Fibonacci rose in textile design

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International Conference on Technics, Technologies and Education ICTTE 2014 October 30-31 2014, Yambol, Bulgaria https://sites.google.com/a/trakia-uni.bg/ictte-2014/

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International Conference on Technics, Technologies and Education ICTTE 2014, dedicated to 50th Anniversary of Higher Education in Yambol, Yambol, Bulgaria, October 30-31 2014 Международна научна конференция "Техника, технологии, образование" ICTTE 2014, посветена на 50 години висше образование в Ямбол Ямбол, България, 30-31 октомври 2014

PROCEEDINGS ISSN 1314-9474

Yambol, Bulgaria, 2014

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Editors KRASIMIRA GEORGIEVA ZLATINA KAZLACHEVA MARGARITA PEHLIVANOVA Design ZLATINA KAZLACHEVA JULIETA ILIEVA ZLATIN ZLATEV

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FASHION AND TEXTILE DESIGNAND TECHNOLOGY

CONTENTS

123 ElSayed A. ElNashar1, Hanaa H. Sidhom

1, and Zlatina Kazlacheva

2,

1Faculty of Specific

Education, Kafrelsheikh University, Egypt, 2Faculty of Technics and Technologies of

Yambol, Trakia University. Bulgaria. NEW APPROACH OF TECHNICAL CRITICISM OF EGYPTIAN ANCIENT CLOTHES WITH VITRUVIUS THEORS FOR FASHION DESIGN.

144 Arafa A. Nasef1, & Elsayed A. Elnashar

2,

1Faculty of Engineering, Khafrelsheikh University,

Egypt, 2Faculty of Specific Education, Khafrelsheikh University, Egypt.

SOFT SET THEORY AND IT`S APPLICATION IN DECISION MAKING FOR TEXTILES AND APPAREL MARKTING.

152 ElSayed A. ElNashar Faculty of Specific Education, Kafrelsheikh University, Egypt. SMART SUPPORT SYSTEM FOR FASHION TRENDS OF KNITWEAR.

164 Elsayed Elnashar1, Jakleen Boshra Yoakim

2 & Masoud Fathy Abdelmaged

2,

1Faculty of

Specific Education, Kafrelsheikh University, Egypt, 2Ministry of Culture, Egypt.

UTILIZATION OF AESTHETICS VALUE OF TALLY WOVEN FABRIC STRUCTURES IN FASHION TRENDS.

176 ElSayed A. ElNashar1, Galina Bashkova

2,

1Faculty of Specific Education, Kafrelsheikh

University, Egypt, 2Textile Institute, Ivanovo State Polythechical University, Russia.

COMFORT OF THERMAL INSULATIUON OF BULKY WOVEN FABRICS FOR CLOTHES. 192 Fady B. M. Hanna

1, Victor Kuzmichev

2 & ElSayed A. ElNashar

1,

1Faculty of Specific

Education, Kafrelsheikh University, Egypt, 2Textile Institute, Ivanovo State Polythechical

University, Russia. INNOVATIVE OF FRESCOES IN SUZDAL KREMLIN CATHEDRAL FOR FASHION TRENDS BY USING CAD SYSTEMS.

205 Ina Trifonova, National Academy of Arts, Sofia, Bulgaria. ARCHITECTURAL FASHION AS A HERALD OF NEW TECHNOLOGIES AND INNOVATIONS OF THE FUTURE. GEOMETRY, COLLABORATION AND INTERDISCIPLINARY APPROACH IN FASHION DESIGN IN THE ХХI CENTURY.

211 Zlatina Kazlacheva, Faculty of Technics and Technologies of Yambol, Trakia University, Bulgaria. FIBONACCI ROSE IN FASHION DESIGN.

218 Julieta Ilieva, Faculty of Technics and Technologies of Yambol, Trakia University, Bulgaria. FIBONACCI ROSE IN TEXTILE DESIGN.

230 Галя Долапчиева, Светослава Яновска, Катя Бюзюкева, Факултет "Техника и технологии", Тракийски университет, България. ВИЗУАЛИЗАЦИЯ НА ТЕХНОЛОГИЧНИТЕ ПРОЦЕСИ В ОБУЧЕНИЕТО НА СТУДЕНТИТЕ НА ВАРИАНТИ ЯКА-РЕВЕР.

