Elements

elems.json

{
  "Air": {
    "strongerThan": [
      "Plants",
      "Ice",
      "Radioactive"
    ],
    "weakerThan": [
      "Diamond",
      "Metal",
      "Wood"
    ]
  },
  "Diamond": {
    "strongerThan": [
      "Space",
      "Air",
      "Water"
    ],
    "weakerThan": [
      "Gas",
      "Rock",
      "Lightning"
    ]
  },
  "Earth": {
    "strongerThan": [
      "Fire",
      "Ice",
      "Plants"
    ],
    "weakerThan": [
      "Radioactive",
      "Space",
      "Shadow"
    ]
  },
  "Fire": {
    "strongerThan": [
      "Sand",
      "Spirit",
      "Wood"
    ],
    "weakerThan": [
      "Ice",
      "Earth",
      "Lightning"
    ]
  },
  "Gas": {
    "strongerThan": [
      "Wood",
      "Space",
      "Diamond"
    ],
    "weakerThan": [
      "Plants",
      "Metal",
      "Shadow"
    ]
  },
  "Ice": {
    "strongerThan": [
      "Radioactive",
      "Fire",
      "Shadow"
    ],
    "weakerThan": [
      "Poison",
      "Air",
      "Earth"
    ]
  },
  "Lightning": {
    "strongerThan": [
      "Shadow",
      "Diamond",
      "Fire"
    ],
    "weakerThan": [
      "Space",
      "Rock",
      "Spirit"
    ]
  },
  "Magnetic": {
    "strongerThan": [
      "Poison",
      "Sand",
      "Plants"
    ],
    "weakerThan": [
      "Radioactive",
      "Rock",
      "Spirit"
    ]
  },
  "Metal": {
    "strongerThan": [
      "Air",
      "Gas",
      "Poison"
    ],
    "weakerThan": [
      "Space",
      "Water",
      "Shadow"
    ]
  },
  "Plants": {
    "strongerThan": [
      "Spirit",
      "Gas",
      "Space"
    ],
    "weakerThan": [
      "Magnetic",
      "Air",
      "Earth"
    ]
  },
  "Poison": {
    "strongerThan": [
      "Rock",
      "Wood",
      "Ice"
    ],
    "weakerThan": [
      "Metal",
      "Magnetic",
      "Spirit"
    ]
  },
  "Radioactive": {
    "strongerThan": [
      "Water",
      "Magnetic",
      "Earth"
    ],
    "weakerThan": [
      "Air",
      "Sand",
      "Ice"
    ]
  },
  "Rock": {
    "strongerThan": [
      "Diamond",
      "Magnetic",
      "Lightning"
    ],
    "weakerThan": [
      "Poison",
      "Water",
      "Sand"
    ]
  },
  "Sand": {
    "strongerThan": [
      "Rock",
      "Radioactive",
      "Spirit"
    ],
    "weakerThan": [
      "Fire",
      "Magnetic",
      "Water"
    ]
  },
  "Shadow": {
    "strongerThan": [
      "Gas",
      "Metal",
      "Earth"
    ],
    "weakerThan": [
      "Wood",
      "Ice",
      "Lightning"
    ]
  },
  "Space": {
    "strongerThan": [
      "Metal",
      "Earth",
      "Lightning"
    ],
    "weakerThan": [
      "Plants",
      "Diamond",
      "Gas"
    ]
  },
  "Spirit": {
    "strongerThan": [
      "Magnetic",
      "Poison",
      "Lightning"
    ],
    "weakerThan": [
      "Plants",
      "Fire",
      "Sand"
    ]
  },
  "Water": {
    "strongerThan": [
      "Sand",
      "Metal",
      "Rock"
    ],
    "weakerThan": [
      "Diamond",
      "Radioactive",
      "Wood"
    ]
  },
  "Wood": {
    "strongerThan": [
      "Air",
      "Water",
      "Shadow"
    ],
    "weakerThan": [
      "Fire",
      "Gas",
      "Poison"
    ]
  }
}

elems.py

import random, yaml, json

print "WARNING : you may need to run it multiple times to have a result"

elems = ["Water", "Fire", "Air", "Earth", "Poison", "Plants", "Sand", "Rock", "Spirit", "Ice", "Lightning", "Space", "Radioactive", "Magnetic", "Gas", "Shadow", "Metal", "Wood", "Diamond"]
available = list(elems)
relations = dict((e, { "strongerThan" : [], "weakerThan" : []}) for e in elems)
counts = dict((e, 0) for e in elems)

# Generate
for e in elems:
    el = list(available)
    el = filter(lambda ee: ee != e and e not in relations[ee]["strongerThan"], el)
    random.shuffle(el)
    for i in range(3):
        a = el.pop()
        relations[e]["strongerThan"].append(a)
        counts[a] += 1
        if counts[a] >= 3:
            available.remove(a)

# Compute weaker
for e, l in relations.iteritems():
    for i in l["strongerThan"]:
        relations[i]["weakerThan"].append(e)

# Print result

res = ""
res += "| Element | Fort contre | Faible contre |\n"
res += "|:-----------|------------|------------|\n"
for k,v in relations.iteritems():
    res += "| %s |" % k
    res += ", ".join(v["strongerThan"])
    res += " | "
    res += ", ".join(v["weakerThan"])
    res += " |\n"

print res

#print yaml.dump(relations)
print yaml.dump(counts)
json.dump(relations, open("elems.json", "a"))