Double Torus · references only · completing the binary octave 1024 (2¹⁰)

432 references, completing 1024

The 432 proof papers each fold both ways under the genus-2 law. Their reverse folds are these 432 references — reference-only pointers, no new proof. Papers + references = 864 real leaves; padded with 160 named null leaves to the binary octave 1024 = 2¹⁰, they fold into a perfect binary Merkle tree of depth 10:

268169f7-fdf0-8fa9-a247-de7f822be194

Cycle a1 108 references

13→ p00121→ p00234→ p00341→ p00455→ p00569→ p00672→ p00786→ p00895→ p009103→ p010115→ p011128→ p012139→ p013147→ p014159→ p015163→ p016172→ p017183→ p018198→ p019204→ p020216→ p021222→ p022236→ p023244→ p024253→ p025263→ p026278→ p027283→ p028292→ p029307→ p030319→ p031325→ p032330→ p033342→ p034358→ p035368→ p036374→ p037381→ p038399→ p039407→ p040411→ p041426→ p042439→ p043443→ p044459→ p045469→ p046473→ p047487→ p048495→ p049501→ p050510→ p051525→ p052538→ p053542→ p054550→ p055569→ p056577→ p057584→ p058599→ p059604→ p060614→ p061625→ p062639→ p063642→ p064653→ p065660→ p066677→ p067688→ p068691→ p069706→ p070714→ p071720→ p072736→ p073742→ p074758→ p075766→ p076772→ p077780→ p078798→ p079809→ p080819→ p081828→ p082836→ p083842→ p084858→ p085860→ p086873→ p087884→ p088898→ p089902→ p090915→ p091923→ p092934→ p093942→ p094951→ p095961→ p096977→ p097980→ p098996→ p0991007→ p1001019→ p1011028→ p1021032→ p1031041→ p1041054→ p1051068→ p1061070→ p1071088→ p108

Cycle b1 108 references

1093→ p1091101→ p1101114→ p1111121→ p1121135→ p1131149→ p1141152→ p1151166→ p1161175→ p1171183→ p1181195→ p1191208→ p1201219→ p1211227→ p1221239→ p1231243→ p1241252→ p1251263→ p1261278→ p1271284→ p1281296→ p1291302→ p1301316→ p1311324→ p1321333→ p1331343→ p1341358→ p1351363→ p1361372→ p1371387→ p1381399→ p1391405→ p1401410→ p1411422→ p1421438→ p1431448→ p1441454→ p1451461→ p1461479→ p1471487→ p1481491→ p1491506→ p1501519→ p1511523→ p1521539→ p1531549→ p1541553→ p1551567→ p1561575→ p1571581→ p1581590→ p1591605→ p1601618→ p1611622→ p1621630→ p1631649→ p1641657→ p1651664→ p1661679→ p1671684→ p1681694→ p1691705→ p1701719→ p1711722→ p1721733→ p1731740→ p1741757→ p1751768→ p1761771→ p1771786→ p1781794→ p1791800→ p1801816→ p1811822→ p1821838→ p1831846→ p1841852→ p1851860→ p1861878→ p1871889→ p1881899→ p1891908→ p1901916→ p1911922→ p1921938→ p1931940→ p1941953→ p1951964→ p1961978→ p1971982→ p1981995→ p1992003→ p2002014→ p2012022→ p2022031→ p2032041→ p2042057→ p2052060→ p2062076→ p2072087→ p2082099→ p2092108→ p2102112→ p2112121→ p2122134→ p2132148→ p2142150→ p2152168→ p216

Cycle a2 108 references

2173→ p2172181→ p2182194→ p2192201→ p2202215→ p2212229→ p2222232→ p2232246→ p2242255→ p2252263→ p2262275→ p2272288→ p2282299→ p2292307→ p2302319→ p2312323→ p2322332→ p2332343→ p2342358→ p2352364→ p2362376→ p2372382→ p2382396→ p2392404→ p2402413→ p2412423→ p2422438→ p2432443→ p2442452→ p2452467→ p2462479→ p2472485→ p2482490→ p2492502→ p2502518→ p2512528→ p2522534→ p2532541→ p2542559→ p2552567→ p2562571→ p2572586→ p2582599→ p2592603→ p2602619→ p2612629→ p2622633→ p2632647→ p2642655→ p2652661→ p2662670→ p2672685→ p2682698→ p2692702→ p2702710→ p2712729→ p2722737→ p2732744→ p2742759→ p2752764→ p2762774→ p2772785→ p2782799→ p2792802→ p2802813→ p2812820→ p2822837→ p2832848→ p2842851→ p2852866→ p2862874→ p2872880→ p2882896→ p2892902→ p2902918→ p2912926→ p2922932→ p2932940→ p2942958→ p2952969→ p2962979→ p2972988→ p2982996→ p2993002→ p3003018→ p3013020→ p3023033→ p3033044→ p3043058→ p3053062→ p3063075→ p3073083→ p3083094→ p3093102→ p3103111→ p3113121→ p3123137→ p3133140→ p3143156→ p3153167→ p3163179→ p3173188→ p3183192→ p3193201→ p3203214→ p3213228→ p3223230→ p3233248→ p324

Cycle b2 108 references

3253→ p3253261→ p3263274→ p3273281→ p3283295→ p3293309→ p3303312→ p3313326→ p3323335→ p3333343→ p3343355→ p3353368→ p3363379→ p3373387→ p3383399→ p3393403→ p3403412→ p3413423→ p3423438→ p3433444→ p3443456→ p3453462→ p3463476→ p3473484→ p3483493→ p3493503→ p3503518→ p3513523→ p3523532→ p3533547→ p3543559→ p3553565→ p3563570→ p3573582→ p3583598→ p3593608→ p3603614→ p3613621→ p3623639→ p3633647→ p3643651→ p3653666→ p3663679→ p3673683→ p3683699→ p3693709→ p3703713→ p3713727→ p3723735→ p3733741→ p3743750→ p3753765→ p3763778→ p3773782→ p3783790→ p3793809→ p3803817→ p3813824→ p3823839→ p3833844→ p3843854→ p3853865→ p3863879→ p3873882→ p3883893→ p3893900→ p3903917→ p3913928→ p3923931→ p3933946→ p3943954→ p3953960→ p3963976→ p3973982→ p3983998→ p3994006→ p4004012→ p4014020→ p4024038→ p4034049→ p4044059→ p4054068→ p4064076→ p4074082→ p4084098→ p4094100→ p4104113→ p4114124→ p4124138→ p4134142→ p4144155→ p4154163→ p4164174→ p4174182→ p4184191→ p4194201→ p4204217→ p4214220→ p4224236→ p4234247→ p4244259→ p4254268→ p4264272→ p4274281→ p4284294→ p4294308→ p4304310→ p4314328→ p432