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


r === 1/2 d

r === moonradius scale

r === 1/2 c pi^-1

r === 1/2 pi^-1 res^-1 width

r === 1/2 pi^-1 pixelsize^-1 width

moonradius === 1/2 d scale^-1

moonradius === r 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 === d pi res

width === 2 pi r res

width === 2 moonradius pi res scale

width === c pixelsize

pixelsize === res

pixelsize === c^-1 width

pixelsize === d^-1 pi^-1 width

pixelsize === 1/2 pi^-1 r^-1 width

pixelsize === 1/2 moonradius^-1 pi^-1 scale^-1 width

scale === 1/2 d moonradius^-1

scale === moonradius^-1 r

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 === c d^-1

pi === d^-1 res^-1 width

pi === d^-1 pixelsize^-1 width

pi === 1/2 c r^-1

pi === 1/2 c moonradius^-1 scale^-1

d === 2 r

d === 2 moonradius scale

d === c pi^-1

d === pi^-1 res^-1 width

d === pi^-1 pixelsize^-1 width

res === pixelsize

res === c^-1 width

res === d^-1 pi^-1 width

res === 1/2 pi^-1 r^-1 width

res === 1/2 moonradius^-1 pi^-1 scale^-1 width

c === res^-1 width

c === d pi

c === pixelsize^-1 width

c === 2 pi r

c === 2 moonradius pi scale

Evaluated result:

Sym	Symbolic?	Value
c =	c
d =	d
moonradius =	moonradius
pi =	pi
pixelsize =	pixelsize
r =	r
res =	res
scale =	scale
width =	width

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r = 1/2 d
  = 
1/2 d



r = moonradius scale
  = 
moonradius scale



r = 1/2 c pi^-1
  = 
0.15915494309189533579 c



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 = 1/2 d scale^-1
           = 
1/2 d scale^-1



moonradius = r scale^-1
           = 
r 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 = d pi res
      = 
31415.92653589793238 m^-1 d pixels



width = 2 pi r res
      = 
62831.85307179586476 m^-1 pixels r



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 = d^-1 pi^-1 width
          = 
458.36623610465856708 d^-1 pixels



pixelsize = 1/2 pi^-1 r^-1 width
          = 
229.18311805232928354 pixels r^-1



pixelsize = 1/2 moonradius^-1 pi^-1 scale^-1 width
          = 
229.18311805232928354 moonradius^-1 pixels scale^-1



scale = 1/2 d moonradius^-1
      = 
1/2 d moonradius^-1



scale = moonradius^-1 r
      = 
moonradius^-1 r



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 = c d^-1
   = 
c d^-1



pi = d^-1 res^-1 width
   = 1440 d^-1 pixels (10000 m^-1 pixels)^-1
   = 
18/125 m d^-1



pi = d^-1 pixelsize^-1 width
   = 
1440 d^-1 pixels pixelsize^-1



pi = 1/2 c r^-1
   = 
1/2 c r^-1



pi = 1/2 c moonradius^-1 scale^-1
   = 
1/2 c moonradius^-1 scale^-1



d = 2 r
  = 
2 r



d = 2 moonradius scale
  = 
2 moonradius scale



d = c pi^-1
  = 
0.31830988618379067158 c



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 = d^-1 pi^-1 width
    = 
458.36623610465856708 d^-1 pixels



res = 1/2 pi^-1 r^-1 width
    = 
229.18311805232928354 pixels r^-1



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 = d pi
  = 
3.141592653589793238 d



c = pixelsize^-1 width
  = 
1440 pixels pixelsize^-1



c = 2 pi r
  = 
6.283185307179586476 r



c = 2 moonradius pi scale
  = 
6.283185307179586476 moonradius scale