4x4x4x4 magic hypercube

A Nasik 4x4x4x4 cube does not exist. There are 4x4x4x4 magic cubes with different magic features; see on website http://homepage2.nifty.com/googol/magcube/en/tesser.htm

On the above mentioned website you can find a pantriagonal & panquadragonal 4x4x4x4 cube, which is 2x2(x2x2) compact. In my opinion this is the most perfect 4x4x4x4 cube.

It is easy to construct this 4x4x4x4 magic cube. In both grids you must choose one of the 4x4 panmagic squares.

First grid of the 4x4x4x4 pantriagonal & panquadragonal cube

		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34

34		1	8	13	12		34	16	9	4	5	34	1	8	13	12	34		16	9	4	5			34	34	34	34
34		15	10	3	6		34	2	7	14	11	34	15	10	3	6	34		2	7	14	11			34	34	34	34
34		4	5	16	9		34	13	12	1	8	34	4	5	16	9	34		13	12	1	8			34	34	34	34
34		14	11	2	7		34	3	6	15	10	34	14	11	2	7	34		3	6	15	10			34	34	34	34

		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34

34		16	9	4	5		34	1	8	13	12	34	16	9	4	5	34		1	8	13	12			34	34	34	34
34		2	7	14	11		34	15	10	3	6	34	2	7	14	11	34		15	10	3	6			34	34	34	34
34		13	12	1	8		34	4	5	16	9	34	13	12	1	8	34		4	5	16	9			34	34	34	34
34		3	6	15	10		34	14	11	2	7	34	3	6	15	10	34		14	11	2	7			34	34	34	34

		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34

34		1	8	13	12		34	16	9	4	5	34	1	8	13	12	34		16	9	4	5			34	34	34	34
34		15	10	3	6		34	2	7	14	11	34	15	10	3	6	34		2	7	14	11			34	34	34	34
34		4	5	16	9		34	13	12	1	8	34	4	5	16	9	34		13	12	1	8			34	34	34	34
34		14	11	2	7		34	3	6	15	10	34	14	11	2	7	34		3	6	15	10			34	34	34	34

		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34

34		16	9	4	5		34	1	8	13	12	34	16	9	4	5	34		1	8	13	12			34	34	34	34
34		2	7	14	11		34	15	10	3	6	34	2	7	14	11	34		15	10	3	6			34	34	34	34
34		13	12	1	8		34	4	5	16	9	34	13	12	1	8	34		4	5	16	9			34	34	34	34
34		3	6	15	10		34	14	11	2	7	34	3	6	15	10	34		14	11	2	7			34	34	34	34
	34					34												34					34
34							34										34							34
		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34
		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34
		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34
		34	34	34	34			34	34	34	34		34	34	34	34			34	34	34	34

Second grid of the 4x4x4x4 pantriagonal & panquadragonal cube

	34	34	34	34		34	34	34	34		34	34	34	34		34	34	34	34

34	1	16	1	16	34	8	9	8	9	34	13	4	13	4	34	12	5	12	5	34	34	34	34
34	16	1	16	1	34	9	8	9	8	34	4	13	4	13	34	5	12	5	12	34	34	34	34
34	1	16	1	16	34	8	9	8	9	34	13	4	13	4	34	12	5	12	5	34	34	34	34
34	16	1	16	1	34	9	8	9	8	34	4	13	4	13	34	5	12	5	12	34	34	34	34

	34	34	34	34		34	34	34	34		34	34	34	34		34	34	34	34

34	15	2	15	2	34	10	7	10	7	34	3	14	3	14	34	6	11	6	11	34	34	34	34
34	2	15	2	15	34	7	10	7	10	34	14	3	14	3	34	11	6	11	6	34	34	34	34
34	15	2	15	2	34	10	7	10	7	34	3	14	3	14	34	6	11	6	11	34	34	34	34
34	2	15	2	15	34	7	10	7	10	34	14	3	14	3	34	11	6	11	6	34	34	34	34

	34	34	34	34		34	34	34	34		34	34	34	34		34	34	34	34

34