#version 3.7;

global_settings {
  assumed_gamma 1.0
  max_trace_level 6
}

background { color rgb <0.97, 0.97, 1.0> }

// ---------------- Camera ----------------
camera {
  location  <0, 0.25, -4.2>
  look_at   <0, 0.15,  0>
  angle 32
}

// ---------------- Lights (warm, soft shadows) ----------------
light_source {
  <-3.5, 4.5, -4.0>
  color rgb <1.00, 0.92, 0.80>*1.05
  area_light <1.2,0,0>, <0,0,1.2>, 5, 5
  adaptive 1
  jitter
}

light_source {
  <3.5, 2.5, -3.0>
  color rgb <1.00, 0.90, 0.80>*0.45
  area_light <1.0,0,0>, <0,0,1.0>, 4, 4
  adaptive 1
  jitter
}

// ---------------- Ground ----------------
plane {
  y, -1.25
  pigment { color rgb <0.92, 0.92, 0.94> }
  finish  { diffuse 0.85 specular 0.06 roughness 0.08 }
}

// ---------------- Heart (implicit from equation) ----------------
// Equation from image: x^2 + ( (5y/4) - sqrt(|x|) )^2 = 1
// We build an implicit surface F(x,y,z)=0 and extrude along z by adding z^2/a^2
// F = x^2 + ( (5y/4) - sqrt(|x|) )^2 + (z^2)/(t^2) - 1 = 0

#declare HeartThickness = 0.35;

isosurface {
  function {
    x*x
    + pow( (5*y/4) - sqrt(abs(x)), 2 )
    + (z*z)/(HeartThickness*HeartThickness)
    - 1
  }

  contained_by { box { <-1.35, -1.40, -0.70>, <1.35, 1.35, 0.70> } }

  max_gradient 6
  accuracy 0.0015

  pigment { color rgb <0.86, 0.14, 0.20> }
  finish  { diffuse 0.75 specular 0.25 roughness 0.035 }

  // Slightly lift above ground and scale to read nicely
  scale <1.25, 1.25, 1.0>
  translate <0, -0.05, 0>
  rotate <0, 18, 0>
}