Turtle Geometry
갤러리
Turtle Geometry
거북 기하(Turtle geometry, 역주: 거북이 앞으로 이동 및 회전하는 조작들만을 이용해 도형을 그리는 프로그램)가 여러 복잡한 대칭적 패턴들을 만들어 내는 데에 사용됩니다. 선들의 각도의 변화는 정해진 규칙들을 따릅니다. 선들 위에 특수함수들을 사용하여 형형색색의 배경을 칠할 수 있습니다.
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle_1705-720thick2.png?itok=twkZYAM_)
공식
- \varphi_{i+1} = \varphi_i + 170.5° \cdot i+180°
거북기하 작품 1
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle_1655-720thick5.png?itok=qjqfN3Dt)
공식
- \varphi_{i+1} = \varphi_i + 165.5° \cdot i+180°
거북기하 작품 2
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle_0715-720thick3.png?itok=TLIwkFvW)
공식
- \varphi_{i+1} = \varphi_i + 71.5° \cdot i+180°
거북기하 작품 3
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle_0055-720thick7.png?itok=F8pbMdda)
공식
- \varphi_{i+1} = \varphi_i + 5.5° \cdot i+180°
거북기하 작품 4
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle003x1_2.png?itok=ZE7drYyW)
공식
- \varphi_{i+1} = \varphi_i + 60° \cdot i^2-180°
거북기하 작품 5
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle006x1_3.png?itok=9IhQ0lRT)
공식
- \varphi_{i+1} = \varphi_i + 30° \cdot i^2-180°
거북기하 작품 6
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle006x5.png?itok=KK1e-F1A)
공식
- \varphi_{i+1} = \varphi_i + 150° \cdot i^2-180°
거북기하 작품 7
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle009x1_2.png?itok=z1N_Oz6t)
공식
- \varphi_{i+1} = \varphi_i + 20° \cdot i^2-180°
거북기하 작품 8
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle009x2.png?itok=TpGVf-TO)
공식
- \varphi_{i+1} = \varphi_i + 40° \cdot i^2-180°
![]() |
거북기하 작품 9
Turtle Geometry engages students in exploring mathematical properties visually via a simple programming language. This example shows a polygonal line consisting of a series of points connected by lines with unit length. The coordinates of each pointare calculated iteratively following simple rules.
The result is a beautiful figure with sixfold symmetry. By modification of the parameters interesting figures of different shape and symmetry are obtained.
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle009x5_2.png?itok=TKqLcxI8)
공식
- \varphi_{i+1} = \varphi_i + 100° \cdot i^2-180°
거북기하 작품 10
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle009x8.png?itok=svwQzSwT)
공식
- \varphi_{i+1} = \varphi_i + 160° \cdot i^2-180°
거북기하 작품 11
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle012x01.png?itok=O5AJy6Yr)
공식
- \varphi_{i+1} = \varphi_i + 15° \cdot i^2-180°
거북기하 작품 12
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle012x05.png?itok=m86EAc_s)
공식
- \varphi_{i+1} = \varphi_i + 75° \cdot i^2-180°
거북기하 작품 13
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle012x07.png?itok=J1eWgYF3)
공식
- \varphi_{i+1} = \varphi_i + 105° \cdot i^2-180°
거북기하 작품 14
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle014x01.png?itok=XIX00Axw)
공식
- \varphi_{i+1} = \varphi_i + 90°/7 \cdot i^2-180°
거북기하 작품 15
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle015x07.png?itok=vp2L80--)
공식
- \varphi_{i+1} = \varphi_i + 84° \cdot i^2-180°
거북기하 작품 16
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle015x11.png?itok=BXSdKxz2)
공식
- \varphi_{i+1} = \varphi_i + 132° \cdot i^2-180°
거북기하 작품 17
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle015x14.png?itok=jmwmokE0)
공식
- \varphi_{i+1} = \varphi_i + 168° \cdot i^2-180°
거북기하 작품 18
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle016x07.png?itok=-6GWOqUT)
공식
- \varphi_{i+1} = \varphi_i + 78.75° \cdot i^2-180°
거북기하 작품 19
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle018x01_3.png?itok=Ul4Riw39)
공식
- \varphi_{i+1} = \varphi_i + 10° \cdot i^2-180°
거북기하 작품 20
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle018x05_3.png?itok=IcrfIwQc)
공식
- \varphi_{i+1} = \varphi_i + 50° \cdot i^2-180°
거북기하 작품 21
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle024x01.png?itok=ZfgfAW5a)
거북기하 작품 22
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle030x01_1.png?itok=tLKdlIN8)
거북기하 작품 23
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle128x01.png?itok=53RluESC)
거북기하 작품 24
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x013.png?itok=8IN_eIRM)
거북기하 작품 25
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x017.png?itok=-JYpSaXq)
거북기하 작품 26
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x019.png?itok=oF0L9nfI)
거북기하 작품 27
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x023.png?itok=RHul9ryy)
거북기하 작품 28
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x029.png?itok=Q4oJpMJw)
거북기하 작품 29
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x031.png?itok=MHrwAl9D)
거북기하 작품 30
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x041.png?itok=TsPlIoms)
거북기하 작품 31
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x043.png?itok=vdVeCiXf)
거북기하 작품 32
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x047.png?itok=BuP3b7Fv)
거북기하 작품 33
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x049.png?itok=uVsJICOP)
거북기하 작품 34
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x053.png?itok=1uDI_pVr)
거북기하 작품 35
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x059.png?itok=PZ9zbwLO)
거북기하 작품 36
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x061.png?itok=6jLsjalg)
거북기하 작품 37
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x089.png?itok=yDiewgL9)
거북기하 작품 38
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x091.png?itok=0NMqDwC-)
거북기하 작품 39
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x097.png?itok=SocS5j71)
거북기하 작품 40
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x101.png?itok=eqyeD6jd)
거북기하 작품 41
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x137.png?itok=oiEoyvdr)
거북기하 작품 42
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x173.png?itok=y7ZXGVIx)
거북기하 작품 43
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/turtle180x179.png?itok=aTzMlsNc)
거북기하 작품 44
저작권 CC BY-NC-SA-3.0