To find new construction methods you must analyze magic squares.

 

I have splitted a (most perfect) Franklin panmagic 32x32 square in grids with 4x4 Sudoku sub-squares.

 

 

32x32 (most perfect) Franklin panmagic square

15	1014	124	897	127	902	12	1009	31	998	108	913	111	918	28	993	47	982	92	929	95	934	44	977	63	966	76	945	79	950	60	961
1012	9	903	126	900	121	1015	14	996	25	919	110	916	105	999	30	980	41	935	94	932	89	983	46	964	57	951	78	948	73	967	62
901	128	1010	11	1013	16	898	123	917	112	994	27	997	32	914	107	933	96	978	43	981	48	930	91	949	80	962	59	965	64	946	75
122	899	13	1016	10	1011	125	904	106	915	29	1000	26	995	109	920	90	931	45	984	42	979	93	936	74	947	61	968	58	963	77	952
911	118	1020	1	1023	6	908	113	927	102	1004	17	1007	22	924	97	943	86	988	33	991	38	940	81	959	70	972	49	975	54	956	65
116	905	7	1022	4	1017	119	910	100	921	23	1006	20	1001	103	926	84	937	39	990	36	985	87	942	68	953	55	974	52	969	71	958
5	1024	114	907	117	912	2	1019	21	1008	98	923	101	928	18	1003	37	992	82	939	85	944	34	987	53	976	66	955	69	960	50	971
1018	3	909	120	906	115	1021	8	1002	19	925	104	922	99	1005	24	986	35	941	88	938	83	989	40	970	51	957	72	954	67	973	56
143	886	252	769	255	774	140	881	159	870	236	785	239	790	156	865	175	854	220	801	223	806	172	849	191	838	204	817	207	822	188	833
884	137	775	254	772	249	887	142	868	153	791	238	788	233	871	158	852	169	807	222	804	217	855	174	836	185	823	206	820	201	839	190
773	256	882	139	885	144	770	251	789	240	866	155	869	160	786	235	805	224	850	171	853	176	802	219	821	208	834	187	837	192	818	203
250	771	141	888	138	883	253	776	234	787	157	872	154	867	237	792	218	803	173	856	170	851	221	808	202	819	189	840	186	835	205	824
783	246	892	129	895	134	780	241	799	230	876	145	879	150	796	225	815	214	860	161	863	166	812	209	831	198	844	177	847	182	828	193
244	777	135	894	132	889	247	782	228	793	151	878	148	873	231	798	212	809	167	862	164	857	215	814	196	825	183	846	180	841	199	830
133	896	242	779	245	784	130	891	149	880	226	795	229	800	146	875	165	864	210	811	213	816	162	859	181	848	194	827	197	832	178	843
890	131	781	248	778	243	893	136	874	147	797	232	794	227	877	152	858	163	813	216	810	211	861	168	842	179	829	200	826	195	845	184
271	758	380	641	383	646	268	753	287	742	364	657	367	662	284	737	303	726	348	673	351	678	300	721	319	710	332	689	335	694	316	705
756	265	647	382	644	377	759	270	740	281	663	366	660	361	743	286	724	297	679	350	676	345	727	302	708	313	695	334	692	329	711	318
645	384	754	267	757	272	642	379	661	368	738	283	741	288	658	363	677	352	722	299	725	304	674	347	693	336	706	315	709	320	690	331
378	643	269	760	266	755	381	648	362	659	285	744	282	739	365	664	346	675	301	728	298	723	349	680	330	691	317	712	314	707	333	696
655	374	764	257	767	262	652	369	671	358	748	273	751	278	668	353	687	342	732	289	735	294	684	337	703	326	716	305	719	310	700	321
372	649	263	766	260	761	375	654	356	665	279	750	276	745	359	670	340	681	295	734	292	729	343	686	324	697	311	718	308	713	327	702
261	768	370	651	373	656	258	763	277	752	354	667	357	672	274	747	293	736	338	683	341	688	290	731	309	720	322	699	325	704	306	715
762	259	653	376	650	371	765	264	746	275	669	360	666	355	749	280	730	291	685	344	682	339	733	296	714	307	701	328	698	323	717	312
399	630	508	513	511	518	396	625	415	614	492	529	495	534	412	609	431	598	476	545	479	550	428	593	447	582	460	561	463	566	444	577
628	393	519	510	516	505	631	398	612	409	535	494	532	489	615	414	596	425	551	478	548	473	599	430	580	441	567	462	564	457	583	446
517	512	626	395	629	400	514	507	533	496	610	411	613	416	530	491	549	480	594	427	597	432	546	475	565	464	578	443	581	448	562	459
506	515	397	632	394	627	509	520	490	531	413	616	410	611	493	536	474	547	429	600	426	595	477	552	458	563	445	584	442	579	461	568
527	502	636	385	639	390	524	497	543	486	620	401	623	406	540	481	559	470	604	417	607	422	556	465	575	454	588	433	591	438	572	449
500	521	391	638	388	633	503	526	484	537	407	622	404	617	487	542	468	553	423	606	420	601	471	558	452	569	439	590	436	585	455	574
389	640	498	523	501	528	386	635	405	624	482	539	485	544	402	619	421	608	466	555	469	560	418	603	437	592	450	571	453	576	434	587
634	387	525	504	522	499	637	392	618	403	541	488	538	483	621	408	602	419	557	472	554	467	605	424	586	435	573	456	570	451	589	440

 

 

First grid (number +1)

2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3
2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0
3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1
0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2
1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3

 

 

Second grid (number x 4)

3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1
3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0
0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3
1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2	1	3	0	2
2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1	2	0	3	1

 

 

Third grid (number x 16)

0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3
0	3	3	0	3	0	0	3	1	2	2	1	2	1	1	2	2	1	1	2	1	2	2	1	3	0	0	3	0	3	3	0
3	0	0	3	0	3	3	0	2	1	1	2	1	2	2	1	1	2	2	1	2	1	1	2	0	3	3	0	3	0	0	3

 

 

Fourth grid (number x 64)

0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3
3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0
2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1	2	1	3	0	3	0	2	1
1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2	1	2	0	3	0	3	1	2

 

 

Fifth grid (number x 64)

0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3
3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0	3	0
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1

 

 

The grids have a very simple structure. You can change the sequence of the grids in random order and you can swap numbers in the grids to get new 32x32 (most perfect) Franklin panmagic squares.

 

 

Use this method [Sudoku method (1)] to construct magic squares of order is 2^n (= 2x2, 2x2x2, 2x2x2x2, ...) from 4x4 to infinity. See 4x4, 8x8, 16x16, 32x32