RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.

68 results for "Yang Hui triangle" — page 1 of 4

V_3_04 Verified Mathematics & Information

V_3_04 — Combinatorics & Counting: Pascal's Triangle to Modern Applications

Combinatorics — the mathematics of counting, arrangement, and selection — is one of the oldest and most widely applicable branches of mathematics, with roots across multiple civilizations. Pascal's triangle — the triangu

combinatorics counting Pascal's triangle binomial coefficients Yang Hui Pingala
V_1_12 Verified Mathematics & Information

V_1_12 — Chinese Mathematics History

Chinese mathematics developed independently over at least 3,000 years, producing remarkable achievements often centuries before their European counterparts. The Jiuzhang Suanshu (Nine Chapters on the Mathematical Art, co

Chinese mathematics Nine Chapters rod calculus counting rods Liu Hui Zu Chongzhi
C_5_39 Credible Global Traditions

C_5_39 — Feng Shui: Chinese Geomancy, Spatial Harmony, and the Built Environment

Feng shui (風水, literally "wind-water") is a Chinese system of spatial analysis and environmental design with roots extending back at least 3,500 years, aimed at harmonizing human structures and activities with the natura

feng shui geomancy qi Chinese cosmology yin-yang five elements
U_2_11 Credible Art, Music & Culture

U_2_11 — Landscape Painting: Shanshui, Hudson River, and the Natural Sublime

Landscape painting — the artistic representation of natural scenery — is among the most culturally revealing genres in the history of art, because the way a culture depicts nature reveals its deepest assumptions about th

landscape painting shanshui Chinese landscape Hudson River School sublime picturesque
ZF_3_11 Verified Oceanography

ZF_3_11 — The Sargasso Sea, Bermuda Triangle, and Western Atlantic Anomalies

The Sargasso Sea is the only "sea" in the world defined not by coastlines but by ocean currents — a roughly elliptical region (~3.1 million km²) in the western North Atlantic, bounded by the Gulf Stream (west), North Atl

Sargasso Sea Bermuda Triangle Sargassum North Atlantic gyre methane hydrate compass variation
O_4_01 Credible Earth Anomalies

O_4_01 — Anomalous Zones: Skinwalker Ranch, Bermuda Triangle & Window Areas

"Anomalous zones" — geographic areas with allegedly high concentrations of unexplained phenomena — range from the verified-as-government-studied (Skinwalker Ranch/AAWSAP) to the largely debunked (Bermuda Triangle). Skinw

Skinwalker Ranch AAWSAP DIA Bermuda Triangle Kusche window areas
O_4_02 Verified Earth Anomalies

O_4_02 — Bermuda Triangle & Devil's Sea — Evidence & Explanations

The Bermuda Triangle — a roughly defined area between Miami, Bermuda, and Puerto Rico — became one of the 20th century's most enduring mysteries after a series of popularizations in the 1960s–1970s attributed an unusual

Bermuda Triangle Devil's Sea Dragon's Triangle disappearances Kusche methane hydrate
U_3_16 Credible Art, Music & Culture

U_3_16 — East Asian Painting Traditions: Chinese, Japanese, and Korean Ink Arts

East Asian painting — encompassing the interconnected but distinct traditions of China, Japan, and Korea — constitutes one of the world's longest continuous artistic traditions, spanning over two millennia and developing

Chinese painting Japanese painting Korean painting ink wash shanshui literati painting
A_4_10 Verified Foundations

A_4_10 — I Ching (Yijing) — The Classic of Changes

The I Ching (易經, Yìjīng, "Classic of Changes") is one of the oldest continuously used texts in human history, originating from Shang dynasty oracle bone divination (~1200 BCE) and formalized during the Western Zhou perio

I Ching Yijing Classic of Changes hexagrams trigrams yin-yang
A_4_07 Verified Foundations

A_4_07 — Tao Te Ching and Daoist Primary Texts

The Tao Te Ching (道德經, Daodejing) — attributed to Lao Tzu (Laozi, ~6th–4th century BCE) — is the foundational text of Daoist philosophy and one of the most translated works in human history. Its 81 brief chapters articul

