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