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a/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/index.html b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/index.html new file mode 100644 index 0000000000000000000000000000000000000000..0a2ec50ac9e62100f588f5ceb5d0d187d077d46d --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/index.html @@ -0,0 +1,1587 @@ + + + + + + + + + + + Solution to Erraticism — MIT Mystery Hunt 2015 + + + + + + + + + + + + + + + + +
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Location: Machine Room
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View Puzzle
+

Solution to Erraticism

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by halftime

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Answer: I FEEL BAD FOR YOU

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+ + + +

It's a normal crossword puzzle, but the answers can be anything, not necessarily of "dictionary nature", as long as they can be clued in a semi-convincing way. Typical answers are either two words that don't necessarily go together, or one word that's been slightly modified in some way. As an additional solving aid, most of the three- and four-letter answers are ordinary, non-punny/ridiculous crossword clues. Those are a great way to get a foothold and start guessing the longer entries.

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1, 26, 37, and 54 across spell the phrase IT'S USEFUL TO GO ONE EIGHTY DEGREE FROM EACH LETTER N. Thus to get the answer we identify each letter N:

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Go 180 degrees from them:

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+
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+
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+ +

Read these letters to get the answer, IFEELBADFORYOU.

+ + +
+
+
+ + + + + + + + diff --git a/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/solution b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/solution new file mode 100644 index 0000000000000000000000000000000000000000..897979d76ec933011f22f24ca4c974be89d58ed3 --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/_solution_assets/solution @@ -0,0 +1,1587 @@ + + + + + + + + + + + Solution to Erraticism — MIT Mystery Hunt 2015 + + + + + + + + + + + + + + + + +
+
+
+
+
Location: Machine Room
+
+
+
+
+
View Puzzle
+

Solution to Erraticism

+

by halftime

+

Answer: I FEEL BAD FOR YOU

+
+
+ + + +

It's a normal crossword puzzle, but the answers can be anything, not necessarily of "dictionary nature", as long as they can be clued in a semi-convincing way. Typical answers are either two words that don't necessarily go together, or one word that's been slightly modified in some way. As an additional solving aid, most of the three- and four-letter answers are ordinary, non-punny/ridiculous crossword clues. Those are a great way to get a foothold and start guessing the longer entries.

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1, 26, 37, and 54 across spell the phrase IT'S USEFUL TO GO ONE EIGHTY DEGREE FROM EACH LETTER N. Thus to get the answer we identify each letter N:

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Go 180 degrees from them:

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Read these letters to get the answer, IFEELBADFORYOU.

+ + +
+
+
+ + + + + + + + diff --git a/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution new file mode 100644 index 0000000000000000000000000000000000000000..897979d76ec933011f22f24ca4c974be89d58ed3 --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution @@ -0,0 +1,1587 @@ + + + + + + + + + + + Solution to Erraticism — MIT Mystery Hunt 2015 + + + + + + + + + + + + + + + + +
+
+
+
+
Location: Machine Room
+
+
+
+
+
View Puzzle
+

Solution to Erraticism

+

by halftime

+

Answer: I FEEL BAD FOR YOU

+
+
+ + + +

It's a normal crossword puzzle, but the answers can be anything, not necessarily of "dictionary nature", as long as they can be clued in a semi-convincing way. Typical answers are either two words that don't necessarily go together, or one word that's been slightly modified in some way. As an additional solving aid, most of the three- and four-letter answers are ordinary, non-punny/ridiculous crossword clues. Those are a great way to get a foothold and start guessing the longer entries.

+ +
+
+
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1, 26, 37, and 54 across spell the phrase IT'S USEFUL TO GO ONE EIGHTY DEGREE FROM EACH LETTER N. Thus to get the answer we identify each letter N:

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Go 180 degrees from them:

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Read these letters to get the answer, IFEELBADFORYOU.

