/2012/04/close-up-of-exquisite-forms-knit-can.html (accessed 9/10/2012)

http://aquaallie.blogspot.co.uk/2009/03/crafty-coral.html (accessed 12/10/2012)

http://archiseek.com/2010/2002-locenografic-valencia-spain/#.UHU3tBhOB2w (accessed 12/10/2012)

http://www.fastcodesign.com/mba/1670850/10-masterpiece-buildings-that-turn-concrete-into-poetry#1 (accessed 12/10/2012)

http://crochetcoralreef.org/contributors/index.php (accessed 12/10/2012) (image)

http://www.cs.berkeley.edu/~sequin/  (accessed 12/10/2012) (image)

http://www.cs.berkeley.edu/~sequin/SCULPTS/CHS_bronzes/2009_0703_bronzes/Cube5Volab%20%28Small%29.JPG (accessed 12/10/2012)

http://www.benjaminstorch.co.uk/JEWEL/SCRIPTS/jewel.html  (accessed 12/10/2012)

http://www.benjaminstorch.co.uk/SILVER/SCRIPTS/silver.html (accessed 12/10/2012)

http://www.benjaminstorch.co.uk/research/scripts/research.html (accessed 12/10/2012)

http://robcrowma.blogspot.co.uk/ (accessed 12/10/2012) (image)

http://www.druinenamels.com/gallery.html (accessed 15/10/2012)

http://mathworld.wolfram.com/Catenoid.html (accessed 15/10/2012)

http://mathworld.wolfram.com/Helicoid.html (accessed 15/10/2012)

http://malini-math.blogspot.co.uk/2010/08/maths-and-nature.html (accessed 15/10/2012)

http://euler.slu.edu/escher/index.php/Hyperbolic_Geometry (accessed 15/10/2012)

http://theiff.org/press/interweave.html (accessed 18/10/2012)

http://www.eileenmoylan.com/2012/02/theresa-nguyen/ (accessed 18/10/2012)

http://bathsheba.com/jewelry/rygo/ (accessed 18/10/2012)

http://www.benjaminstorch.co.uk/SILVER/SCRIPTS/silver.html (accessed 18/10/2012)

http://animal-world.com/Aquarium-Coral-Reefs/Yellow-Leather-Coral (accessed18/10/2012)

http://vanbuskirkjewellery.bigcartel.com/product/honey-comb-ring (accessed 22/11/2012)

http://www.ixojewellery.com/shop/jewellery/take-a-look/ (accessed 22/11/2012)

http://www.ajdc.org/designproject/index.html (accessed 22/11/2012)

http://www.smm-metalinclinations.org/P_romanski.htm (accessed 22/11/2012)

http://www.hnorthrop.com/escher.html (accessed 29/11/2012)

http://arthistory.about.com/cs/glossaries/g/s_space.htm (accessed 29/11/2012)

http://www.hannahlouisepittman.co.uk/ (accessed 03/12/2012)

http://www.vam.ac.uk/content/articles/h/jewellery-through-the-ages/ (accessed 03/12/2012)

http://www.tednoten.com/work/portfolio/beautiful-by-accident (accessed 03/12/2012)

http://oxforddictionaries.com/definition/english/conceptual%2Bart (accessed 08/12/2012)

http://www.designboom.com/chic/emmy-van-leersum-at-delux-strikes-a-pose-exhibition/ (accessed 10/12/2012)

http://www.droog.com/about/designers/gijs-bakker/ (accessed 10/12/2012)

http://www.iriseichenberg.nl/eichenberg.html (accessed 12/12/2012)

http://www.artyfactory.com/art_appreciation/timelines/modern_art_timeline.htm (accessed 4/01/2013)

(www.webdesignerdepot.com/2009/09/the-difference-between-art-and-design/) (accessed 4/01/2013)

''Organic geometry''

 

I have always found inspiration in my personal environment drawing on its relevance in my life. This journey has now led me to live by the sea and I have developed a deep affinity with the shore line and its treasures.



