Pantriagonal & symmetric 4x4x4 magic cube (Composite 1')

 

In comparison with the most perfect magic 4x4x4 cube, the magic 4x4x4 cube is pantriagonal magic (= the 4 space diagonals and the space pandiagonals give the magic sum of 130) and symmetric, but this 4x4x4 magic cube is only semi (= simple) magic (instead of diagonal magic) in each level and semi (= simple) magic (instead of diagonal magic) through the levels.
 

 

First level 4x4x4 cube

1

8

61

60

27

30

39

34

46

43

18

23

56

49

12

13

 


second level 4x4x4 cube

32

25

36

37

6

3

58

63

51

54

15

10

41

48

21

20

 


third level 4x4x4 cube

45

44

17

24

55

50

11

14

2

7

62

59

28

29

40

33

 

 
fourth level 4x4x4 cube
 

52

53

16

9

42

47

22

19

31

26

35

38

5

4

57

64

 

 

See in the download below how to construct (= by puzzling) the 4x4x4 pantriagonal & symmetric magic cube.

 

With method composite 1' you use a splitted magic square to construct a magic cube. See on this website the construction of:

4x4x4 (pantriagonal & symmetric) and 4x4x4 (pantriagonal & compact)

 

Download
4x4x4, pantriagonal & symmetric.xls
Microsoft Excel werkblad 67.0 KB