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+ + + + + + + + diff --git a/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution.html b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution.html new file mode 100644 index 0000000000000000000000000000000000000000..0a2ec50ac9e62100f588f5ceb5d0d187d077d46d --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2015/mit2015r013_MIT_Mystery_Hunt_2015_Erraticism/solution.html @@ -0,0 +1,1587 @@ + + + + + + + + + + + Solution to Erraticism — MIT Mystery Hunt 2015 + + + + + + + + + + + + + + + + +
+
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Location: Machine Room
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View Puzzle
+

Solution to Erraticism

+

by halftime

+

Answer: I FEEL BAD FOR YOU

+
+
+ + + +

It's a normal crossword puzzle, but the answers can be anything, not necessarily of "dictionary nature", as long as they can be clued in a semi-convincing way. Typical answers are either two words that don't necessarily go together, or one word that's been slightly modified in some way. As an additional solving aid, most of the three- and four-letter answers are ordinary, non-punny/ridiculous crossword clues. Those are a great way to get a foothold and start guessing the longer entries.

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1, 26, 37, and 54 across spell the phrase IT'S USEFUL TO GO ONE EIGHTY DEGREE FROM EACH LETTER N. Thus to get the answer we identify each letter N:

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Go 180 degrees from them:

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Read these letters to get the answer, IFEELBADFORYOU.

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+ + + +
+ +
+ + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + + +
 0 +
+
+ + + + + + +
Solution
+ + + +
+ + +   + + + +
+ +
+ +
+ +
+ + + + +
+ Reward: Item or Gold! +
+ + + + +
+ + You find lines carved into the cold limestone of the dungeon wall. + +
+
+ +
+
    +
  • +

    ∀ u with 0 < u < 1:

    + + + + + + +
    + + + + + + + { + + u + - + 5 + + , + + sin + 2 + + ( + + 2 + ⁢ + π + ⁢ + u + + ) + + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + + + + + + + + + + { + + - + 3 + + + + , + + + u + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + + + + + + + + + { + + + sin + ⁡ + ( + + 5 + ⁢ + + u + 20 + + + ) + + - + 1 + + , u + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + +
    +
    • +
+ +
+

+ As your eyes adjust, you discover more and more lines curving all around + you—in various steels, glass, tile, paint, and granite. For a + moment, you find yourself wishing Transparent Horizon were + here . . . but it’s not. +

+

+ (Note: u,v ∈ ℝ and i ∈ ℤ. + Right-click on an expression to obtain raw MathML which may be pasted + into, e.g., Mathematica.) +

+
    +
  • +

    ∀ u,v with 29/2 < u < 29/2 + 2π and 0 < v < 1:

    +
    + + { + + + + - + + 1 + 100 + + + ⁢ + + ( + + + - + + + 6 + + ⁢ + u + + + - + + 100 + ⁢ + + + tan + + - + 1 + + + ( + + + - + + + 2 + + ⁢ + u + + + + + + 3 + ⁢ + π + + + + 29 + + ) + + + + + + 9 + ⁢ + π + + + + 87 + + ) + + ⁢ + + cos + ⁡ + ( + + + ❘ + + u + - + + + 3 + ⁢ + π + + 2 + + - + + 29 + 2 + + + ❘ + + TemplateBox[List[RowBox[List["u", + "-", FractionBox[RowBox[List["3", " ", + "\[Pi]"]], "2"], "-", FractionBox["29", + "2"]]]], "Abs"] + + ) + + + , + + + + - + + 1 + 100 + + ⁢ + + ( + + + - + + + 6 + + ⁢ + u + + + - + + 100 + ⁢ + + + tan + + - + 1 + + + ( + + + - + + + 2 + + ⁢ + u + + + + + + 3 + ⁢ + π + + + + 29 + + ) + + + + + + 9 + ⁢ + π + + + + 87 + + ) + + ⁢ + + sin + ⁡ + ( + + + ❘ + + u + - + + + 3 + ⁢ + π + + 2 + + - + + 29 + 2 + + + ❘ + + TemplateBox[List[RowBox[List["u", + "-", FractionBox[RowBox[List["3", " ", + "\[Pi]"]], "2"], "-", FractionBox["29", + "2"]]]], "Abs"] + + ) + + + , + + + v + + } + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π and ∀ i with -5 ≤ i ≤ -2 or 3 ≤ i ≤ 6:

    +
    + + { + + + + + i + - + 5 + + 2 + + + + + sin + ⁡ + ( + u + ) + + + , + + 2 + ⁢ + + cos + ⁡ + ( + u + ) + + + + } + +
    +
    • +
  • +

