# Mapping Data Structures ⎊ Area ⎊ Resource 1 --- ## What is the Algorithm of Mapping Data Structures? Mapping data structures within computational finance represent the systematic procedures employed to transform raw market information into actionable signals for derivative pricing and risk assessment. These algorithms frequently utilize tree-based structures, such as k-d trees or quadtrees, to efficiently index and search high-dimensional data inherent in options surfaces and cryptocurrency price histories. Effective implementation necessitates consideration of computational complexity, particularly when dealing with real-time data feeds and high-frequency trading strategies, impacting execution speed and profitability. The selection of an appropriate algorithm directly influences the accuracy of implied volatility calculations and the precision of delta hedging strategies. ## What is the Architecture of Mapping Data Structures? The architectural design of systems handling mapping data structures in cryptocurrency and derivatives trading demands a robust and scalable infrastructure capable of managing substantial data volumes and low-latency requirements. Distributed databases and in-memory data grids are commonly employed to facilitate rapid access to market data, order books, and historical price series. A modular architecture allows for independent scaling of components, such as data ingestion pipelines, pricing engines, and risk management modules, enhancing system resilience and adaptability. Consideration of network bandwidth and data serialization formats is crucial for minimizing latency and maximizing throughput. ## What is the Data of Mapping Data Structures? Data forms the foundational element for mapping data structures utilized in options and cryptocurrency derivatives, encompassing a diverse range of market information. This includes time-series price data, order book snapshots, implied volatility surfaces, and correlation matrices, all of which are essential for accurate pricing and risk modeling. Data quality, encompassing completeness, accuracy, and timeliness, is paramount, as errors can propagate through the system and lead to significant financial losses. Effective data governance and validation procedures are therefore critical components of a reliable trading infrastructure, ensuring the integrity of derived insights. --- ## [On-Chain Data](https://term.greeks.live/definition/on-chain-data/) Publicly accessible information recorded directly on a blockchain, such as transaction history and asset flows. ⎊ Definition ## [On-Chain Data Feeds](https://term.greeks.live/definition/on-chain-data-feeds/) Secure conduits delivering real-time external data to smart contracts for automated financial execution and settlement. ⎊ Definition ## [Data Feeds](https://term.greeks.live/term/data-feeds/) Meaning ⎊ Data feeds for crypto options provide real-time pricing and implied volatility data, serving as the critical input for risk management and settlement processes. ⎊ Definition ## [Non-Linear Payoff Structures](https://term.greeks.live/term/non-linear-payoff-structures/) Meaning ⎊ Non-linear payoff structures create asymmetric risk profiles, enabling precise risk transfer and capital-efficient speculation on volatility rather than direction. ⎊ Definition ## [Incentive Structures](https://term.greeks.live/definition/incentive-structures/) Economic designs that motivate participants to contribute to the health and growth of a decentralized network. ⎊ Definition ## [Order Book Data Analysis](https://term.greeks.live/term/order-book-data-analysis/) Meaning ⎊ Order book data analysis dissects real-time supply and demand to assess market liquidity and predict short-term price pressure in crypto derivatives. ⎊ Definition ## [Order Book Data](https://term.greeks.live/term/order-book-data/) Meaning ⎊ Order Book Data provides real-time insights into market volatility expectations and liquidity dynamics, essential for pricing and managing crypto options risk. ⎊ Definition ## [Off Chain Data Feeds](https://term.greeks.live/term/off-chain-data-feeds/) Meaning ⎊ Off Chain Data Feeds provide the critical external data for pricing and liquidating decentralized options, representing the primary vector for systemic risk and financial innovation in DeFi derivatives. ⎊ Definition ## [On-Chain Data Verification](https://term.greeks.live/definition/on-chain-data-verification/) Cryptographic or consensus-based validation of external data to ensure its integrity before smart contract processing. ⎊ Definition ## [Off-Chain Data Sources](https://term.greeks.live/term/off-chain-data-sources/) Meaning ⎊ Off-chain data sources provide external price feeds essential for the accurate settlement and risk management of decentralized crypto options contracts. ⎊ Definition ## [Data