X₃₇₅₃

X₂com[INVERSE(n(HEXYL TRIANGLE))]

X₃₇₅₃ = X₂-of-inverse(n(hexyl triangle))

5, 6, 7 3, 4, 5 Kepler Kimberling

X₃₇₅₃ (X₂com[INVERSE(n(HEXYL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {10, 12}, {2, 392}

• Related Centers: X₁₀ (SPIEKER CENTER), X₁₂ ({X), X₂ (CENTROID), X₃₉₂ (X(1,6)∩X(10,11))

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(a^{2} - b^{2} - c^{2} + 4bc)\)

Search Value (6, 9, 13): \(2.242508060505\)

▸ Linear Combinations1 combination

• X₃₇₅₃ = X₃₇₆com[Extouch]

▸ Incident Central Lines40 lines

{1, 474}, {2, 392}, {5, 1519}, {7, 3421}, {8, 443}, {9, 2093}, {10, 12}, {21, 3579}, {37, 1018}, {40, 405}, {46, 958}, {57, 956}, {80, 3255}, {142, 1145}, {318, 1148}, {354, 519}, {355, 377}, {374, 2835}, {375, 2390}, {404, 1385}, {406, 1902}, {475, 1829}, {518, 599}, {551, 2802}, {856, 1214}, {860, 1824}, {936, 3340}, {960, 1698}, {993, 1155}, {997, 2099}, {999, 3306}, {1012, 3359}, {1125, 3057}, {1378, 2362}, {1439, 1441}, {1737, 2886}, {1845, 3040}, {1861, 1905}, {2550, 3419}, {2650, 3214}

▸ Functional Relations1 relation

• X₃₇₅₃ = X₂-of-inverse(n(hexyl triangle))