    ∀ u,v with 6 ≤ u ≤ 8 and 3 ≤ v ≤ 7:

    +
    + + + + { + + + u + - + 6 + + , + + + 1 + 8 + + ⁢ + + ( + + + - + + + + ( + + u + - + 7 + + ) + + 2 + + + + - + + + 16 + 9 + + ⁢ + + + ( + + v + - + 5 + + ) + + 2 + + + + ) + + + , + + + 5 + ⁢ + + ( + + v + - + 3 + + ) + + + 4 + + + } + + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π and ∀ i with -3 ≤ i ≤ 8:

    +
    + + { + + + + + 3 + ⁢ + + ( + + i + + + 4 + + ) + + + 2 + + + + + sin + ⁡ + ( + u + ) + + + , + + - + + + + ( + + + + 3 + ⁢ + + ( + + i + + + 4 + + ) + + + 2 + + + + + sin + ⁡ + ( + u + ) + + + ) + + 6 + + 34012224 + + + + + + cos + ⁡ + ( + u + ) + + 2 + + + , + + + 1 + 2 + + ⁢ + + cos + ⁡ + ( + + + π + ⁢ + + ( + + i + + + 4 + + ) + + + - + u + + ) + + + + } + +
    +
    • +
  • +

    ∀ u with 0 < u < 1, ∀ i with 1 ≤ i ≤ imax + 7:

    +
    + + + + { + + + u + ⁢ + + ( + + + + sin + 2 + + ( + + 9679 + ⁢ + i + + ) + + + + 1 + + ) + + ⁢ + + sin + ⁡ + ( + + + 15 + ⁢ + i + + + + + + 1 + 30 + + ⁢ + π + ⁢ + + + sin + 2 + + ( + + 7243 + ⁢ + i + + ) + + + + ) + + + , + + u + ⁢ + + ( + + + + sin + 2 + + ( + + 9679 + ⁢ + i + + ) + + + + 1 + + ) + + ⁢ + + cos + ⁡ + ( + + + 15 + ⁢ + i + + + + + + 1 + 30 + + ⁢ + π + ⁢ + + + sin + 2 + + ( + + 7243 + ⁢ + i + + ) + + + + ) + + + + } + + + +
    +
    • +
  • +

    ∀ u with umin ≤ u ≤ umax:

    +
    + + { + + + cos + ⁡ + ( + + + 5 + 42 + + ⁢ + π + ⁢ + + ( + + + 8 + ⁢ + u + + - + 47 + + ) + + + ) + + , + + + + + 64000000 + ⁢ + + + ( + + u + - + 5 + + ) + + 6 + + + 5534900853769 + + - + + + + ( + + u + - + 5 + + ) + + 4 + + 2401 + + + + + + 1 + 252 + + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + - + + + 1 + 8 + + ⁢ + + cos + ⁡ + ( + + + 1 + 21 + + ⁢ + π + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + ) + + + + , + + + - + + cos + ⁡ + ( + + + 1 + 21 + + ⁢ + π + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + ) + + + + } + +
    +

    and ∀ u with 1 ≤ u ≤ 26:

    +
    + + + + { + + + sin + ⁡ + ( + + + 1 + 75 + + ⁢ + π + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + ) + + , + + + + + 4 + 15 + + ⁢ + + + ( + + + 13 + 50 + + - + + + 7 + ⁢ + u + + 75 + + + ) + + 8 + + + + + + + 53 + 29 + + ⁢ + + + ( + + + 13 + 50 + + - + + + 7 + ⁢ + u + + 75 + + + ) + + 6 + + + - + + + 111 + 83 + + ⁢ + + + ( + + + + 7 + ⁢ + u + + 75 + + - + + 13 + 50 + + + ) + + 7 + + + - + + + 227 + 81 + + ⁢ + + + ( + + + + 7 + ⁢ + u + + 75 + + - + + 13 + 50 + + + ) + + 3 + + + + + + + 23 + ⁢ + + + ( + + 39 + - + + 14 + ⁢ + u + + + ) + + 2 + + + 236250 + + + + + + 2 + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + 3525 + + - + + 37 + 50 + + + , + + + - + + cos + ⁡ + ( + + + 1 + 75 + + ⁢ + π + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + ) + + + + } + + + +
    +
    • +
  • +

