Pantriagonal & compact 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 all space pandiagonals give the magic sum of 130) and 2x2 compact (in all three directions i.e. 63+34+10+23 = 63+34+1+32 = 63+10+1+56 =130), 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

6

27

54

43

51

46

3

30

16

17

64

33

57

40

9

24

 


Second level 4x4x4 cube

63

34

15

18

10

23

58

39

53

44

5

28

4

29

52

45

 

 

Third level 4x4x4 cube

1

32

49

48

56

41

8

25

11

22

59

38

62

35

14

19

 


Fourth level 4x4x4 cube

60

37

12

21

13

20

61

36

50

47

2

31

7

26

55

42

 

 

See in download below how to construct (by puzzling) a 4x4x4 pantriagonal and 2x2 compact 4x4x4 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 & compact.xls
Microsoft Excel werkblad 71.0 KB