Puzzleup 2015 (2) Colored Cubes - 拼圖

題目網址: http://www.puzzleup.com/2015/
http://www.puzzleup.com/2015/puzzle/?2
答題時限: ８月６日７ＰＭ－比賽結束（約12月16日）
加分時限: ８月６日７ＰＭ－８月11日６：５９ＰＭ

答對可得基本分１００分。答案可上傳５次，每改１次答案從基本分扣２０分。　
比賽期間內可隨時上傳答案，加分時限內答對第ｎ天加（６－ｎ）分　 　　 　　
另依題目的難易有額外加分（如有８０％的人這題答錯，答對者加８０分）　　

◆COLORED CUBES

You have red, blue and green unit cubes. You will create a 2x2x2 cube by
using 8 of these unit cubes. What is the maximum number of different cubes
you can create?

Note: If a cube can be obtained by rotating another one, these two cubes are
not considered to be different.

If the problem was asked for only red and blue unit cubes, the answer would
be 23.

你有一些紅、藍、綠的單位立方體。你使用其中八個建構 2x2x2 的立方體。

試問你能做出幾種不同的立方體？

註: 若一個立方體能經由旋轉成為另一個，則兩者視為相同。

若問題改問紅藍兩色，則答案為 23。

--
'Oh, Harry, don't you see?' Hermione breathed. 'If she could have done
one thing to make absolutely sure that every single person in this school
will read your interview, it was banning it!'
---'Harry Potter and the order of the phoenix', P513

--