The amount of information collected about the Earth has become extremely large. With this information comes the demand for integration, processing, visualization and distribution of this data so that it can be leveraged to solve real-world problems. To address this issue, a carefully designed information structure is needed that stores all of the information about the Earth in a convenient format such that it can be easily used to solve a wide variety of problems. The idea which we explore is to create a Discrete Global Grid System (DGGS) using a Disdyakis Triacontahedron (DT) as the initial polyhedron. We have adapted a simple, closed-form, equal-area projection to reduce distortion and speed up queries. We have derived an efficient, closed-form inverse for this projection that can be used in important DGGS queries. The resulting construction is indexed using an atlas of connectivity maps. Using some simple modular arithmetic, we can then address point to cell, neighbourhood and hierarchical queries on the grid, allowing for these queries to be performed in constant time. We have evaluated the angular distortion created by our DGGS by comparing it to a traditional icosahedron DGGS using a similar projection. We demonstrate that our grid reduces angular distortion while allowing for real-time rendering of data across the globe.

中文翻译：

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Disdyakis Triacontahedron DGGS

收集到的有关地球的信息量已经非常庞大。有了这些信息，就需要对这些数据进行集成，处理，可视化和分发，以便可以利用它来解决实际问题。为了解决此问题，需要精心设计的信息结构，以方便的格式存储有关地球的所有信息，以便可以轻松地使用它来解决各种问题。我们探索的想法是使用Disdyakis Triacontahedron（DT）作为初始多面体来创建离散全球网格系统（DGGS）。我们调整了一个简单的，封闭形式的等面积投影，以减少失真并加快查询速度。我们已经为此投影导出了一个有效的，闭式逆，可以在重要的DGGS查询中使用。使用连接图集索引生成的构造。然后，使用一些简单的模块化算法，我们可以在网格上解决点对单元，邻域和层次结构查询的问题，从而允许这些查询在恒定时间内执行。通过使用类似的投影将其与传统的二十面体DGGS进行比较，我们评估了DGGS产生的角度畸变。我们证明了我们的网格减少了角度失真，同时允许在全球范围内实时渲染数据。通过使用类似的投影将其与传统的二十面体DGGS进行比较，我们评估了DGGS产生的角度畸变。我们证明了我们的网格减少了角度失真，同时允许在全球范围内实时渲染数据。通过使用类似的投影将其与传统的二十面体DGGS进行比较，我们评估了DGGS产生的角度畸变。我们证明了我们的网格减少了角度失真，同时允许在全球范围内实时渲染数据。