# Frink System Solver

 Equations (one per line): // Globe solver for 3-D printing d = 2 r c = pi d pixelsize = width / c pixelsize = res scale = r / moonradius Solve for:  (leave blank for all) Show output as: Default Raw Frink notation MathML Evaluate result numerically

Solution:

``` r === 1/2 d r === 1/2 c pi-1 r === moonradius scale r === 1/2 pi-1 res-1 width r === 1/2 pi-1 pixelsize-1 width moonradius === r scale-1 moonradius === 1/2 d scale-1 moonradius === 1/2 c pi-1 scale-1 moonradius === 1/2 pi-1 res-1 scale-1 width moonradius === 1/2 pi-1 pixelsize-1 scale-1 width width === c res width === 2 pi r res width === d pi res width === 2 moonradius pi res scale width === c pixelsize pixelsize === res pixelsize === c-1 width pixelsize === 1/2 pi-1 r-1 width pixelsize === d-1 pi-1 width pixelsize === 1/2 moonradius-1 pi-1 scale-1 width scale === moonradius-1 r scale === 1/2 d moonradius-1 scale === 1/2 c moonradius-1 pi-1 scale === 1/2 moonradius-1 pi-1 res-1 width scale === 1/2 moonradius-1 pi-1 pixelsize-1 width pi === 1/2 c r-1 pi === c d-1 pi === 1/2 c moonradius-1 scale-1 pi === 1/2 r-1 res-1 width pi === 1/2 pixelsize-1 r-1 width d === 2 r d === c pi-1 d === 2 moonradius scale d === pi-1 res-1 width d === pi-1 pixelsize-1 width res === pixelsize res === c-1 width res === 1/2 pi-1 r-1 width res === d-1 pi-1 width res === 1/2 moonradius-1 pi-1 scale-1 width c === res-1 width c === 2 pi r c === pixelsize-1 width c === d pi c === 2 moonradius pi scale ```

Evaluated result:

SymSymbolic?Value
c =
d =
pi =
pixelsize =
r =
res =
scale =
width =

(Optional) Show result in units:

``` r = 1/2 d  = 1/2 d r = 1/2 c pi-1  = 0.15915494309189533579 c r = moonradius scale  = moonradius scale r = 1/2 pi-1 res-1 width  = 229.18311805232928354 pixels (10000 m-1 pixels)-1  = 0.022918311805232928354 m r = 1/2 pi-1 pixelsize-1 width  = 229.18311805232928354 pixels pixelsize-1 moonradius = r scale-1           = r scale-1 moonradius = 1/2 d scale-1           = 1/2 d scale-1 moonradius = 1/2 c pi-1 scale-1           = 0.15915494309189533579 c scale-1 moonradius = 1/2 pi-1 res-1 scale-1 width           = 229.18311805232928354 pixels (10000 m-1 pixels)-1 scale-1           = 0.022918311805232928354 m scale-1 moonradius = 1/2 pi-1 pixelsize-1 scale-1 width           = 229.18311805232928354 pixels pixelsize-1 scale-1 width = c res      = 10000 m-1 c pixels width = 2 pi r res      = 62831.85307179586476 m-1 pixels r width = d pi res      = 31415.92653589793238 m-1 d pixels width = 2 moonradius pi res scale      = 62831.85307179586476 m-1 moonradius pixels scale width = c pixelsize      = c pixelsize pixelsize = res          = 10000 m-1 pixels pixelsize = c-1 width          = 1440 c-1 pixels pixelsize = 1/2 pi-1 r-1 width          = 229.18311805232928354 pixels r-1 pixelsize = d-1 pi-1 width          = 458.36623610465856708 d-1 pixels pixelsize = 1/2 moonradius-1 pi-1 scale-1 width          = 229.18311805232928354 moonradius-1 pixels scale-1 scale = moonradius-1 r      = moonradius-1 r scale = 1/2 d moonradius-1      = 1/2 d moonradius-1 scale = 1/2 c moonradius-1 pi-1      = 0.15915494309189533579 c moonradius-1 scale = 1/2 moonradius-1 pi-1 res-1 width      = 229.18311805232928354 moonradius-1 pixels (10000 m-1 pixels)-1      = 0.022918311805232928354 m moonradius-1 scale = 1/2 moonradius-1 pi-1 pixelsize-1 width      = 229.18311805232928354 moonradius-1 pixels pixelsize-1 pi = 1/2 c r-1   = 1/2 c r-1 pi = c d-1   = c d-1 pi = 1/2 c moonradius-1 scale-1   = 1/2 c moonradius-1 scale-1 pi = 1/2 r-1 res-1 width   = 720 pixels (10000 m-1 pixels)-1 r-1   = 9/125 m r-1 pi = 1/2 pixelsize-1 r-1 width   = 720 pixels pixelsize-1 r-1 d = 2 r  = 2 r d = c pi-1  = 0.31830988618379067158 c d = 2 moonradius scale  = 2 moonradius scale d = pi-1 res-1 width  = 458.36623610465856708 pixels (10000 m-1 pixels)-1  = 0.045836623610465856708 m d = pi-1 pixelsize-1 width  = 458.36623610465856708 pixels pixelsize-1 res = pixelsize    = pixelsize res = c-1 width    = 1440 c-1 pixels res = 1/2 pi-1 r-1 width    = 229.18311805232928354 pixels r-1 res = d-1 pi-1 width    = 458.36623610465856708 d-1 pixels res = 1/2 moonradius-1 pi-1 scale-1 width    = 229.18311805232928354 moonradius-1 pixels scale-1 c = res-1 width  = 1440 pixels (10000 m-1 pixels)-1  = 18/125 m c = 2 pi r  = 6.283185307179586476 r c = pixelsize-1 width  = 1440 pixels pixelsize-1 c = d pi  = 3.141592653589793238 d c = 2 moonradius pi scale  = 6.283185307179586476 moonradius scale ```

View source of this FSP page or the transformation rules that solve these equations.

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