Turtle Geometry No 2
galeri
Turtle Geometry No 2
Turtle geometry is applied to create different kinds of beautiful symmetric objects looking like stars or snowflakes. The change of inclination angles of lines follows some prescribed rules. Lines are combined with special functions to generate colorful surroundings.
Formül
- \varphi_{i+1} = \varphi_i + 36° \cdot i^4-180°
Turtle Object No 45
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 72° \cdot i^4-180°
Turtle Object No 46
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 108° \cdot i^4-180°
Turtle Object No 47
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 30° \cdot i^4-180°
Turtle Object No 48
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 150° \cdot i^4-180°
Turtle Object No 49
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 11.25° \cdot i^4-180°
Turtle Object No 50
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 10° \cdot i^4-180°
Turtle Object No 51
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 9° \cdot i^4-180°
Turtle Object No 52
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 4.5° \cdot i^4-180°
Turtle Object No 53
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 31.5° \cdot i^4-180°
Turtle Object No 54
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 58.5° \cdot i^4-180°
Turtle Object No 55
Lisans CC BY-NC-SA-3.0
Turtle Object No 56
Lisans CC BY-NC-SA-3.0
Turtle Object No 57
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 3.75° \cdot i^4-180°
Turtle Object No 58
Lisans CC BY-NC-SA-3.0
Turtle Object No 59
Lisans CC BY-NC-SA-3.0
Turtle Object No 60
Lisans CC BY-NC-SA-3.0
Turtle Object No 61
Lisans CC BY-NC-SA-3.0
Turtle Object No 62
Lisans CC BY-NC-SA-3.0
Turtle Object No 63
Lisans CC BY-NC-SA-3.0
Turtle Object No 64
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 20° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 65
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 18° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 66
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 18° \cdot \left( 2i^2 + i^4 \right) -180°
Turtle Object No 67
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 10° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 68
Lisans CC BY-NC-SA-3.0
Formül
- \varphi_{i+1} = \varphi_i + 9° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 69
Lisans CC BY-NC-SA-3.0
Turtle Object No 70
Lisans CC BY-NC-SA-3.0
