http://mtsmfm.github.io/2017/06/03/doukaku-e14.html への回答

main.rb

PATTERNS = [
  [4, 3],
  [3, 4],
  [5, 2],
  [2, 5]
]

DEVELOPMENTS = [
  [
    [1,   nil, nil, nil],
    [2,   3,   2,   3  ],
    [1,   nil, nil, nil],
  ],
  [
    [1,   nil, nil, nil],
    [2,   3,   2,   3  ],
    [nil, 1,   nil, nil],
  ],
  [
    [1,   nil, nil, nil],
    [2,   3,   2,   3  ],
    [nil, nil, 1,   nil],
  ],
  [
    [1,   nil, nil, nil],
    [2,   3,   2,   3  ],
    [nil, nil, nil, 1  ],
  ],
  [
    [nil, 1, nil, nil],
    [2,   3,   2,   3],
    [nil, 1, nil, nil],
  ],
  [
    [nil, 1, nil, nil],
    [2,   3,   2,   3],
    [nil, nil, 1, nil],
  ],
  [
    [1,   2,   nil, nil],
    [nil, 3,     1,   3],
    [nil, nil,   2, nil],
  ],
  [
    [1,   2, nil, nil],
    [nil, 3,   1,   3],
    [nil, 2, nil, nil],
  ],
  [
    [1,   2,   nil, nil],
    [nil, 3,     1, nil],
    [nil, nil,   2, 3  ],
  ],
  [
    [1,   2, nil, nil],
    [nil, 3,   1,   3],
    [nil, nil, nil, 2],
  ],
  [
    [1,     2,   1, nil, nil],
    [nil, nil,   3,   2,   3],
  ],
]

def main(str)
  ary = str.split(",").map { |s| s.chars.map(&:to_i) }

  PATTERNS.each do |x, y|
    return "true" if check(targets(ary, x, y))
  end

  return "false"
end

# 11 展開図を 8 方向ずつ試す
def check(targets)
  targets.each do |target|
    DEVELOPMENTS.each do |dev|
      return true if sai(target, dev)
      return true if sai(target, dev.reverse.transpose)      # 90°
      return true if sai(target, dev.map(&:reverse).reverse) # 180°
      return true if sai(target, dev.transpose.reverse)      # 270°
      # 裏
      return true if sai(target, dev.transpose)
      return true if sai(target, dev.reverse)      # 90°
      return true if sai(target, dev.map(&:reverse).reverse.transpose) # 180°
      return true if sai(target, dev.transpose.reverse.transpose)      # 270°
    end
  end

  return false
end

# 候補と展開図をぶつけてサイコロになるかどうか
def sai(target, dev)
  return false unless [target, dev].map(&:size).uniq.size == 1

  target.zip(dev).
    flat_map { |_t, _d| _t.zip(_d) }.
    reject { |_, i| i.nil? }.
    group_by { |_, i| i }.
    values. #=> [[[1, 1], [6, 1]], [[2, 2], [5, 2], [[3, 3], [4, 3]]] みたいなやつ
    map { |v| v.map { |n, _| n } }. #=> [[1, 6], [2, 5], [3, 4]] みたいなやつ
    tap { |res| return false unless res.map(&:sum) == [7, 7, 7] }.
    tap { |res| return false unless res.flatten.uniq.size == 6 }

  return true
end

def targets(ary, x, y)
  ary.each_cons(y).flat_map { |_a|
    _a.transpose.each_cons(x).map(&:to_a)
  }
end

require 'test-unit'

class HogeTest < Test::Unit::TestCase
  TEST_CASES = DATA.each_line.map { |line|
    %r[^/\*(?<id>\d+)\*/.*test\((?<act_exp>.*)\)] =~ line
    act, exp = act_exp.scan(%r["(.+?)"]).flatten
    [id, [act, exp]]
  }.to_h

  data(TEST_CASES)
  test "hoge" do |(input, expected)|
    assert { main(input) == expected }
  end
end

