# Virtual Cubes

Activate JavaScript to see the Virtual Cubes!

### Chinese Magic Square Cube

Similar to a Sudoku grid you have to get the Chinese numbers 一 to 九 (1 to 9) in order on each side.

On this cube the arrangement of the numbers is the same on each face. They build a 'Magic Square', where the sum of all numbers in rows, columns and diagonals is equal.

The layout of the Chinese Magic Square Cube was created in 2017 by André Boulouard and Walter Randelshofer.

#### Lo Shu Square (Magic Square)

Lo Shu Square (洛书, luò shū), is the unique normal Magic Square of order three (every normal Magic Square of order three is obtained from the Lo Shu by rotation or reflection). Lo Shu is part of the legacy of the most ancient Chinese mathematical and divinatory (Yi Jing 易經) traditions, and is an important emblem in Feng Shui (風水), the art of geomancy concerned with the placement of objects in relation to the flow of qi (氣) «natural energy».

 四 九 二 三 五 七 八 一 六

 4 9 2 3 5 7 8 1 6

The odd and even numbers alternate in the periphery of the Lo Shu pattern; the 4 even numbers are at the four corners, and the 5 odd numbers (outnumbering the even numbers by one) form a cross in the center of the square. The sums in each row, column and diagonal are all 15 (the number of days in each of the 24 cycles of the Chinese solar year). Since 5 is in the center cell, the sum of any two other cells that are directly through the 5 from each other is 10 (e.g., opposite corners add up to 10, the number of the Ho Tu (河圖)).

#### Chinese (Mandarin) numerals

Mandarin Transcription Meaning English
1 One
èr 2 Two
sān 3 Three
4 Four
5 Five
liù 6 Six
7 Seven
8 Eight
jiǔ 9 Nine