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A flickering candle rendered using implicitplot



From the 2023 Maple Conference Art Gallery - People's Choice Vote Winner

Using Implicit equation in Cartesian space can yield 3D graphs of equation that form an interesting work of art, because Implicit equations can form closed 3D curves. Based on this I can create a closed 3D curve object that forms a Candle, I created this object using a single Implicit equation, in the equation I added a parameter so that the graph can display an animation of the movement of the candle flame.

Originally described in a Mapleprimes post: https://www.mapleprimes.com/posts/220466-Plots-Using-Only-Single-Implicit-Functions


 

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EQUATION CREATED BY DHIMAS MAHARDIKA

FROM SEMARANG CITY, INDONESIA

 

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with(plots)
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animate(implicitplot3d, [(abs(sqrt(x^2+z^2)+.25*(y+1.62))+abs(sqrt(x^2+z^2)-.25*(y+1.62))-.75)*(2*(x^2+z^2)-(1/15)*sin(3*sqrt(y))^2-.12*x*sin(3*y-a)+y^200+0.7e-2)*(abs(sqrt(x^2+z^2)+.1*(y+0))+abs(sqrt(x^2+z^2)-.1*(y+0))-0.59e-1) = 0, x = -1 .. 1, y = -3.25 .. 1.2, z = -1 .. 1, numpoints = 100000], a = 0 .. 10, scaling = constrained, style = surface, color = "DarkRed")

 

 
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Download 3D_Candle.mw
animation conference implicit

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