    ∀ u with 16 ≤ u ≤ 20:

    +
    + + + + + { + + + + u + - + 16 + + 4 + + - + 1 + + , + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + - + + 3 + 20 + + + , + + u + - + 16 + + 4 + + } + + + { + + + 3 + 10 + + - + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 40 + + + , + + + u + - + 16 + + 4 + + - + 1 + + , + + u + - + 16 + + 4 + + } + + + { + 0 + , + + 3 + 4 + + - + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + , + + u + - + 16 + + 4 + + } + + + { + + + + u + - + 16 + + 40 + + - + + 1 + 20 + + + , + + + 16 + - + u + + 10 + + + + + 2 + 5 + + + , + + + 16 + - + u + + 5 + + + + + 11 + 10 + + + } + + + { + + + + 16 + - + u + + 80 + + + + + 1 + 10 + + + , + + + u + - + 16 + + 4 + + - + 1 + + , + + 5 + 4 + + - + + + 19 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + + } + + + { + + + u + - + 16 + + 2 + + , + + + 4 + ⁢ + + ( + + u + - + 16 + + ) + + + 5 + + - + 1 + + , + 5 + 4 + + } + + + { + + + + u + - + 16 + + 8 + + + + + 7 + 4 + + + , 2 + , + + 5 + 4 + + - + + + 5 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + } + + + { + + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + + + 5 + 4 + + + , + + + 16 + - + u + + 16 + + + + + 43 + 20 + + + , + + u + - + 16 + + 16 + + } + + + { + + + + 9 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + + + + 43 + 20 + + + , + + + 16 + - + u + + 8 + + + + + 3 + 2 + + + , + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 20 + + + + + 3 + 5 + + + } + + + + { + + + + 1 + 3 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + + 43 + 20 + + + , + + + π + ⁢ + + ( + + + + 2 + + ⁢ + + cos + ⁡ + ( + + + 2 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + 9 + + ) + + + + + + 2 + ⁢ + + 2 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + ⁢ + + + tan + + - + 1 + + + ( + + + 20 + 3 + + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + 6 + ⁢ + π + + + , + + - + + + + cos + ⁡ + ( + + + 2 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + 3 + ⁢ + + 2 + + + + + + + + + + + 2 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + ⁢ + + + tan + + - + 1 + + + ( + + + 20 + 3 + + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + 3 + ⁢ + π + + + + + + 3 + 5 + + + } + + + + + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π:

    +
    + + + { + + + + - + + 5 + ⁢ + + sin + ⁡ + ( + u + ) + + + + + + + sin + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + + 5 + ⁢ + + cos + ⁡ + ( + u + ) + + + - + + cos + ⁡ + ( + + 5 + ⁢ + u + + ) + + + , + + + 5 + ⁢ + + sin + ⁡ + ( + u + ) + + + - + + sin + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + + 5 + ⁢ + + cos + ⁡ + ( + u + ) + + + - + + cos + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + } + + +
    +

    and ∀ u with 16 ≤ u ≤ umax:

    +
    + + + { + + + + + 10 + ⁢ + + ( + + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + - + + + 3 + 5 + + ⁢ + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + - + 4 + + , + + + 15 + 2 + + - + + + 10 + ⁢ + + ( + + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + + + 3 + 5 + + ⁢ + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + + + } + + +
    +

    and

    +
    + + + { + + + + + 10 + ⁢ + + ( + + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + + + 3 + 5 + + ⁢ + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + - + + 15 + 2 + + + , + + 4 + - + + + 10 + ⁢ + + ( + + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + - + + + 3 + 5 + + ⁢ + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + + + } + + +
    +
    • +
+
+

+ You don’t know much about what they represent, but you know what you + like. You like particular, identifiable parameter values. +