Tao Te Ching Daodejing Lao Tzu Laozi Zhuangzi Chuang Tzu
U_1_16 Verified Art, Music & Culture

U_1_16 — Gamelan: Indonesian Bronze Orchestra Tradition

Gamelan — from the Javanese word gamel ("to hammer") — is the collective term for the bronze percussion orchestra traditions of Java, Bali, and neighboring Indonesian islands, representing one of the world's most acousti

gamelan Java Bali metallophone gong pelog
U_5_20 Verified Art, Music & Culture

U_5_20 — Sacred Geography: Landscape, Pilgrimage, and Ritual Space

Sacred geography is the study of how human cultures invest physical landscapes with spiritual, cosmological, and mythological significance — transforming terrain into hierophanic space where the divine intersects the mat

sacred geography sacred landscape pilgrimage ritual space axis mundi hierophany
U_4_10 Verified Art, Music & Culture

U_4_10 — Puppetry and Automata

Puppetry — the animation of inanimate figures to tell stories — is among the oldest performing arts, predating written drama. Shadow puppets: wayang kulit (Indonesia — intricately carved leather puppets cast against a ba

puppetry automata marionette shadow puppet wayang Bunraku
U_4_08 Verified Art, Music & Culture

U_4_08 — Garden Design & Sacred Landscapes

Gardens have served throughout human history as constructed intersections of nature, art, religion, and power — from the Persian pairidaeza (walled garden, the etymological root of "paradise") to Japanese Zen rock garden

garden design sacred landscape paradise Persian garden Zen garden Hanging Gardens
X_1_19 Credible Medicine & Healing

X_1_19 — Traditional Chinese Medicine

Traditional Chinese Medicine (TCM) is a comprehensive medical system with a continuous documented history spanning ~2,500 years, encompassing herbal medicine (~13,000 medicinals in the official pharmacopoeia), acupunctur

traditional-chinese-medicine tcm acupuncture herbal-medicine qi yin-yang
X_1_03 Verified Medicine & Healing

X_1_03 — Traditional Chinese Medicine: Acupuncture, Meridians, Pharmacopoeia

Traditional Chinese Medicine (TCM) is a comprehensive medical system with continuous documented practice spanning over 2,000 years — organized around the concepts of qi (vital energy), yin-yang (complementary opposites),

Traditional Chinese Medicine TCM acupuncture meridians qi yin yang
W_4_02 Verified World Civilizations

W_4_02 — Polynesian Navigation and Rapa Nui

The Polynesian settlement of the Pacific Ocean — the largest migration in human prehistory — colonized virtually every inhabitable island across 16 million km² of open ocean using non-instrument navigation techniques of

Polynesia Polynesian navigation star compass wayfinding Rapa Nui Easter Island
W_4_13 Credible World Civilizations

W_4_13 — Aztec Empire: Tenochtitlan, Sacrifice, and Cosmovision

The Aztec Empire — more precisely the Mexica-led Triple Alliance (c. 1428–1521 CE) of Tenochtitlan, Texcoco, and Tlacopan — was the dominant political and military power in Mesoamerica at the time of the Spanish arrival.

Aztec Mexica Tenochtitlan Triple Alliance human sacrifice Templo Mayor
W_3_01 Verified World Civilizations

W_3_01 — Bantu Cosmology, Migration, and Iron Traditions

The Bantu expansion (~3000 BCE–500 CE) is one of the largest and most consequential human migrations in history: speakers of proto-Bantu languages from the Nigeria-Cameroon borderland spread across most of sub-Saharan Af

Bantu Bantu expansion Bantu migration Niger-Congo proto-Bantu iron smelting
W_2_19 Credible World Civilizations

W_2_19 — Shang & Zhou Dynasty Bronze Civilization

The Shang (c. 1600–1046 BCE) and Western Zhou (c. 1046–771 BCE) dynasties represent the formative period of Chinese civilization, producing the world's most sophisticated bronze technology, the earliest Chinese writing s

Shang dynasty Zhou dynasty bronze casting oracle bones Anyang Sanxingdui