Integrity Verification](https://term.greeks.live/definition/data-integrity-verification/) The process of ensuring that data remains accurate and unaltered throughout its lifecycle using cryptographic validation. ⎊ Definition ## [Dynamic Fee Structures](https://term.greeks.live/definition/dynamic-fee-structures/) Automated fee adjustment mechanisms that respond to market volatility and liquidity demand. ⎊ Definition ## [Oracle Data Feeds](https://term.greeks.live/definition/oracle-data-feeds/) External data sources providing real-time price information to smart contracts to enable accurate financial calculations. ⎊ Definition ## [Off-Chain Data](https://term.greeks.live/term/off-chain-data/) Meaning ⎊ Off-chain data provides essential price feeds for decentralized derivatives, enabling accurate valuation, risk management, and settlement in a hybrid architecture. ⎊ Definition ## [On-Chain Data Integrity](https://term.greeks.live/term/on-chain-data-integrity/) Meaning ⎊ On-chain data integrity ensures the reliability of data inputs for decentralized options protocols, mitigating manipulation risks and enabling secure collateral management and contract settlement. ⎊ Definition ## [Market Data Feeds](https://term.greeks.live/definition/market-data-feeds/) Digital pipelines transmitting real-time price and volume data from exchanges to traders for analysis and execution. ⎊ Definition ## [Off-Chain Data Aggregation](https://term.greeks.live/definition/off-chain-data-aggregation/) Processing and combining external data before submitting it to the blockchain for on-chain use. ⎊ Definition ## [Data Providers](https://term.greeks.live/term/data-providers/) Meaning ⎊ Data providers for crypto options deliver essential implied volatility surfaces and risk metrics to protocols, bridging off-chain market reality with on-chain financial models. ⎊ Definition ## [Off-Chain Data Computation](https://term.greeks.live/term/off-chain-data-computation/) Meaning ⎊ Off-chain data computation enables crypto options protocols to perform complex financial calculations efficiently and securely by decoupling intensive logic from the blockchain settlement layer. ⎊ Definition ## [Data Integrity Proofs](https://term.greeks.live/term/data-integrity-proofs/) Meaning ⎊ Data Integrity Proofs ensure the accuracy of off-chain data inputs, providing cryptographic certainty for decentralized options settlement and risk management. ⎊ Definition ## [Data Verification](https://term.greeks.live/term/data-verification/) Meaning ⎊ Data verification in crypto options ensures accurate pricing and settlement by securely bridging external market data, particularly volatility, with on-chain smart contract logic. ⎊ Definition ## [Off-Chain Data Integrity](https://term.greeks.live/definition/off-chain-data-integrity/) Ensuring data from outside the blockchain remains accurate and secure when being reported on-chain. ⎊ Definition ## [On-Chain Data Oracles](https://term.greeks.live/term/on-chain-data-oracles/) Meaning ⎊ On-chain data oracles serve as the essential, manipulation-resistant data transport layer for calculating collateralization and settling derivative contracts within decentralized finance protocols. ⎊ Definition ## [Real-Time Data Feeds](https://term.greeks.live/term/real-time-data-feeds/) Meaning ⎊ Real-time data feeds provide the essential inputs for options pricing models, translating market microstructure into actionable risk parameters to maintain systemic integrity. ⎊ Definition ## [Data Availability](https://term.greeks.live/definition/data-availability/) The assurance that all transaction data is published and accessible for verification by any user. ⎊ Definition ## [Data Fragmentation](https://term.greeks.live/term/data-fragmentation/) Meaning ⎊ Data fragmentation in crypto options markets hinders accurate pricing and risk management by dispersing liquidity and implied volatility data across disparate protocols and blockchains. ⎊ Definition ## [Data Feed Real-Time Data](https://term.greeks.live/term/data-feed-real-time-data/) Meaning ⎊ Real-time data feeds are the critical infrastructure for crypto options markets, providing the dynamic pricing and risk management inputs necessary for efficient settlement. ⎊ Definition ## [Margin Engine Fee Structures](https://term.greeks.live/term/margin-engine-fee-structures/) Meaning ⎊ Margin engine fee structures are the critical economic mechanisms in options protocols that price risk and incentivize solvency through automated liquidation and capital management. ⎊ Definition ## [Black-Scholes Circuit Mapping](https://term.greeks.live/term/black-scholes-circuit-mapping/) Meaning ⎊ BSCM is the framework for adapting the Black-Scholes model to DeFi by mapping continuous-time assumptions to discrete, on-chain risk and solvency parameters. ⎊ Definition ## [Data Feed Order Book Data](https://term.greeks.live/term/data-feed-order-book-data/) Meaning ⎊ The Decentralized Options Liquidity Depth Stream is the real-time, aggregated data structure detailing open options limit orders, essential for calculating risk and execution costs. ⎊ Definition --- ## 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The detailed view highlights the complex internal structure and data flow, suggesting advanced technology or a secure system interface." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/market-data-feeds/", "url": "https://term.greeks.live/definition/market-data-feeds/", "headline": "Market Data Feeds", "description": "Digital pipelines transmitting real-time price and volume data from exchanges to traders for analysis and execution. ⎊ Definition", "datePublished": "2025-12-14T10:54:35+00:00", "dateModified": "2026-03-18T06:18:20+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interconnected-data-streams-in-decentralized-finance-protocol-architecture-for-cross-chain-liquidity-provision.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows several parallel, smooth cylindrical structures, predominantly deep blue and white, intersected by dynamic, transparent green and solid blue rings that slide along a central rod. These elements are arranged in an intricate, flowing configuration against a dark background, suggesting a complex mechanical or data-flow system." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/off-chain-data-aggregation/", "url": "https://term.greeks.live/definition/off-chain-data-aggregation/", "headline": "Off-Chain Data Aggregation", "description": "Processing and combining external data before submitting it to the blockchain for on-chain use. ⎊ Definition", "datePublished": "2025-12-15T08:18:05+00:00", "dateModified": "2026-04-02T03:41:56+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interlocking-collateralization-rings-visualizing-decentralized-derivatives-mechanisms-and-cross-chain-swaps-interoperability.jpg", "width": 3850, "height": 2166, "caption": "A close-up view presents two interlocking abstract rings set against a dark background. The foreground ring features a faceted dark blue exterior with a light interior, while the background ring is light-colored with a vibrant teal green interior." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-providers/", "url": "https://term.greeks.live/term/data-providers/", "headline": "Data Providers", "description": "Meaning ⎊ Data providers for crypto options deliver essential implied volatility surfaces and risk metrics to protocols, bridging off-chain market reality with on-chain financial models. ⎊ Definition", "datePublished": "2025-12-15T08:23:22+00:00", "dateModified": "2026-01-04T14:19:43+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperable-layer-2-scalability-and-collateralized-debt-position-dynamics-in-decentralized-finance.jpg", "width": 3850, "height": 2166, "caption": "An abstract, flowing object composed of interlocking, layered components is depicted against a dark blue background. The core structure features a deep blue base and a light cream-colored external frame, with a bright blue element interwoven and a vibrant green section extending from the side." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/off-chain-data-computation/", "url": "https://term.greeks.live/term/off-chain-data-computation/", "headline": "Off-Chain Data Computation", "description": "Meaning ⎊ Off-chain data computation enables crypto options protocols to perform complex financial calculations efficiently and securely by decoupling intensive logic from the blockchain settlement layer. ⎊ Definition", "datePublished": "2025-12-15T08:28:33+00:00", "dateModified": "2025-12-15T08:28:33+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-liquidity-provision-and-cross-chain-interoperability-in-synthetic-derivatives-markets.jpg", "width": 3850, "height": 2166, "caption": "A close-up view depicts three intertwined, smooth cylindrical forms—one dark blue, one off-white, and one vibrant green—against a dark background. The green form creates a prominent loop that links the dark blue and off-white forms together, highlighting a central point of interconnection." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-proofs/", "url": "https://term.greeks.live/term/data-integrity-proofs/", "headline": "Data Integrity Proofs", "description": "Meaning ⎊ Data Integrity Proofs ensure the accuracy of off-chain data inputs, providing cryptographic certainty for decentralized options settlement and risk management. ⎊ Definition", "datePublished": "2025-12-15T08:29:37+00:00", "dateModified": "2025-12-15T08:29:37+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/advanced-multilayer-protocol-security-model-for-decentralized-asset-custody-and-private-key-access-validation.