236 Диана Балабанова1, Румен Русев2

& Красимир Деянов1,

1Факултет "Техника и технологии" - Ямбол, Тракийски университет, 2Технически университет - Габрово, България. КИНЕМАТИЧЕН АНАЛИЗ НА МЕХАНИЗМА ЗА ЗАДВИЖВАНЕ НА НОЖНИТЕ РАМКИ НА ЖАКАРДОВА МАШИНА „GROSSE EJP 4”.

242 Златин Златев, Факултет "Техника и технологии" - Ямбол, Тракийски университет - България. ОЦЕНКА НА МЕТОД ЗА ДИГИТАЛНО СКАНИРАНЕ.

251 Yousif Elhassaneen & Ashraf Hashem, Faculty of Home Economics, Minoufiya University, Shebin El-Kom, Egypt. UV-PROTECTING PROPERTIES, COLOR STRENGTH AND COLOR FASTNESS OF COTTON FABRICS DYED WITH NATURAL COLORANT AND ITS IMPROVEMENT.

264 Yousif Elhassaneen & Saly El-Ashmawy, Faculty of Home Economics, Minoufiya University, Shebin El-Kom, Egypt. PRESENCE OF CARCINOGENIC AROMATIC AMINES IN TEXTILE DYE EXTRACTS AND THEIR FATE DURING THE HANDLING AND MANIPULATION TREATMENTS.

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274 Гергана Минева, Златина Казлачева, Жулиета Илиева, Факултет "Техника и технологии" - Ямбол, Тракийски университет, България. ДИЗАЙН И МОДЕЛИРАНЕ НА ДАМСКИ РОКЛИ С ФИКСИРАНИ ДРАПЕРИИ.

283 Боряна Тончева, Жулиета Илиева, Златина Казлачева, Факултет "Техника и технологии" - Ямбол, Тракийски университет, България. ДИЗАЙН НА ДАМСКО САКО С ДЕТАЙЛИ С НЕТРАДИЦИОННА ФОРМА.

291 Петя Динева, Факултет "Техника и технологии" - Ямбол, Тракийски университет, България. ДИЗАЙН НА ПЕПЛУМИ С РАЗНООБРАЗНИ ФОРМИ ПРИ ДАМСКИТЕ РОКЛИ.

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Proceedings of ICTTE 2014 ISSN 1314-9474

218

FIBONACCI ROSE IN TEXTILE DESIGN

Julieta Ilieva

Faculty of Technics and Technologies, Trakia University Graf Ignatiev 38, 8600 Yambol, Bulgaria

mobile: +359897512012, e-mail: [email protected] Abstract: The papers presents textile design using the Fibonacci series tiling with triangles named Fibonacci rose. As a result of the use of Fibonacci rose for designing of aesthetic, beautiful and harmonic textile designs, it can be concluded that in textile design Fibonacci rose can be used in different ways of geometrical and colour combinations, and as a frame of creations of textile design elements. Keywords: Textile Design, Fibonacci Sequence, Fibonacci Series Tiling, Fibonacci Rose.

1. FIBONACCI SERIES TILING WITH TRIANGLES – FIBONACCI ROSE The proportions in Golden ratio and Fibonacci associate harmony and beauty and by this reason they are used in design. The Fibonacci numbers are the sequence of numbers defined by the linear recurrence equation

Fn = Fn-1 + Fn-2 (1) with F1 = F2 = 1. As a result of the definition (1), it is conventional to define F0 = 0. The Fibonacci numbers for n = 1, 2, ... are 1, 1, 2, 3, 5, 8, 13, 21, ... [2] Fibonacci sequence is used in the creation of geometric objects. There are some versions of Fibonacci series tiling, which are constructed with equilateral geometrical figures – squares or triangles, as the sides’ lengths are equal to the numbers of the Fibonacci series, or the lengths of the sides of the squares or equilateral triangles are each to other in proportions, which are equal to Fibonacci sequence. The version which uses equilateral triangles to form a double-spiral is shown in figure 1. [1] This tiling version is named Fibonacci rose. The paper presents textile design using the Fibonacci series tiling with triangles or Fibonacci rose.

