Babylonian Base-60 Arithmetic: Optimized for Division, Not Polygon Geometry — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Babylonian base-60 (sexagesimal) arithmetic was optimized for exact division and astronomical computation, but the search results do not directly establish a link to regular polygon construction or harmonic ratios. | MATH: Base-60 factorization: 60 = 2² × 3 × 5; divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 (12 divisors). Key property: 1/60 = 0.016666…, and 60 is the smallest integer with 12 divisors, making it highly composite. Sexagesimal reciprocals are terminating: e.g., 1/2 = 0;30, 1/3 = 0;20, 1/4 = 0;15, 1/5 = 0;12, 1/6 = 0;10 (in base-60 notation). | CONNECTION: 60 = 6 × 10, and 6-fold rotational symmetry (hexagonal lattice) is a crystallographic symmetry; 60 also relates to the icosahedral/dodecahedral rotational group (order 60). However, the search results do not explicitly mention 0.382, 0.618, 0.786, or 1.618 — no direct golden ratio link is evidenced. The Plimpton 322 tablet (referenced) contains Pythagorean triples, implying knowledge of integer right triang
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026babylonian,
title = {{Babylonian Base-60 Arithmetic: Optimized for Division, Not Polygon Geometry — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446684},
url = {https://zenodo.org/records/23446684},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Babylonian Base-60 Arithmetic: Optimized for Division, Not Polygon Geometry — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446684
UR - https://zenodo.org/records/23446684
AB - FINDING: Babylonian base-60 (sexagesimal) arithmetic was optimized for exact division and astronomical computation, but the search results do not directly establish a link to regular polygon construction or harmonic ratios. | MATH: Base-60 factorization: 60 = 2² × 3 × 5; divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 (12 divisors). Key property: 1/60 = 0.016666…, and 60 is the smallest integer with 12 divisors, making it highly composite. Sexagesimal reciprocals are terminating: e.g., 1/2 = 0;30, 1/3 = 0;20, 1/4 = 0;15, 1/5 = 0;12, 1/6 = 0;10 (in base-60 notation). | CONNECTION: 60 = 6 × 10, and 6-fold rotational symmetry (hexagonal lattice) is a crystallographic symmetry; 60 also relates to the icosahedral/dodecahedral rotational group (order 60). However, the search results do not explicitly mention 0.382, 0.618, 0.786, or 1.618 — no direct golden ratio link is evidenced. The Plimpton 322 tablet (referenced) contains Pythagorean triples, implying knowledge of integer right triang Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -