Islamic Geometric Ornaments in Istanbul
- Preface ………. 3
- Introduction ………. 5
- A glimpse into the past ………. 8
- Where is mathematics? ………. 13
- A simple example ………. 20
- Regular polygons ………. 25
- On an equilateral triangle, regular hexagon and regular dodecagon ……….. 27
- Construction of an equilateral triangle from a segment ………. 28
- Construction of a regular hexagon from a segment ………. 28
- Construction of an equilateral triangle inscribed in a circle ………. 29
- Construction of a regular hexagon inscribed in a circle ………. 29
- Construction of a regular dodecagon inscribed in a circle ………. 30
- On a square, an octagon and hexadecagon ……… 32
- Construction of a square with a given side ……… 32
- Construction of a regular octagon with a given side ……. 32
- Construction of a square inscribed in a circle ………. 33
- Construction of a hexadecagon inscribed in a circle ………. 33
- On a regular pentagon and a regular decagon ……… 34
- Construction of a regular pentagon inscribed in a circle ………. 35
- Construction of a regular decagon inscribed in a circle ……… 36
- On some odd sided regular polygons ………. 37
- Construction of a regular heptagon ………. 37
- Construction of a regular enneagon ………. 38
- Construction of a regular hendecagon inscribed in a circle ……… 40
- In the labyrinth of grids and stars ………. 41
- Construction of a double star ornament ………. 45
- A tour through Istanbul ……… 48
- Walk 1: The Sultan Ahmed Mosque ……… 48
- Walk 2: The Great Hagia Sophia ……… 63
- Walk 3: The Şehzade Mosque or the Prince’s Mosque …….. 70
- Walk 4: The tomb of Mahmut Paşa …….. 85
- Walk 5: Some hidden treasures ……… 90
- Where to go from here? ……… 109
- Appendix: Sketchpad and geometric ornament design ………. 115
- Custom tools in Sketchpad ………. 115
- A few hints on using Sketchpad in creating geometric ornaments …….. 118
- Literature ………. 120
- Internet Resources ………. 120