Sea Anemone at Plymouth Aquarium
Photographed by Abigail Ashmore

 

Fungi showing hyperbolic curves
Photographed by Abigail Ashmore

 

Honeycomb Worm at Sandymouth beach Cornwall
Photographed by Abigail Ashmore

As a designer and artist my senses are my tools, particularly my haptic and visual understanding. I focus on the reasons for the things I make and the emotional attachments I have to them, so I am able to be creative in a way that fulfils my individuality.   
Throughout this project I have been inspired in particular by a quote that applies to myself and others as creative practitioners.

“What I hear I forget,
What I see I remember,
What I touch I understand”

Confucius (555-479 BC)

(Taimiņa, Daina 2009 pg1)


Giant clam
Sketch by Abigail Ashmore

 

In this project I have taken into consideration views and opinions on geometry and Contemporary conceptual jewellery. My aim was to produce an organic form that challenges people’s perceptions of geometry.
Geometry has dominated my design processes from the beginning of my journey and will continue to do so. As an artist I am influenced by everything I encounter. The natural world and my direct environment at any given time is full of geometry so it is difficult to avoid in design.
I enjoy the accuracy of mathematics in design and as I have found in my latest project, its ability to be unpredictable. Marine life and in particular corals have offered up a new route of exploration, where geometry plays an intrinsic role in the way these creatures develop and grow with an organic appearance.  This geometric formula is an example of a hyperbolic plane.
Hyperbolic curves are found in corals, specifically Montipora. The way corals grow mimic the way hyperbolic curves develop by using the technique of crochet.
Each of my final pieces started by crocheting fine lace yarn around a wax ring, these models were then cast in silver and used as a product from which to design.
I focused on the use of stone setting to convey the colours associated with marine life and corals.
My dissertation focused greatly on target audience and how I wish to be perceived as an artist. Age isn’t a target but instead an interest in originality and process. The steps I have taken to achieve each of my pieces allow the wearer to tell a story, teach them a complicated theory and is a contradiction of common beliefs.

Model of hyperbolic ring in sterling silver

Design of hyperbolic ring

 

 

 



Each piece is a one off as the process creates a 

variation in each outcome. It is because of this fact that I would hope to achieve a retail price of £200-£60. Currently my jewellery can only be purchased directly from me or locally from a small gallery in Cornwall. This collection can be seen at exhibitions in Cornwall, Devon and London this year.                      

  Hyperbolic pendant
Sterling silver with Swiss blue topaz.

  

Hyperbolic earrings
Sterling silver and Sapphire coloured CZ

Hyperbolic ring in Sterling silver with a single grey pearl.



 



 

Hyperbolic Polip ring set with tiny
Aquamarine, Peridot and Alexanderite.

For a photostream of my past fours years making follow the link below

http://www.flickr.com/photos/97032086@N06/

CV

Statement

Abigail Ashmore studied the art of traditional jewellery making at Truro College in Cornwall. Currently selling her work in a gallery in Porthleven she also hopes to be working for another jewellery designer.

“As a designer and artist my senses are my tools, particularly my haptic and visual understanding. I focus on the reasons for the things I make and the emotional attachments I have to them, so I am able to be creative in a way that fulfils my individuality.

I enjoy the accuracy of mathematics in design and as I have found in my latest project, its ability to be unpredictable. Marine life and in particular corals have offered up a new route of exploration, where geometry plays an intrinsic role in the way these creatures develop and grow with an organic appearance.  This geometric formula is an example of a hyperbolic plane.”

Education

2012-2013 Truro College – BA Silversmithing & Jewellery

2010-2012 Truro College –FdA Silversmithing & Jewellery

2009-2010 Colchester Institute – BTEC National Diploma Art & Design

Professional experience

2010- present – Studio jeweller/artist

Exhibitions

2011- Lemon Quay Truro
2011- The contemporary craft festival -Bovey Tracey
2011 – Cornwall design fair -Trereife

2012- Lemon Quay Truro
2012 The contemporary craft festival -Bovey Tracey

2013- Lemon Quay Truro
2013 -The contemporary craft festival – Bovey Tracey
2013- London New Designers

Outlets

Porthleven jewellery workshop