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Formula: spring festival couplet 3D Printer File Image 1
Formula: spring festival couplet 3D Printer File Image 2
Formula: spring festival couplet 3D Printer File Image 3
Formula: spring festival couplet 3D Printer File Thumbnail 1
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Formula: spring festival couplet 3D Printer File Thumbnail 3

Formula: spring festival couplet

JustinSDK avatarJustinSDK

July 18, 2017

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Description

In Taiwan, 春 means spring and we hang couplets with the word around the house during the lunar new year.

Try to search google for the following formula:

x^4+y^4+100/(x^4+(2y-2)^4+(2y-1)^2)+100/(x^4+(2y+2)^4+(2y+1)^2)-1/((y+3)^4+(x/15)^4)-1/((y+4)^4+(x/15)^4)-1/((y+5)^4+(x/15)^4)-1/(4(x+y+4)^4+((x-y+1)/5)^4)-100^16/(((x-4)^2+(y+5)^2-13)^2+((x-19)^2+(y+12)^2-400)^2)^16-25 

I found this amazing formula on "如何用方程式寫春聯" and tried to made an printable version. The function in OpenSCAD is:

function f(x, y) = pow(x, 4) + pow(y, 4) + 100 / (pow(x, 4) + pow(2 * y - 2, 4) + pow(2 * y - 1, 2)) + 100 / (pow(x, 4) + pow(2 * y + 2, 4) + pow(2 * y + 1, 2)) - 1 / (pow(y + 3, 4) + pow(x / 15, 4)) - 1 / (pow(y + 4, 4) + pow(x / 15, 4)) - 1 / (pow(y + 5, 4) + pow(x / 15, 4)) - 1 / (4 * pow((x + y + 4), 4) + pow((x - y + 1) / 5, 4)) - pow(100, 16) / pow((pow(pow(x - 4, 2) + pow(y + 5, 2) - 13, 2) + pow(pow(x - 19, 2) + pow(y + 12, 2) - 400, 2)), 16) - 25;

License:

Creative Commons - Attribution - Non-Commercial - Share Alike

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