Icosahedral Symmetry and T-Numbers: The Geometric Principle of Viral Capsid Architecture — E8 Intelligence Research

FINDING: Icosahedral symmetry is the dominant structural principle for viral capsids, enabling maximal volume enclosure with minimal genetic material via quasi-equivalent triangulation numbers (T-numbers). MATH: Icosahedral symmetry group order = 60; T-number formula: T = h² + hk + k² (h, k non-negative integers); capsid protein count = 60T; allowed T = 1, 3, 4, 7, 9, 12, 13, 16, 19, 21, 25, 27, 28, 31, 37, 39, 43, 48, 49, 52, 57, 61, 63, 64, 67, 73, 75, 76, 79, 81, 84, 91, 93, 97, 100, 103, 108, 109, 111, 112, 117, 121, 124, 127, 129, 133, 139, 144, 147, 148, 151, 156, 157, 163, 169, 171, 172, 175, 181, 183, 189, 192, 193, 196, 199, 201, 208, 211, 217, 219, 223, 228, 229, 237, 241, 243, 244, 247, 252, 256, 259, 261, 268, 271, 273, 277, 279, 283, 289, 291, 292, 300, 301, 304, 307, 309, 313, 316, 324, 325, 327, 331, 333, 336, 337, 343, 349, 351, 352, 361, 363, 364, 367, 372, 373, 379, 381, 387, 388, 397, 399, 400, ... CONNECTION: Icosahedral symmetry is dual to dodecahedral symmetry Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com