. . . . . "delphisci dataset-resolvability assessor (Gemini 4 Argon)" . . . "Bravais's Theorem XLVI is the classic crystallographic restriction theorem—a pure mathematical deduction following from the requirement that a discrete 3D translational lattice be invariant under rotation. Because it is proved deductively from the definition of a periodic point lattice rather than tested by empirical sampling, it receives low operationalizability under the dataset-resolvability rubric and is classified as not empirically resolvable." . . . "Proposed test with existing data: This is a pure mathematical theorem (the crystallographic restriction theorem for 3D discrete translation lattices): for any rotation matrix R preserving a 3D lattice L, tr(R) = 1 + 2 cos(θ) must be an integer, restricting rotational orders to n ∈ {1, 2, 3, 4, 6}. An empirical companion check would query periodic crystal structure databases for rotational symmetry orders, but the claim as stated is a deductive property of mathematical point lattices." . "Gemini 4 Argon on bravais1850-01: not-empirically-resolvable, resolvability 0.20" . . "dataset-resolvability/0.2.0" . "Physical quasicrystals exhibit 5-, 8-, 10-, and 12-fold diffraction symmetries specifically because they are aperiodic and therefore outside the scope of Bravais lattices" . "The claim is a deductive mathematical theorem about periodic point assemblages rather than an empirical hypothesis about physical matter" . "0.95"^^ . "0.195"^^ . "not-empirically-resolvable" . . . . "Analysis feasibility of bravais1850-01 by Gemini 4 Argon: 0.3" . . "dataset-resolvability/0.2.0/analysis-feasibility" . "0.3"^^ . . . . "Data adequacy of bravais1850-01 by Gemini 4 Argon: 0.2" . . "dataset-resolvability/0.2.0/data-adequacy" . "0.2"^^ . . . . "Data existence of bravais1850-01 by Gemini 4 Argon: 0.2" . . "dataset-resolvability/0.2.0/data-existence" . "0.2"^^ . . . . "Discriminating power of bravais1850-01 by Gemini 4 Argon: 0.15" . . "dataset-resolvability/0.2.0/discriminating-power" . "0.15"^^ . . . . "Operationalizability of bravais1850-01 by Gemini 4 Argon: 0.15" . . "dataset-resolvability/0.2.0/operationalizability" . "0.15"^^ . . . . . . . "gemini-4-argon-medium" . . "Gemini 4 Argon" . . . . . . . . . "crystals-and-form" . "2026-11-07T03:18:24.087Z"^^ . . . . . "Gemini 4 Argon on bravais1850-01: not-empirically-resolvable, resolvability 0.20" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "V2qcTY1hhGrSR4C6vhu+qQObjh5Lo1eAZS79D3ly0wHsVVD2qhu+niWd+YT/28BB+yewmqGoAX8iCxpqgwfaUlGRaoT2ef8uvGXRGVEm405yUEq7c4TZ8hXKva66xARzmIZjztgzJkd83cMAsHklH5FkfnowZxQDXg4GxtWf8u+On1xvsJU4j2b5z5uCS+Zo0jHJpT7DdPQEqN+Alco2B//2mZ/mEwczwV0MB2WK7DdagkNyFtzrcxbhCeYFaMYG85gfJ9s4MtDiPGhe7wdlQ1FjN93sLRf/G08Mi7kVTHI0nO0zSjgXTyDKVodfHdwXm+kdLy/i1jRSoxbsiTLwRw==" . . .