Pantriagonal 24x24x24 magic cube (Composite 5')

 

Use a 3x3x3 magic cube and it's inverse and a 8x8 most perfect square to construct a pantriagonal 24x24x24 magic cube.

 

The first grid consists of 768x a 3x3x3 magic cube and 768x it's inverse.

 

The second grid consists of a 3x3 'blown up' most perfect 8x8 magic square and it's inverse.

 

The third grid consists of the numbers 0 up to 7.

 

See below the construction of level 1.

 

 

Take 1x number from first grid with 3x3x3 magic cube and it's inverse [level 1]

8

15

19

8

15

19

8

15

19

8

15

19

20

13

9

20

13

9

20

13

9

20

13

9

12

25

5

12

25

5

12

25

5

12

25

5

16

3

23

16

3

23

16

3

23

16

3

23

22

2

18

22

2

18

22

2

18

22

2

18

6

26

10

6

26

10

6

26

10

6

26

10

8

15

19

8

15

19

8

15

19

8

15

19

20

13

9

20

13

9

20

13

9

20

13

9

12

25

5

12

25

5

12

25

5

12

25

5

16

3

23

16

3

23

16

3

23

16

3

23

22

2

18

22

2

18

22

2

18

22

2

18

6

26

10

6

26

10

6

26

10

6

26

10

20

13

9

20

13

9

20

13

9

20

13

9

8

15

19

8

15

19

8

15

19

8

15

19

16

3

23

16

3

23

16

3

23

16

3

23

12

25

5

12

25

5

12

25

5

12

25

5

6

26

10

6

26

10

6

26

10

6

26

10

22

2

18

22

2

18

22

2

18

22

2

18

20

13

9

20

13

9

20

13

9

20

13

9

8

15

19

8

15

19

8

15

19

8

15

19

16

3

23

16

3

23

16

3

23

16

3

23

12

25

5

12

25

5

12

25

5

12

25

5

6

26

10

6

26

10

6

26

10

6

26

10

22

2

18

22

2

18

22

2

18

22

2

18

8

15

19

8

15

19

8

15

19

8

15

19

20

13

9

20

13

9

20

13

9

20

13

9

12

25

5

12

25

5

12

25

5

12

25

5

16

3

23

16

3

23

16

3

23

16

3

23

22

2

18

22

2

18

22

2

18

22

2

18

6

26

10

6

26

10

6

26

10

6

26

10

8

15

19

8

15

19

8

15

19

8

15

19

20

13

9

20

13

9

20

13

9

20

13

9

12

25

5

12

25

5

12

25

5

12

25

5

16

3

23

16

3

23

16

3

23

16

3

23

22

2

18

22

2

18

22

2

18

22

2

18

6

26

10

6

26

10

6

26

10

6

26

10

20

13

9

20

13

9

20

13

9

20

13

9

8

15

19

8

15

19

8

15

19

8

15

19

16

3

23

16

3

23

16

3

23

16

3

23

12

25

5

12

25

5

12

25

5

12

25

5

6

26

10

6

26

10

6

26

10

6

26

10

22

2

18

22

2

18

22

2

18

22

2

18

20

13

9

20

13

9

20

13

9

20

13

9

8

15

19

8

15

19

8

15

19

8

15

19

16

3

23

16

3

23

16

3

23

16

3

23

12

25

5

12

25

5

12

25

5

12

25

5

6

26

10

6

26

10

6

26

10

6

26

10

22

2

18

22

2

18

22

2

18

22

2

18

 

 

+27x number from second grid with 3x3x3 'blown up' most perfect 8x8 magic square [level 1]

1

1

1

60

60

60

22

22

22

47

47

47

2

2

2

59

59

59

21

21

21

48

48

48

1

1

1

60

60

60

22

22

22

47

47

47

2

2

2

59

59

59

21

21

21

48

48

48

1

1

1

60

60

60

22

22

22

47

47

47

2

2

2

59

59

59

21

21

21

48

48

48

56

56

56

13

13

13

35

35

35

26

26

26

55

55

55

14

14

14

36

36

36

25

25

25

56

56

56

13

13

13

35

35

35

26

26

26

55

55

55

14

14

14

36

36

36

25

25

25

56

56

56

13

13

13

35

35

35

26

26

26

55

55

55

14

14

14

36

36

36

25

25

25

43

43

43

18

18

18

64

64

64

5

5

5

44

44

44

17

17

17

63

63

63

6

6

6

43

43

43

18

18

18

64

64

64

5

5

5

44

44

44

17

17

17

63

63

63

6

6

6

43

43

43

18

18

18

64

64

64

5

5

5

44

44

44

17

17

17

63

63

63

6

6

6

30

30

30

39

39

39

9

9

9

52

52

52

29

29

29

40

40

40

10

10

10

51

51

51

30

30

30

39

39

39

9

9

9

52

52

52

29

29

29

40

40

40

10

10

10

51

51

51

30

30

30

39

39

39

9

9

9

52

52

52

29

29

29

40

40

40

10

10

10

51

51

51

3

3

3

58

58

58

24

24

24

45

45

45

4

4

4

57

57

57

23

23

23

46

46

46

3

3

3

58

58

58

24

24

24

45

45

45

4

4

4

57

57

57

23

23

23

46

46

46

3

3

3

58

58

58

24

24

24

45

45

45

4

4

4

57

57

57

23

23

23

46

46

46

54

54

54

15

15

15

33

33

33

28

28

28

53

53

53

16

16

16

34

34

34

27

27

27

54

54

54

15

15

15

33

33

33

28

28

28

53

53

53

16

16

16

34

34

34

27

27

27

54

54

54

15

15

15

33

33

33

28

28

28

53

53

53

16

16

16

34

34

34

27

27

27

41

41

41

20

20

20

62

62

62

7

7

7

42

42

42

19

19

19

61

61

61

8

8

8

41

41

41

20

20

20

62

62

62

7

7

7

42

42

42

19

19

19

61

61

61

8

8

8

41

41

41

20

20

20

62

62

62

7

7

7

42

42

42

19

19

19

61

61

61

8

8

8

32

32

32

37

37

37

11

11

11

50

50

50

31

31

31

38

38

38

12

12

12

49

49

49

32

32

32

37

37

37

11

11

11

50

50

50

31

31

31

38

38

38

12

12

12

49

49

49

32

32

32

37

37

37

11

11

11

50

50

50

31

31

31

38

38

38

12

12

12

49

49

49

 

 

+27x64x number from third grid with numbers 0 up to 7 [level 1]

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

7

7

7

0

0

0

7

7

7

0

0

0

7

7

7

0

0