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution stylized rendering shows a complex, layered security mechanism featuring circular components in shades of blue and white. A prominent, glowing green keyhole with a black core is featured on the right side, suggesting an access point or validation interface." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-verification/", "url": "https://term.greeks.live/term/data-verification/", "headline": "Data Verification", "description": "Meaning ⎊ Data verification in crypto options ensures accurate pricing and settlement by securely bridging external market data, particularly volatility, with on-chain smart contract logic. ⎊ Definition", "datePublished": "2025-12-15T08:33:35+00:00", "dateModified": "2026-01-04T14:21:30+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-options-contract-framework-depicting-collateralized-debt-positions-and-market-volatility.jpg", "width": 3850, "height": 2166, "caption": "The image displays a 3D rendering of a modular, geometric object resembling a robotic or vehicle component. The object consists of two connected segments, one light beige and one dark blue, featuring open-cage designs and wheels on both ends." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/off-chain-data-integrity/", "url": "https://term.greeks.live/definition/off-chain-data-integrity/", "headline": "Off-Chain Data Integrity", "description": "Ensuring data from outside the blockchain remains accurate and secure when being reported on-chain. ⎊ Definition", "datePublished": "2025-12-15T08:42:36+00:00", "dateModified": "2026-04-12T04:35:18+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-options-protocol-collateralization-architecture-for-risk-adjusted-returns-and-liquidity-provision.jpg", "width": 3850, "height": 2166, "caption": "A 3D rendered image features a complex, stylized object composed of dark blue, off-white, light blue, and bright green components. The main structure is a dark blue hexagonal frame, which interlocks with a central off-white element and bright green modules on either side." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/on-chain-data-oracles/", "url": "https://term.greeks.live/term/on-chain-data-oracles/", "headline": "On-Chain Data Oracles", "description": "Meaning ⎊ On-chain data oracles serve as the essential, manipulation-resistant data transport layer for calculating collateralization and settling derivative contracts within decentralized finance protocols. ⎊ Definition", "datePublished": "2025-12-15T09:02:20+00:00", "dateModified": "2026-01-04T14:33:59+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/cross-chain-liquidity-provisioning-protocol-mechanism-visualization-integrating-smart-contracts-and-oracles.jpg", "width": 3850, "height": 2166, "caption": "A cutaway visualization shows the internal components of a high-tech mechanism. Two segments of a dark grey cylindrical structure reveal layered green, blue, and beige parts, with a central green component featuring a spiraling pattern and large teeth that interlock with the opposing segment." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-data-feeds/", "url": "https://term.greeks.live/term/real-time-data-feeds/", "headline": "Real-Time Data Feeds", "description": "Meaning ⎊ Real-time data feeds provide the essential inputs for options pricing models, translating market microstructure into actionable risk parameters to maintain systemic integrity. ⎊ Definition", "datePublished": "2025-12-15T09:19:07+00:00", "dateModified": "2025-12-15T09:19:07+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-architecture-visualizing-smart-contract-execution-and-high-frequency-data-streaming-for-options-derivatives.jpg", "width": 3850, "height": 2166, "caption": "A detailed, close-up shot captures a cylindrical object with a dark green surface adorned with glowing green lines resembling a circuit board. The end piece features rings in deep blue and teal colors, suggesting a high-tech connection point or data interface." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/data-availability/", "url": "https://term.greeks.live/definition/data-availability/", "headline": "Data Availability", "description": "The assurance that all transaction data is published and accessible for verification by any user. ⎊ Definition", "datePublished": "2025-12-15T09:22:11+00:00", "dateModified": "2026-05-24T19:21:42+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperable-multi-chain-layering-architecture-visualizing-scalability-and-high-frequency-cross-chain-data-throughput-channels.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a stylized, multi-layered structure with undulating, intertwined channels of dark blue, light blue, and beige colors, with a bright green rod protruding from a central housing. This abstract visualization represents the intricate multi-chain architecture necessary for advanced scaling solutions in decentralized finance." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-fragmentation/", "url": "https://term.greeks.live/term/data-fragmentation/", "headline": "Data Fragmentation", "description": "Meaning ⎊ Data fragmentation in crypto options markets hinders accurate pricing and risk management by dispersing liquidity and implied volatility data across disparate protocols and blockchains. ⎊ Definition", "datePublished": "2025-12-15T09:39:19+00:00", "dateModified": "2025-12-15T09:39:19+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-high-throughput-data-processing-for-multi-asset-collateralization-in-derivatives-platforms.jpg", "width": 3850, "height": 2166, "caption": "The image displays a detailed view of a thick, multi-stranded cable passing through a dark, high-tech looking spool or mechanism. A bright green ring illuminates the channel where the cable enters the device." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-feed-real-time-data/", "url": "https://term.greeks.live/term/data-feed-real-time-data/", "headline": "Data Feed Real-Time Data", "description": "Meaning ⎊ Real-time data feeds are the critical infrastructure for crypto options markets, providing the dynamic pricing and risk management inputs necessary for efficient settlement. ⎊ Definition", "datePublished": "2025-12-21T09:09:06+00:00", "dateModified": "2025-12-21T09:09:06+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-execution-module-trigger-for-options-market-data-feed-and-decentralized-protocol-verification.jpg", "width": 3850, "height": 2166, "caption": "The image displays a high-tech, futuristic object, rendered in deep blue and light beige tones against a dark background. A prominent bright green glowing triangle illuminates the front-facing section, suggesting activation or data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/margin-engine-fee-structures/", "url": "https://term.greeks.live/term/margin-engine-fee-structures/", "headline": "Margin Engine Fee Structures", "description": "Meaning ⎊ Margin engine fee structures are the critical economic mechanisms in options protocols that price risk and incentivize solvency through automated liquidation and capital management. ⎊ Definition", "datePublished": "2025-12-23T09:10:38+00:00", "dateModified": "2025-12-23T09:10:38+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-perpetual-futures-liquidity-pool-engine-simulating-options-greeks-volatility-and-risk-management.jpg", "width": 3850, "height": 2166, "caption": "A high-angle view of a futuristic mechanical component in shades of blue, white, and dark blue, featuring glowing green accents. The object has multiple cylindrical sections and a lens-like element at the front." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/black-scholes-circuit-mapping/", "url": "https://term.greeks.live/term/black-scholes-circuit-mapping/", "headline": "Black-Scholes Circuit Mapping", "description": "Meaning ⎊ BSCM is the framework for adapting the Black-Scholes model to DeFi by mapping continuous-time assumptions to discrete, on-chain risk and solvency parameters. ⎊ Definition", "datePublished": "2026-01-03T12:11:47+00:00", "dateModified": "2026-01-03T12:11:47+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/visualizing-algorithmic-liquidity-flow-stratification-within-decentralized-finance-derivatives-tranches.jpg", "width": 3850, "height": 2166, "caption": "The abstract image depicts layered undulating ribbons in shades of dark blue black cream and bright green. The forms create a sense of dynamic flow and depth." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-feed-order-book-data/", "url": "https://term.greeks.live/term/data-feed-order-book-data/", "headline": "Data Feed Order Book Data", "description": "Meaning ⎊ The Decentralized Options Liquidity Depth Stream is the real-time, aggregated data structure detailing open options limit orders, essential for calculating risk and execution costs. ⎊ Definition", "datePublished": "2026-01-05T12:08:42+00:00", "dateModified": "2026-01-05T12:08:52+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-oracle-data-flow-for-smart-contract-execution-and-financial-derivatives-protocol-linkage.jpg", "width": 3850, "height": 2166, "caption": "A high-tech rendering displays two large, symmetric components connected by a complex, twisted-strand pathway. The central focus highlights an automated linkage mechanism in a glowing teal color between the two components." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-protocol-architecture-visualizing-immutable-cross-chain-data-interoperability-and-smart-contract-triggers.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/mapping-data-structures/resource/1/