Figure 1. Fibonacci rose

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Figure 2. Fibonacci rose with different coloring of the both spiral forms

Figure 3. Fibonacci rose with difference of coloring of triangles in the both directions

Figure 4. Double spirals formed with curved lines around the both Fibonacci rose spirals

Figure 5. Double spirals formed by circles

which are entered in Fibonacci rose triangles

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2. FIBONACCI SERIES TILING WITH TRIANGLES OR FIBONACCI ROSE IN TEXTILE

DESIGN Figures 2-5 show different pattern designs which are created on the base of Fibonacci series tiling with triangles Fibonacci rose. [3] Figures 2 and 3 present the both variants of double coloring of Fibonacci rose. In the variant which is shown in figure 2 the both spirals of Fibonacci rose are colored in different colors. In the second variant which is presented in figure 3 the triangles in the both directions are colored in different colors. Figure 4 presented a use of Fibonacci rose as a frame. The double spiral, which is designed with curved lines, is formed around the double spiral of triangles in Fibonacci rose. This model is colored in two colors too. The model shown in figure 5 is formed by a double spiral from circles. These circles are in proportions of Fibonacci sequence and they form a double spiral because they are got as entered ones in the frame of Fibonacci rose. These forms are directly used in creation of new textile designs. Figures 6 and 7 present textile designs which use motifs created on the base of the model, presented in figure 2, in which the both spirals of Fibonacci rose are colored in different colors. In figure 6 the motif uses the model in figure 2 in a form of a square. In result a textile design, which formed combination of spirals and squares, is formed. In figure 7 the both colored motif uses the model in figure 2 in a form of a quad spiral. In result a textile design with combination of spirals is formed. Figures 8 and 9 show textile designs which use motifs created on the base of the model, presented in figure 3, with different colors of triangles in both directions. In figure 8 the motif uses the model in figure 3 in a form of a square. In result a textile design, which formed combination of spirals and squares, is formed. In figure 9 the textile design is made with the help of a double mirror image motif which uses the model in figure 3 in form of squares. In result a textile design with combination from square and mirror forms is designed. Figures 10 and 11 present textile designs which use motifs created on the base of the model, shown in figure 4, in which a double curved spiral is designed around the double spiral of triangles in Fibonacci rose. In figure 10 the motif uses the model in figure 4 in a form of a quad spiral. In result a textile design with combination of spirals is formed. In figure 11 the both colored motif uses the model in figure 4 in a form of a quad spiral. In result a textile design with combination of spirals and squares is formed. Figures 12 and 13 present textile designs which use motifs created on the base of the model, presented in figure 5, with a double spiral of circles entered in the Fibonacci rose. In figure 12 the motif uses the model in figure 5 in a form of a square. In result a textile design with spirals and stylize flowers is formed. In figure 13 the both colored motif uses the model in figure 5 in a form of a square. In result a textile design with a square set in diagonal direction, which is formed by circles is designed.

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Figure 6. A textile design on the base of Fibonacci rose in which the both spirals are colored in

different colors

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Figure 7. A textile design on the base of Fibonacci rose in which the both spirals are colored in

different colors

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Figure 8. A textile design on the base of Fibonacci rose in which the triangles in the both directions are

colored in different colors

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Figure 9. A textile design on the base of Fibonacci rose in which the triangles in the both directions are

colored in different colors

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Figure 10. A textile design on the base of the curved double spiral formed around the double spiral of

Fibonacci rose

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Figure 11. A textile design on the base of the curved double spiral formed around the double spiral of

Fibonacci rose

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Figure 12. A textile design on the base on the double spiral of circles entered in Fibonacci rose

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Figure 13. A textile design on the base on the double spiral of circles entered in Fibonacci rose

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3. CONCLUSIONS As a result of the use of Fibonacci rose for designing of aesthetic, beautiful and harmonic textile designs, it can be concluded that in textile design Fibonacci rose can be used in different ways of geometrical and colour combinations, and as a frame of creations of textile design elements. The presented projects can be used in both clothing and interior textiles. 4. REFERENCES [1] Baird E. (2009). Fibonacci Series Tiling, with Triangles.

http://erkdemon.blogspot.com/2009/06/fibonacci-series-tiling-with-triangles.html. [March-April 2014].

[2] Chandra Pravin and Weisstein Eric W. "Fibonacci Number." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/FibonacciNumber.html. [March-April 2014].

[3] Kazlacheva Z. (2014). Fibonacci Rose in Fashion design. Yambol, Bulgariaq International conference on Technics, technologies and Education ICTTE 2014, October 30-31 2014, ARTTE Applied Researches in Technics, technologies and Education, Vol. 2, No. 3, 2014.

Fibonacci rose in textile design

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