Teaching erosion and landscape evolution with an Augmented Reality Sandbox
Authors: Cortés Jordi , Garcia-Castellanos Daniel , Valverde Angel , Karmakar Samadrita 
Published: March 2020

&lt;p&gt;Augmented-reality sandboxes are increasingly used for outreach purposes in many fields. Here we show the benefits of modifying a standard AR sandbox to significantly improve its teaching capability in Earth Science.&lt;/p&gt;&lt;p&gt;First prototypes of AR sandboxes date back to at least (Microsoft Fest conference in Prague), consisting of a Kinect card scanning the surface of the sand and producing a digital elevation model (DEM) of it in real time. This DEM is used to compute the flow of virtual water on the surface and produce an image combining the DEM and the water, which are projected back on the surface through a standard image projector, also in real time. In this way, water appears to flow on top of the actual sand topography, responding to any manipulation of the surface within a time lag shorter than 1s. The idea was popularized thanks to the open-source ARSandbox distribution published by Reed &amp; Kreylos (2014).&amp;#160;&lt;/p&gt;&lt;p&gt;&lt;img 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&quot; alt=&quot;&quot;&gt;&lt;/p&gt;&lt;p&gt;In our portable sARndbox device, we have modified the original GLSL (OpenGL Scripting Language) SARndbox code with the purpose of teaching experimentally how erosion and geodynamics interact during the development of Earth's topography and relief. Our version of the &lt;em&gt;Fragment Shader&lt;/em&gt; file allows to visualize the areas of enhanced erosion and sedimentation driven by high and low water energy, respectively, to better communicate its role in shaping landscape. This is done by colour-shading water as a function of water flow energy, which is approximated as proportional to water depth and velocity at each location. The modified scripts and other info is available on GitHub (https://github.com/danigeos/sARndbox).&amp;#160;&lt;/p&gt;&lt;p&gt;The setting has proved useful in conveying basic principles of landscape evolution to students ranging from primary school to master level. We used this in combination with 3D prints of real tectonic plates and concept explanations, in sessions lasting typically between 30 and 60 minutes.&lt;/p&gt;&lt;p&gt;&amp;#160;&lt;/p&gt;