desmos-graphs/icepalace.desmos at main · johnzhou721/desmos-graphs · GitHub

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settings @{
  randomSeed: "795ce8fd8106cdaf61bc82c8ec5b2d7a",
  viewport: @{
    xmin: -757.8079099235362,
    xmax: 815.1372581625045,
    ymin: -176.00765586023158,
    ymax: 982.2399616137079,
  },
}

I_ceCastle(x) =
  {
    -2.4 <= x <= 0: 3 * tan(x + 1),
    x <= -2.4: 3 * sec(-2.4 + 1) ^ 2 * (x - -2.4) + 3 * tan(-2.4 + 1),
    x >= 2.4:
    -3 * sec(-2.4 + 1) ^ 2 * (x - 2.4) + 3 * tan(-2.4 + 1) * {x >= 2.4},
    3 * tan(-x + 1)
  } @{ color: "#000000", hidden: true }

f_f(x) = c * I_ceCastle((x - a) / d) + b @{ color: "#2d70b3", hidden: true }

c = [68, 24, 40, 40, 37, 14, 50, 15, 15, 18, 18, 18, 53, 53] @{
  color: "#388c46",
  hidden: true,
}

polygon((-3000, 2000), (3000, 2000), (3000, -2000), (-3000, -2000)) @{
  color: "#000000",
  fill: 1,
}

y <= f_f(x) @{
  color: C_olor2,
  lines: @{ opacity: 0.7, width: 4 },
  fill: 2 ^ -99,
}

"Enable next line for actual shapes"

y <= -100 @{ color: "#000000", lines: @{ width: 0 }, fill: 1 }

"We only outline outside... so the next line basically hides the lines that went inside at the last line.  But the opacity is 0.4, so the inner parts still kind of glow."

y <= f_f(x) @{ color: "#000000", lines: @{ width: 0 }, fill: 0.55 }

-100 <= y <= f_f(x) @{
  color: C_olor,
  hidden: true,
  lines: @{ width: 0 },
  fill: 0.7,
}

a = [0, 0, 0, -83, 83, 0, 0, 0, -41, 41, -116, 116, -78, 78] @{
  color: "#6042a6",
  hidden: true,
}

d = [10, 74, 66, 6, 6, 55, 32, 15, 5, 5, 5, 5, 6, 6] @{
  color: "#000000",
  hidden: true,
}

b = [605, 169, 213, 171, 171, 313, 281, 553, 493, 493, 216, 216, 460, 460] @{
  color: "#c74440",
  hidden: true,
}

I_nt(t, a, b) = a + t(b - a) @{ color: "#000000" }

C_olor =
  hsv(
    I_nt([0, 1 / length(a) ... 1], 267, 203),
    I_nt([0, 1 / length(a) ... 1], 0.5, 0.72) + 0.16,
    1
  ) @{ color: "#c74440" }

C_olor2 =
  hsv(
    I_nt([0, 1 / length(a) ... 1], 267, 203),
    I_nt([0, 1 / length(a) ... 1], 0.5, 0.72) - 0.3,
    1
  ) @{ color: "#6042a6" }

folder "Designer" {
  table {
    a = [] @{ color: "#c74440", hidden: true }

    b = [] @{ color: "#2d70b3", hidden: true }

    c = [] @{ color: "#388c46", hidden: true }

    d = [] @{ color: "#6042a6", hidden: true }
  }

  S_tampMid =
    a -> join(a, 0), b -> join(b, B), c -> join(c, C), d -> join(d, D) @{
    color: "#c74440",
  }

  S_tampMidPre =
    a -> join(0, a), b -> join(B, b), c -> join(C, c), d -> join(D, d) @{
    color: "#388c46",
  }

  S_tampSym =
    a -> join(a, [A, -A]),
    b -> join(b, [B, B]), c -> join(c, [C, C]), d -> join(d, [D, D]) @{
    color: "#c74440",
  }

  S_tampSymPre =
    a -> join([A, -A], a),
    b -> join([B, B], b), c -> join([C, C], c), d -> join([D, D], d) @{
    color: "#6042a6",
  }

  "To use designer, enable 3 lines below:"

  y = C * I_ceCastle((x - A) / D) + B * {y >= 0} @{
    color: "#c74440",
    hidden: true,
    fill: 1,
  }

  (A, B) @{ color: "#c74440", hidden: true }

  (A + D, B + C) @{ color: "#000000", hidden: true }

  C = 68 @{ color: "#c74440", hidden: true, slider: @{ min: 0, max: 205 } }

  D = 10 @{ color: "#2d70b3", hidden: true, slider: @{ min: 0, max: 3480 } }

  B = 253 @{
    color: "#000000",
    hidden: true,
    slider: @{ min: -67.4, max: 2890 },
  }

  A = -516 @{
    color: "#6042a6",
    hidden: true,
    slider: @{ min: -1660, max: 1900 },
  }
}