Tessellations with Stars and Rosettes: Practical Constructions with Interactive Geometry Software

Description

Contents 1: Introduction 2: Preliminaries 2.1 Isometries 2.2 Tessellations 2.2.1 Periodic Tessellations 2.2.2 Ornamentation with Regular Stars and Rosettes 3: Regular Stars, Rosettes, and Tessellations with Stars and Rosettes 3.1 Introduction 3.2 Regular Stars 3.2.1 Convergent, Parallel, and Divergent Stars 3.2.2 Construction of Regular Stars 3.2.3 Ornamentation of a Star 3.2.4 Visual Properties of Stars 3.2.5 Coloring of a Star 3.2.6 Ornamentation of the Exterior of a Regular Star 3.3 Rosettes 3.3.1 Convergent, Parallel, and Divergent Rosettes 3.3.2 The Shape of the Petals 3.3.3 Regular, Standard, and Ideal Rosettes 3.3.4 Construction of n-Pointed Rosettes 3.3.4.1 General Construction 3.3.4.2 Construction of Regular Rosettes 3.3.4.3 Construction of Standard Rosettes 3.3.4.4 Construction of Ideal Rosettes 3.3.5 Visual Properties of Rosettes 3.3.6 Ornamentation of a Rosette 3.3.7 Coloring of a Rosette 3.4 Tessellations with Stars and Rosettes 3.4.1 Determination of the Repeat Unit and, if Necessary, the Base Unit 3.4.2 Construction of Tessellations with Stars and Rosettes Using the Radial Extension Method 4: Design of Tessellations with Stars and Rosettes 4.1 Introduction 4.1.1 Charles V Ceiling Room, Royal Alcazar, Seville, Spain 4.1.2 Nasrid Tripod Fountain, Alhambra, Granada, Spain 4.1.3 Tash Hauli Palace Complex, Khiva, Uzbekistan 4.1.4 Court of the Myrtles, Alhambra, Granada, Spain 4.1.5 Nasrid Palace, Alhambra Museum, Granada, Spain 4.1.6 Royal Alcazar, Seville, Spain 4.1.7 Bibi-Khanum Mosque, Samarkand, Uzbekistan 4.1.8 Shah-i Zinda, Samarkand, Uzbekistan 4.1.9 Friday Mosque, Isfahan, Iran 4.1.10 Akbar’s Mausoleum, Sikandra, India 4.1.11 Al-Maridani Mosque, Cairo, Egypt 4.1.12 Bibi-Khanum Mosque, Samarkand, Uzbekistan 4.1.13 Friday Mosque, Yazd, Iran 4.1.14 Abdullah Khan Madrasa, Bukhara, Uzbekistan 4.1.15 Fatima’s Haram, Qom, Iran 4.1.16 Masjid-i-Jami, Varamin, Iran 4.1.17 Jameh Mosque, Kerman, Iran 4.1.18 Hall of Kings, Alhambra, Granada, Spain 4.1.19 Bibi Khanum Mosque, Samarkand, Uzbekistan 4.1.20 Qalawun Mausoleum, Cairo, Egypt 4.1.21 Hot Room, Bath of Comares, Alhambra, Granada, Spain 4.1.22 Mashhad al-Imam Yahya ibn al-Qasim, Mosul, Iraq 4.1.23 Tomb of I’timād-ud-Daulah, Agra, India 4.1.24 Mosaic of the Alhambra Museum, Granada, Spain 4.1.25 Ulugh Beg Madrasa, Samarkand, Uzbekistan 4.1.26 Ahmad ibn Tulun Mosque, Cairo, Egypt 4.1.27 Mazar of Sachal Sarmast, Khairpur, Pakistan 4.1.28 Hudavent tomb, Nigde, Turkey 4.1.29 Alhambra, Granada, Spain 4.1.30 Kok Gumbaz Mosque, Shahrisabz, Uzbekistan 4.1.31 Alhambra Museum, Granada, Spain 4.1.32 Shah-i Zinda, Samarkanda, Uzbekistan 4.1.33 Amir Azbek al-Yusufi, Cairo, Egypt 4.1.34 Sabil wa Kuttab al-Sultan Qaytbay, Cairo, Egypt 4.1.35 Ali-Qapu Palace, Isfahan, Iran 4.1.36 Panel 44 of the Topkapı Scroll, Topkapı Palace museum, Istanbul, Turkey 4.1.37 Mosque of Qeycoun, Cairo, Egypt 4.1.38 Masjid Suleyman Pasha, Cairo, Egypt 4.1.39 Mihrab of the Great Mosque, Damascus, Syria 4.1.40 Marbel Panel, Great Mosque, Damascus, Syria 4.1.41 Al-Maridani Mosque, Cairo, Egypt 4.1.42 Gur-e-Amir Mausoleum, Samarkand, Uzbekistan 4.1.43 Attarine Medersa, Fez, Morocco 4.1.44 Al-Muayyad Mosque, Cairo, Egypt 4.1.45 Abd al-Ghani al-Fakhri mosque, Cairo, Egypt 4.1.46 Sultan Barsbay Funerary Complex, Cairo, Egypt 4.1.47 Niche in the Comares Palace, Alhambra, Granada, Spain 4.1.48 Two Sisters Room, Alhambra, Granada, Spain 4.1.49 Madrasa al-Bu’inaniya, Fes, Morocco 4.1.50 Balcony of Lindaraja, Alhambra, Granada, Spain Annotated Bibliography and Webography Further Reading