Painting with Diophantine Equations
갤러리
Painting with Diophantine Equations
이 그림은 디오판토스 방정식 xl + ym = zn 의 해를 이용해서 생성하였습니다. 사진에 보이는 검은 점들은 x-y 평면에서의 해를 표시합니다. 함수 fi(x,y) 는 점 i에 할당되어 있고 또한 결합되어 있습니다. 이 함수들은 다채로운 색을 가진 등고선을 형성합니다.
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y1z2_200smooth_ohtrilo.png?itok=SW7bLGZQ)
공식
- x^2 + y = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z2_200smooth_ohtrilo1.png?itok=_s06fn6l)
공식
- x^2 + y^2 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z2_200smooth_ohtrilo3.png?itok=556M61hX)
공식
- x^2 + y^2 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z3_200smooth_ohtrilo.png?itok=qOL27gtu)
공식
- x^2 + y^2 = z^3
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_100smooth_ohtril3.png?itok=s-JMRCHl)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_200smooth_ohtrilo2.png?itok=SlcWYfxz)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_200smooth_ohtrilo4.png?itok=LB89EJpA)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_300smooth_ohtril01.png?itok=dAKXYjeq)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_400smooth_ohtrilo6.png?itok=Qnx6eKXu)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_400smooth_ohtrilo7.png?itok=ri7bgrEj)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y2z4_400smooth_ohtrilo8.png?itok=ex07w39T)
공식
- x^2 + y^2 = z^4
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x2y3z2_200smooth_ohtrilo.png?itok=sMKpn5AG)
공식
- x^2 + y^3 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x3y1z2_200smooth.png?itok=jPsamNSM)
공식
- x^3 + y = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x3y3z2_200.png?itok=byDjw0xU)
공식
- x^3 + y^3 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x3y3z2_200smooth.png?itok=dMojP7Sf)
공식
- x^3 + y^3 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x4y2z2_200smooth_ohtrilo.png?itok=y8a1_rmt)
공식
- x^4 + y^2 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x4y2z2_200smooth_ohtrilo2.png?itok=ONfRnqDZ)
공식
- x^4 + y^2 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x4y3z2_200smooth_ohtrilo.png?itok=2aFfnxdr)
공식
- x^4 + y^3 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x4y4z3_1000smooth_ohtrilo4.png?itok=-09bI4S_)
공식
- x^4 + y^4 = z^3
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x4y4z3_1000smooth_ohtrilo5.png?itok=Va-C77Gk)
공식
- x^4 + y^4 = z^3
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x6y4z2_200smooth_ohtrilo.png?itok=jwX1DjNd)
공식
- x^6 + y^4 = z^2
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/x6y4z2_200smooth_ohtrilo3.png?itok=UBIWiRMf)
공식
- x^6 + y^4 = z^2