Penrose Panda - Puzzle Game

prusaprinters

<h3>Penrose Panda</h3><p>Made as part of a project, that used simple geometries and shapes as a way to make the STEM fields more approachable by incorporating creativity and self expression into the learning experience.</p><h5><strong>The Name of the game</strong></h5><p>Named after the discoverer of the P2 tiling, Roger Penrose, and an endangered bear species, the Panda. The reasoning behind the panda is, because I like alliteration, and couldn't think of any animal with a two-toned face, that also had a name starting with a “P”. So yeah, it's name is Penrose Panda.</p><h5>The parts of the game</h5><p><img class="image-style-align-left image_resized" style="width:19.01%;" src="https://media.printables.com/media/prints/246340/rich_content/fa146176-67ea-40e3-b9e9-a7e1291f870b/img_9331.png#%7B%22uuid%22%3A%227a86f428-bdbb-4eae-a273-726ee8526504%22%2C%22w%22%3A3024%2C%22h%22%3A3024%7D">Thanks to the brilliant P2 tiling, the game only requires 2 different shapes. With these two shapes a panda's head can be made. However, this type of connection is “illegal”, since for it to be able to tile the plane infinitely, similar edges have to neighbour each other. That does limit the creativity though. If these rules are ignored, further up the line there can be problems with the infinite tiling. But we don't have infinite space and time, so just be creative.</p><h5>The arrangements within rules</h5><p>There is seven possible ways to finish a corner with these tiles</p><figure class="table"><table><tbody><tr><td><figure class="image image_resized" style="width:18.78%;"><img src="https://media.printables.com/media/prints/246340/rich_content/b1c86e97-6598-4962-b67c-d64239524f1d/pp_csillag.png#%7B%22uuid%22%3A%22d1f16209-2b4a-4542-a913-c28efa997bda%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.89%;"><img src="https://media.printables.com/media/prints/246340/rich_content/be738e0e-7e46-4420-92e3-69163b8b0822/pp_kabat.png#%7B%22uuid%22%3A%22ed455346-883d-4bb2-9de4-ea25bbab70c7%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.9%;"><img src="https://media.printables.com/media/prints/246340/rich_content/17dbe276-8ce5-4693-a326-bbd477e1d67c/pp_kopeny.png#%7B%22uuid%22%3A%22eb049458-f391-4b8b-9c52-ef753e3d5c5f%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.99%;"><img src="https://media.printables.com/media/prints/246340/rich_content/4b9e0d73-0c51-4077-a21c-74c96323c20a/pp_macska.png#%7B%22uuid%22%3A%225940999f-1c16-4b25-94d8-9fc123cc0875%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.85%;"><img src="https://media.printables.com/media/prints/246340/rich_content/b4d9f32e-4cb6-446f-8aa0-8e54ff833f8b/pp_melleny.png#%7B%22uuid%22%3A%226422ec22-bbf3-48d1-9c44-465174fb7f48%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.69%;"><img src="https://media.printables.com/media/prints/246340/rich_content/f7733ca0-9389-466d-8134-c5092b9fc4c3/pp_nagypajzs.png#%7B%22uuid%22%3A%224f6ee79d-7ce2-4d51-9565-bfdcf074dce3%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td><td><figure class="image image_resized" style="width:18.82%;"><img src="https://media.printables.com/media/prints/246340/rich_content/47df2017-f95c-46a6-8860-7c70e29192ca/pp_tanyer.png#%7B%22uuid%22%3A%22d9ee6ce7-1300-4a74-a43d-5b164b1fba82%22%2C%22w%22%3A916%2C%22h%22%3A783%7D"></figure></td></tr><tr><td>“Flower”</td><td>“Hippo”</td><td>“Rabbit”</td><td>“Cat”</td><td>“Boar”</td><td>“Badger”</td><td>“Sun”</td></tr></tbody></table></figure><p>These names are <strong>not</strong> official, it is like a Rorshach test, I see those things in these shapes.</p><h5>The printing of the game</h5><p>If you have, by some miracle, infinite amount of resources, <img class="image-style-align-right image_resized" style="width:37.76%;" src="https://media.printables.com/media/prints/246340/rich_content/163bfc38-97fb-4f03-8927-df476f7d40ae/img_9329.png#%7B%22uuid%22%3A%222067da73-b39e-4497-8450-f63a248ff55f%22%2C%22w%22%3A3024%2C%22h%22%3A3024%7D">you have to watch out for the golden ratio (<img class="image_resized" style="width:1.52ex;" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" alt="\varphi ">=1.618033…). This is the ratio between the amount of “Foreheads” and “Chins”. This is still true for mere mortals, the only difference is, that the amount of tiles are way lower. Based on trial and error, for me 15 “Chins” and 25 “Foreheads” gave a great result (1.6 is really close to <img class="image_resized" style="width:1.52ex;" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" alt="\varphi ">). With the 40 tiles a really nice closed shape can be created.</p><p>As for the settings, the tiles don't need supports and multiple can be printed at once. Watch out for the horizontal scaling, if the angles change, the tiles will not connect correctly, but the vertical height can be anything within reason. <i>(If the tiles are laying flat on their back, with the smaller shapes on top.)&nbsp;</i></p><h5><strong>Thank you!</strong></h5><p>Any feedback is appreciated, and I do hope you enjoy playing it as much as I do. Have fun!</p><p>And if any issues arise, I'm more than happy to help.</p>