+
    +
  • You like a1 and a2 such that u = a1 (nearer the signature) and u = a2 (farther from the signature) are points along the signed beam where other beams intersect
    • +
  • You like a3 and a4 such that a3 = umin and a4 = umax are appropriate in 3D
    • +
  • You like a5 such that a5 = umax yields the correct antenna length
    • +
  • You like a6 such that i = a6 brings you closest to a baseboard electrical outlet
    • +
  • You like a7 such that imax = a7 yields the correct number of white lines
    • +
  • You like a8 and a9 such that (u,v) = (a8, a9) is a reflecting pool when viewed from between a fire-pull-plus-junction-box, a fire alarm, a black sign, and a silver sign
    • +
  • You like a10 such that the gap you could enter through spans a10 - 1/2 < u < a10 + 1/2
    • +
  • You like a11 such that, when i = a11, i is treeless but i + 1 and i - 1 are not
    • +
+
+

+ You’ve changed your mind. You’re + glad Transparent Horizon isn’t here. +

+
+ +
+
+ +
+ + diff --git a/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r0806_MIT_Mystery_Hunt_2017_Hum_a_Few_More_Bars/m.png b/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r0806_MIT_Mystery_Hunt_2017_Hum_a_Few_More_Bars/m.png new file mode 100644 index 0000000000000000000000000000000000000000..df9146f2757e6d173b347861c41025ae3819328c --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r0806_MIT_Mystery_Hunt_2017_Hum_a_Few_More_Bars/m.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:d5b862a62f85c10007029f4ee55cc585537ffd4e977f67ecabd048d7425f4ad3 +size 126888 diff --git a/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r08m_MIT_Mystery_Hunt_2017_The_Dismal_Dungeon/a_beauty_cold_and_austere.html b/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r08m_MIT_Mystery_Hunt_2017_The_Dismal_Dungeon/a_beauty_cold_and_austere.html new file mode 100644 index 0000000000000000000000000000000000000000..060639c11c4c7ffdbea219c7e90be89d2eca0f08 --- /dev/null +++ b/benchmark/MIT_Mystery_Hunt/puzzles/2017/mit2017r08m_MIT_Mystery_Hunt_2017_The_Dismal_Dungeon/a_beauty_cold_and_austere.html @@ -0,0 +1,3222 @@ + + + + + + + A Beauty Cold and Austere + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ +
+ + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + +
+ + 0 +
+ + + + +
 0 +
+
+ + + + + + +
Solution
+ + + +
+ + +   + + + +
+ +
+ +
+ +
+ + + + +
+ Reward: Item or Gold! +
+ + + + +
+ + You find lines carved into the cold limestone of the dungeon wall. + +
+
+ +
+
    +
  • +

    ∀ u with 0 < u < 1:

    + + + + + + +
    + + + + + + + { + + u + - + 5 + + , + + sin + 2 + + ( + + 2 + ⁢ + π + ⁢ + u + + ) + + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + + + + + + + + + + { + + - + 3 + + + + , + + + u + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + + + + + + + + + { + + + sin + ⁡ + ( + + 5 + ⁢ + + u + 20 + + + ) + + - + 1 + + , u + } + + + + + TagBox[RowBox[List["(", + "", GridBox[List[List[RowBox[List["u", "-", + "5"]], RowBox[List[SuperscriptBox["sin", "2"], + "(", RowBox[List["2", " ", "\[Pi]", " + ", "u"]], ")"]]], List[RowBox[List["-", + "3"]], "u"], List[RowBox[List[RowBox[List["sin", + "(", RowBox[List["5", " ", + SuperscriptBox["u", "20"]]], ")"]], "-", + "1"]], "u"], List[RowBox[List["u", "+", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"], "+", FractionBox["1", + "2"]]], RowBox[List[RowBox[List["-", "u"]], + "+", TemplateBox[List[RowBox[List["u", "-", + FractionBox["1", "2"]]]], "Abs"], "+", + FractionBox["1", "2"]]]], List[RowBox[List["u", + "+", "2"]], RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]], List[RowBox[List["u", + "+", "3"]], RowBox[List[FractionBox["3", + "2"], "-", RowBox[List["3", " ", + TemplateBox[List[RowBox[List["u", "-", FractionBox["1", + "2"]]]], "Abs"]]]]]], List[RowBox[List["5", + "-", RowBox[List["sin", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]], + RowBox[List["1", "-", RowBox[List["cos", "(", + RowBox[List["\[Pi]", " ", "u"]], ")"]]]]]], + Rule[RowSpacings, 1], Rule[ColumnSpacings, 1], Rule[RowAlignments, Baseline], + Rule[ColumnAlignments, Center]], "", ")"]], + DisplayForm] + + +
    +
    • +
+ +
+

