Turtle Geometry No 2
Galerie
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.
Formel
- \varphi_{i+1} = \varphi_i + 36° \cdot i^4-180°
Turtle Object No 45
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 72° \cdot i^4-180°
Turtle Object No 46
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 108° \cdot i^4-180°
Turtle Object No 47
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 30° \cdot i^4-180°
Turtle Object No 48
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 150° \cdot i^4-180°
Turtle Object No 49
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 11.25° \cdot i^4-180°
Turtle Object No 50
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 10° \cdot i^4-180°
Turtle Object No 51
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 9° \cdot i^4-180°
Turtle Object No 52
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 4.5° \cdot i^4-180°
Turtle Object No 53
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 31.5° \cdot i^4-180°
Turtle Object No 54
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 58.5° \cdot i^4-180°
Turtle Object No 55
Lizenz CC BY-NC-SA-3.0
Turtle Object No 56
Lizenz CC BY-NC-SA-3.0
Turtle Object No 57
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 3.75° \cdot i^4-180°
Turtle Object No 58
Lizenz CC BY-NC-SA-3.0
Turtle Object No 59
Lizenz CC BY-NC-SA-3.0
Turtle Object No 60
Lizenz CC BY-NC-SA-3.0
Turtle Object No 61
Lizenz CC BY-NC-SA-3.0
Turtle Object No 62
Lizenz CC BY-NC-SA-3.0
Turtle Object No 63
Lizenz CC BY-NC-SA-3.0
Turtle Object No 64
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 20° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 65
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 18° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 66
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 18° \cdot \left( 2i^2 + i^4 \right) -180°
Turtle Object No 67
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 10° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 68
Lizenz CC BY-NC-SA-3.0
Formel
- \varphi_{i+1} = \varphi_i + 9° \cdot \left( i^2 + i^4 \right) -180°
Turtle Object No 69
Lizenz CC BY-NC-SA-3.0
Turtle Object No 70
Lizenz CC BY-NC-SA-3.0