__END__
/*0*/ test("44165,44516", "false");
/*1*/ test("26265,31436", "true");
/*2*/ test("46345,54215", "true");
/*3*/ test("62143,11152", "false");
/*4*/ test("4242,4314,1562", "false");
/*5*/ test("5612,3656,4523", "false");
/*6*/ test("5514,1311,5252", "false");
/*7*/ test("5262,4631,2644", "true");
/*8*/ test("6626,3324,2644", "false");
/*9*/ test("4645,6314,2564", "true");
/*10*/ test("54,65,23,21,14", "true");
/*11*/ test("5325,3641,1335", "true");
/*12*/ test("4163,2156,2553", "true");
/*13*/ test("3126,6543,4352", "false");
/*14*/ test("4464,5423,5216", "true");
/*15*/ test("3564,3634,5631", "false");
/*16*/ test("4363,3454,2126", "true");
/*17*/ test("25,25,33,12,52", "false");
/*18*/ test("1551,4542,3624", "true");
/*19*/ test("6623,4126,6331", "false");
/*20*/ test("2432,6215,1623", "true");
/*21*/ test("1151,6555,3616", "false");
/*22*/ test("2466,1242,4444", "false");
/*23*/ test("5646,1463,4244", "true");
/*24*/ test("1255,6413,4534", "true");
/*25*/ test("1325,2312,2425", "false");
/*26*/ test("2544,6413,4656", "true");
/*27*/ test("1656,4131,3235", "true");
/*28*/ test("6332,3631,4113", "false");
/*29*/ test("4525,2151,2336", "true");
/*30*/ test("1645,2356,4314", "true");
/*31*/ test("3334,6215,1553", "true");
/*32*/ test("2622,5251,5165", "false");
/*33*/ test("1111,5613,3451", "false");
/*34*/ test("6146,4512,6353", "true");
/*35*/ test("2455,3312,6461", "false");
/*36*/ test("1221,1325,1422", "false");
/*37*/ test("1562,2236,5212", "false");
/*38*/ test("6622,3324,5155", "true");
/*39*/ test("2352,4631,1236", "true");
/*40*/ test("4645,2252,6554", "false");
/*41*/ test("3542,6515,1231", "true");
/*42*/ test("12,61,56,45,23", "false");
/*43*/ test("4643,6522,3625", "false");
/*44*/ test("1151,1642,4512", "false");
/*45*/ test("5423,5146,2212", "false");
/*46*/ test("6224,3412,5653", "true");
/*47*/ test("3122,5423,6231", "true");
/*48*/ test("5421,2351,6513", "false");
/*49*/ test("5652,3542,3313", "true");
/*50*/ test("5524,3335,1146", "false");
/*51*/ test("5311,4126,6425", "true");
/*52*/ test("15,43,62,42,14", "true");
/*53*/ test("3631,3542,3265", "true");
/*54*/ test("1232,5364,6135", "true");
/*55*/ test("2441,4644,5433", "false");
/*56*/ test("2213,5621,3412", "true");
/*57*/ test("6644,1264,1235", "true");
/*58*/ test("5613,1423,6315", "true");
/*59*/ test("6552,1546,2141", "false");
/*60*/ test("5623,1461,5645", "true");
/*61*/ test("1442,1436,6362", "false");
/*62*/ test("3443,5145,4546", "false");
/*63*/ test("1244,1313,2316", "false");
/*64*/ test("2152,1463,2114", "true");
/*65*/ test("1211,6234,5561", "false");
/*66*/ test("4152,1252,3142", "false");
/*67*/ test("6645,1231,6122", "false");
/*68*/ test("353,241,121,536", "true");
/*69*/ test("224,444,651,234", "true");
/*70*/ test("643,214,244,343", "false");
/*71*/ test("624,542,214,333", "true");
/*72*/ test("441,426,536,656", "true");
/*73*/ test("564,642,513,364", "true");
/*74*/ test("422,136,414,416", "false");
/*75*/ test("463,356,113,662", "true");
/*76*/ test("464,515,435,462", "true");
/*77*/ test("531,145,364,525", "false");
/*78*/ test("623,564,153,633", "false");
/*79*/ test("335,462,531,424", "false");
/*80*/ test("131,111,535,436", "false");
/*81*/ test("435,414,423,365", "true");
/*82*/ test("144,512,332,346", "true");
/*83*/ test("342,246,342,634", "false");
/*84*/ test("246,566,431,415", "true");
/*85*/ test("444,554,234,621", "true");
/*86*/ test("313,624,165,652", "true");
/*87*/ test("563,262,545,315", "true");
/*88*/ test("213,264,154,264", "false");
/*89*/ test("364,434,246,113", "false");
/*90*/ test("411,656,325,225", "false");
/*91*/ test("624,234,115,443", "true");
/*92*/ test("252,214,635,154", "false");
/*93*/ test("146,213,525,164", "false");
/*94*/ test("456,423,112,352", "true");
/*95*/ test("253,156,111,355", "false");
/*96*/ test("252,161,562,365", "false");
/*97*/ test("136,553,544,524", "true");
/*98*/ test("414,351,161,525", "true");
/*99*/ test("261,442,111,531", "true");
/*100*/ test("323,664,454,133", "true");
/*101*/ test("213,415,225,165", "false");
/*102*/ test("363,162,165,533", "false");
/*103*/ test("346,441,315,241", "false");
/*104*/ test("121,312,155,164", "true");
/*105*/ test("123,311,452,365", "true");
/*106*/ test("361,145,212,431", "true");
/*107*/ test("451,264,412,513", "false");
/*108*/ test("311,456,263,226", "true");
/*109*/ test("343,442,624,635", "false");
/*110*/ test("534,644,234,251", "false");
/*111*/ test("515,346,462,435", "true");
/*112*/ test("445,126,165,636", "false");
/*113*/ test("343,355,126,353", "false");
/*114*/ test("623,533,256,144", "true");
/*115*/ test("125,341,566,416", "false");
/*116*/ test("354,434,621,411", "true");
/*117*/ test("356,435,253,114", "false");
/*118*/ test("141,265,533,514", "true");
/*119*/ test("613,426,142,535", "true");
/*120*/ test("366,322,413,325", "true");
/*121*/ test("331,542,343,545", "false");
/*122*/ test("261,512,563,123", "false");
/*123*/ test("242,132,656,164", "true");
/*124*/ test("133,545,441,665", "false");
/*125*/ test("111,151,621,545", "false");
/*126*/ test("132,154,234,653", "false");
/*127*/ test("114,455,635,511", "false");
/*128*/ test("14366,64254,66664,42611,41245", "false");
/*129*/ test("41114,53116,13122,66613,35111", "false");
/*130*/ test("22146,34244,16154,62531,51426", "true");
/*131*/ test("464316,136563,136326,535655,641161,252655", "true");
/*132*/ test("166255,615452,261224,533566,323335,556213", "false");
/*133*/ test("126665,245653,343553,254661,365415,361154", "false");
/*134*/ test("1512663,1525531,5456426,6336325,4324465,6512242,4112466", "true");
/*135*/ test("2236563,6644542,4425515,6641142,4214543,1156426,3225413", "false");
/*136*/ test("5545354,6566343,3525411,5356165,4625265,1535435,5522665", "false");
/*137*/ test("16161,61616,16161", "false");
/*138*/ test("2431,6354,2341", "false");