+ As your eyes adjust, you discover more and more lines curving all around + you—in various steels, glass, tile, paint, and granite. For a + moment, you find yourself wishing Transparent Horizon were + here . . . but it’s not. +

+

+ (Note: u,v ∈ ℝ and i ∈ ℤ. + Right-click on an expression to obtain raw MathML which may be pasted + into, e.g., Mathematica.) +

+
    +
  • +

    ∀ u,v with 29/2 < u < 29/2 + 2π and 0 < v < 1:

    +
    + + { + + + + - + + 1 + 100 + + + ⁢ + + ( + + + - + + + 6 + + ⁢ + u + + + - + + 100 + ⁢ + + + tan + + - + 1 + + + ( + + + - + + + 2 + + ⁢ + u + + + + + + 3 + ⁢ + π + + + + 29 + + ) + + + + + + 9 + ⁢ + π + + + + 87 + + ) + + ⁢ + + cos + ⁡ + ( + + + ❘ + + u + - + + + 3 + ⁢ + π + + 2 + + - + + 29 + 2 + + + ❘ + + TemplateBox[List[RowBox[List["u", + "-", FractionBox[RowBox[List["3", " ", + "\[Pi]"]], "2"], "-", FractionBox["29", + "2"]]]], "Abs"] + + ) + + + , + + + + - + + 1 + 100 + + ⁢ + + ( + + + - + + + 6 + + ⁢ + u + + + - + + 100 + ⁢ + + + tan + + - + 1 + + + ( + + + - + + + 2 + + ⁢ + u + + + + + + 3 + ⁢ + π + + + + 29 + + ) + + + + + + 9 + ⁢ + π + + + + 87 + + ) + + ⁢ + + sin + ⁡ + ( + + + ❘ + + u + - + + + 3 + ⁢ + π + + 2 + + - + + 29 + 2 + + + ❘ + + TemplateBox[List[RowBox[List["u", + "-", FractionBox[RowBox[List["3", " ", + "\[Pi]"]], "2"], "-", FractionBox["29", + "2"]]]], "Abs"] + + ) + + + , + + + v + + } + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π and ∀ i with -5 ≤ i ≤ -2 or 3 ≤ i ≤ 6:

    +
    + + { + + + + + i + - + 5 + + 2 + + + + + sin + ⁡ + ( + u + ) + + + , + + 2 + ⁢ + + cos + ⁡ + ( + u + ) + + + + } + +
    +
    • +
  • +

    ∀ u,v with 6 ≤ u ≤ 8 and 3 ≤ v ≤ 7:

    +
    + + + + { + + + u + - + 6 + + , + + + 1 + 8 + + ⁢ + + ( + + + - + + + + ( + + u + - + 7 + + ) + + 2 + + + + - + + + 16 + 9 + + ⁢ + + + ( + + v + - + 5 + + ) + + 2 + + + + ) + + + , + + + 5 + ⁢ + + ( + + v + - + 3 + + ) + + + 4 + + + } + + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π and ∀ i with -3 ≤ i ≤ 8:

    +
    + + { + + + + + 3 + ⁢ + + ( + + i + + + 4 + + ) + + + 2 + + + + + sin + ⁡ + ( + u + ) + + + , + + - + + + + ( + + + + 3 + ⁢ + + ( + + i + + + 4 + + ) + + + 2 + + + + + sin + ⁡ + ( + u + ) + + + ) + + 6 + + 34012224 + + + + + + cos + ⁡ + ( + u + ) + + 2 + + + , + + + 1 + 2 + + ⁢ + + cos + ⁡ + ( + + + π + ⁢ + + ( + + i + + + 4 + + ) + + + - + u + + ) + + + + } + +
    +
    • +
  • +

    ∀ u with 0 < u < 1, ∀ i with 1 ≤ i ≤ imax + 7:

