RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
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.
369 results for "planar graph" — page 4 of 19
ZD_4_13 — Network Science: Graph Theory, Small Worlds, and Scale-Free Networks
Network science is the study of complex systems represented as networks (graphs) — collections of nodes (vertices) connected by edges (links) — encompassing social networks (people connected by friendships, collaboration
ZD_4_01 — Cryptography — From Caesar Cipher to Quantum Key Distribution
Cryptography — the science of secret communication — has evolved from ancient substitution ciphers to mathematically proven security systems that underpin the modern digital world. Julius Caesar shifted letters by three
F_4_02 — Ancient Maps and Impossible Cartography
A handful of historical maps appear to depict geographic features that, according to conventional history, were unknown at the time of their creation. The Piri Reis Map (1513) shows what may be the coastline of Antarctic
ZA_2_19 — Holographic Principle & AdS/CFT Correspondence: Gravity as Information
The holographic principle — the proposition that all information contained within a volume of space can be encoded on the boundary surface enclosing that volume — ranks among the most profound conceptual shifts in theore
V_3_02 — Graph Theory & Network Mathematics
Graph theory — the mathematics of networks, connections, and relationships — began with Euler's Königsberg bridge problem (1736) and has become one of the most broadly applicable branches of mathematics, with direct rele
M_5_06 — Map Controversies: Vinland Map, Zeno Map, Buache Map
Beyond the famous Piri Reis map (treated in M_5_03), several other historical maps have generated intense controversy over whether they depict geographical knowledge that "shouldn't" have existed at the time they were cr
M_5_07 — Impossible Ancient Maps of Antarctica: Critical Assessment
Among the most provocative claims in alternative history is the assertion that several medieval and Renaissance-era maps depict Antarctica — a continent not officially discovered until 1820 and not mapped until the 20th
M_3_12 — Stone Softening Claims: Mythological and Chemical Analysis
Among the most intriguing and elusive claims in alternative archaeology is the idea that ancient Andean peoples possessed a botanical or chemical method of "softening" stone — reducing hard stone (particularly the andesi
A_2_16 — Testament of Solomon: Demonology, Architecture, and Rings of Power
The Testament of Solomon (Diathēkē Solomōntos) is a pseudepigraphic text (c. 1st–5th century CE, probably 3rd century) in which King Solomon narrates how he received a magical ring from the Archangel Michael, enabling hi
A_2_11 — Book of Jubilees: Angelic Calendar and Retold Genesis
The Book of Jubilees (also called Leptogenesis or "Little Genesis") is a Second Temple Jewish text (composed c. 160–150 BCE) that retells the narrative of Genesis 1 through Exodus 12 as a revelation dictated to Moses on
A_2_20 — Odes of Solomon: Early Christian Mystical Hymns
The Odes of Solomon are a collection of 42 hymns dating to the late 1st or early 2nd century CE, composed originally in Syriac (or possibly Greek), making them the earliest surviving Christian hymnal. Rediscovered in 190
U_1_23 — Aboriginal Songlines
Songlines (also called dreaming tracks, song cycles, or *yiri in some Aboriginal languages) are an ancient system of oral navigation, cultural law, and cosmological knowledge used by Aboriginal Australian peoples — repre
ZH_4_04 — Dogon Astronomy: Sirius B Debate and Modern Assessment
The Dogon are a West African people living on the Bandiagara Escarpment in Mali, known for a complex cosmological system documented by the French anthropologist Marcel Griaule in a series of publications beginning in 194
ZF_3_08 — Sunda Shelf and Southeast Asian Submerged Landscapes
The Sunda Shelf (or Sundaland) is one of Earth's largest continental shelves — an area of ~1.8 million km² (larger than the Indian subcontinent) that connects the islands of Borneo, Sumatra, Java, and Bali to peninsular
ZF_3_06 — Polynesian and Indigenous Ocean Knowledge
Indigenous and Pacific Islander communities have accumulated millennia of empirical ocean knowledge — encompassing navigation, marine ecology, fisheries management, weather prediction, tidal patterns, and ocean-land rela
ZF_3_13 — Sacred Seas — Ocean Mythology and Maritime Ritual Worldwide
Every major maritime culture has developed elaborate mythological frameworks for understanding and relating to the sea — systems of divine governance, ritual propitiation, and cosmological meaning that reflect genuine ec
ZF_3_01 — Sea-Level History: Glacial Cycles, Meltwater Pulses, and Coastal Archaeology
Sea level has varied by over 120 meters between glacial and interglacial periods, repeatedly reshaping coastlines, exposing and flooding continental shelves, and creating or destroying land bridges that directed human mi
ZF_3_10 — Marine Paleontology and the Fossil Record of the Seas
Marine paleontology documents the evolution of life in Earth's oceans over ~3.8 billion years — from the earliest microbial fossils (stromatolites, ~3.5 Ga) to the complex marine ecosystems of the modern ocean. The marin
ZF_5_01 — Autonomous Underwater Vehicles and Ocean Exploration Technology
Ocean exploration technology — from early human-occupied submersibles to modern autonomous underwater vehicles (AUVs) — has progressively opened the deep ocean to scientific investigation, driving transformative discover
ZF_5_02 — Sonar and Acoustic Ocean Sensing: Technology and Discovery
Sonar (SOund NAvigation and Ranging) is the primary technology for sensing the underwater environment — an acoustic analog to radar that exploits the fact that sound travels efficiently through water while electromagneti
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