    +
    + + + + { + + + u + ⁢ + + ( + + + + sin + 2 + + ( + + 9679 + ⁢ + i + + ) + + + + 1 + + ) + + ⁢ + + sin + ⁡ + ( + + + 15 + ⁢ + i + + + + + + 1 + 30 + + ⁢ + π + ⁢ + + + sin + 2 + + ( + + 7243 + ⁢ + i + + ) + + + + ) + + + , + + u + ⁢ + + ( + + + + sin + 2 + + ( + + 9679 + ⁢ + i + + ) + + + + 1 + + ) + + ⁢ + + cos + ⁡ + ( + + + 15 + ⁢ + i + + + + + + 1 + 30 + + ⁢ + π + ⁢ + + + sin + 2 + + ( + + 7243 + ⁢ + i + + ) + + + + ) + + + + } + + + +
    +
    • +
  • +

    ∀ u with umin ≤ u ≤ umax:

    +
    + + { + + + cos + ⁡ + ( + + + 5 + 42 + + ⁢ + π + ⁢ + + ( + + + 8 + ⁢ + u + + - + 47 + + ) + + + ) + + , + + + + + 64000000 + ⁢ + + + ( + + u + - + 5 + + ) + + 6 + + + 5534900853769 + + - + + + + ( + + u + - + 5 + + ) + + 4 + + 2401 + + + + + + 1 + 252 + + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + - + + + 1 + 8 + + ⁢ + + cos + ⁡ + ( + + + 1 + 21 + + ⁢ + π + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + ) + + + + , + + + - + + cos + ⁡ + ( + + + 1 + 21 + + ⁢ + π + ⁢ + + ( + + + 20 + ⁢ + u + + - + 107 + + ) + + + ) + + + + } + +
    +

    and ∀ u with 1 ≤ u ≤ 26:

    +
    + + + + { + + + sin + ⁡ + ( + + + 1 + 75 + + ⁢ + π + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + ) + + , + + + + + 4 + 15 + + ⁢ + + + ( + + + 13 + 50 + + - + + + 7 + ⁢ + u + + 75 + + + ) + + 8 + + + + + + + 53 + 29 + + ⁢ + + + ( + + + 13 + 50 + + - + + + 7 + ⁢ + u + + 75 + + + ) + + 6 + + + - + + + 111 + 83 + + ⁢ + + + ( + + + + 7 + ⁢ + u + + 75 + + - + + 13 + 50 + + + ) + + 7 + + + - + + + 227 + 81 + + ⁢ + + + ( + + + + 7 + ⁢ + u + + 75 + + - + + 13 + 50 + + + ) + + 3 + + + + + + + 23 + ⁢ + + + ( + + 39 + - + + 14 + ⁢ + u + + + ) + + 2 + + + 236250 + + + + + + 2 + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + 3525 + + - + + 37 + 50 + + + , + + + - + + cos + ⁡ + ( + + + 1 + 75 + + ⁢ + π + ⁢ + + ( + + + 14 + ⁢ + u + + - + 39 + + ) + + + ) + + + + } + + + +
    +
    • +
  • +

    ∀ u with 16 ≤ u ≤ 20:

    +
    + + + + + { + + + + u + - + 16 + + 4 + + - + 1 + + , + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + - + + 3 + 20 + + + , + + u + - + 16 + + 4 + + } + + + { + + + 3 + 10 + + - + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 40 + + + , + + + u + - + 16 + + 4 + + - + 1 + + , + + u + - + 16 + + 4 + + } + + + { + 0 + , + + 3 + 4 + + - + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + , + + u + - + 16 + + 4 + + } + + + { + + + + u + - + 16 + + 40 + + - + + 1 + 20 + + + , + + + 16 + - + u + + 10 + + + + + 2 + 5 + + + , + + + 16 + - + u + + 5 + + + + + 11 + 10 + + + } + + + { + + + + 16 + - + u + + 80 + + + + + 1 + 10 + + + , + + + u + - + 16 + + 4 + + - + 1 + + , + + 5 + 4 + + - + + + 19 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + + } + + + { + + + u + - + 16 + + 2 + + , + + + 4 + ⁢ + + ( + + u + - + 16 + + ) + + + 5 + + - + 1 + + , + 5 + 4 + + } + + + { + + + + u + - + 16 + + 8 + + + + + 7 + 4 + + + , 2 + , + + 5 + 4 + + - + + + 5 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + } + + + { + + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 16 + + + + + 5 + 4 + + + , + + + 16 + - + u + + 16 + + + + + 43 + 20 + + + , + + u + - + 16 + + 16 + + } + + + { + + + + 9 + ⁢ + + ( + + u + - + 16 + + ) + + + 80 + + + + + 43 + 20 + + + , + + + 16 + - + u + + 8 + + + + + 3 + 2 + + + , + + + 3 + ⁢ + + ( + + u + - + 16 + + ) + + + 20 + + + + + 3 + 5 + + + } + + + + { + + + + 1 + 3 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + + 43 + 20 + + + , + + + π + ⁢ + + ( + + + + 2 + + ⁢ + + cos + ⁡ + ( + + + 2 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + 9 + + ) + + + + + + 2 + ⁢ + + 2 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + ⁢ + + + tan + + - + 1 + + + ( + + + 20 + 3 + + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + + 6 + ⁢ + π + + + , + + - + + + + cos + ⁡ + ( + + + 2 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + 3 + ⁢ + + 2 + + + + + + + + + + + 2 + + ⁢ + + sin + ⁡ + ( + + + 4 + 3 + + ⁢ + π + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + ⁢ + + + tan + + - + 1 + + + ( + + + 20 + 3 + + ⁢ + + ( + + + 2 + ⁢ + u + + - + 37 + + ) + + + ) + + + + 3 + ⁢ + π + + + + + + 3 + 5 + + + } + + + + + +
    +
    • +
  • +

    ∀ u with 0 ≤ u ≤ 2π:

    +
    + + + { + + + + - + + 5 + ⁢ + + sin + ⁡ + ( + u + ) + + + + + + + sin + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + + 5 + ⁢ + + cos + ⁡ + ( + u + ) + + + - + + cos + ⁡ + ( + + 5 + ⁢ + u + + ) + + + , + + + 5 + ⁢ + + sin + ⁡ + ( + u + ) + + + - + + sin + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + + 5 + ⁢ + + cos + ⁡ + ( + u + ) + + + - + + cos + ⁡ + ( + + 5 + ⁢ + u + + ) + + + + } + + +
    +

    and ∀ u with 16 ≤ u ≤ umax:

    +
    + + + { + + + + + 10 + ⁢ + + ( + + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + - + + + 3 + 5 + + ⁢ + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + - + 4 + + , + + + 15 + 2 + + - + + + 10 + ⁢ + + ( + + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + + + 3 + 5 + + ⁢ + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + + + } + + +
    +

    and

    +
    + + + { + + + + + 10 + ⁢ + + ( + + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + + + 3 + 5 + + ⁢ + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + - + + 15 + 2 + + + , + + 4 + - + + + 10 + ⁢ + + ( + + + cos + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + - + + + 3 + 5 + + ⁢ + + sin + ⁡ + ( + + + 9 + 10 + + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + ) + + + + ) + + + + 3 + ⁢ + + + ( + + u + - + 15 + + ) + + 2 + + + + + + } + + +
    +
    • +
+
+

+ You don’t know much about what they represent, but you know what you + like. You like particular, identifiable parameter values. +

+
    +
  • You like a1 and a2 such that u = a1 (nearer the signature) and u = a2 (farther from the signature) are points along the signed beam where other beams intersect
    • +
  • You like a3 and a4 such that a3 = umin and a4 = umax are appropriate in 3D
    • +
  • You like a5 such that a5 = umax yields the correct antenna length
    • +
  • You like a6 such that i = a6 brings you closest to a baseboard electrical outlet
    • +
  • You like a7 such that imax = a7 yields the correct number of white lines
    • +
  • You like a8 and a9 such that (u,v) = (a8, a9) is a reflecting pool when viewed from between a fire-pull-plus-junction-box, a fire alarm, a black sign, and a silver sign
    • +
  • You like a10 such that the gap you could enter through spans a10 - 1/2 < u < a10 + 1/2
    • +
  • You like a11 such that, when i = a11, i is treeless but i + 1 and i - 1 are not
    • +
+
+

+ You’ve changed your mind. You’re + glad Transparent Horizon isn’t here. +

+
+ +
+
+ +
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