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From Kepler's book \"_Mysterium Cosmographicum_\", 1596. Kepler thought that the planets orbited the Earth, each within an orbit set on a regular polyhedron. He was mightily wrong, but his design is iconic and inspiring.  \n  \nAll regular polyhedra are represented, in this order from the inside out: octahedron, icosahedron, dodecahedron, tetrahedron, cube. I also included the text from the page of Kepler's book, \"Tabvla III Orbivm Planetarvm\" and \"Johannes Kepler\" on the opposite side of the base.  \n  \nTry coloring it! The material is porous and you can submerge it into tea, wine, etc to give it color.  \n  \nNotes on Kepler's work and this planetary model:  \n  \n_In the XVI century, the German astronomer Johannes Kepler (1571-1630) tried to find a relation among the five regular platonic solids and the six planets known in his time: Mercury, Venus, Earth, Mars, Jupiter and Saturn. Kepler thought the two numbers were connected: the reason there were only six planets was because there were only five regular solids.  \n  \nIn 1596, in his work Mysterium Cosmographicum, Kepler established a model of the solar system where the five platonic solids were inserted one inside another, separated by a series of inscribed spheres. He realized that the ratios among the planets orbits' radii could match the ratios among the spheres' radii. His model, however, was not supported by the experimental data from the astronomers Tycho Brahe (Danish, 1546-1601) and Nicolau Copernicus (Polish, 1473-1543). Indeed, his model was entirely disapproved by posterior discoveries of the planets Uranus and Neptune: there are no additional platonic solids that determine their distances to the Sun. However, from his research, new solids were discovered (that, nowadays, are named after him), the perception that the orbits of the planets are not circles but ellipses, and the three laws of the planetary motion._\n\n","imageAlt":"Kepler s Platonic Solids Model of the Solar System","url":"https://www.cgtrader.com/3d-print-models/science/astronomy-physics/kepler-s-platonic-solids-model-of-the-solar-system-66941","isCLDApplicable":false,"isSaleOffApplicable":true,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/mrbEzTbfczHhoN7yNRkT2SQN/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/kepler-s-platonic-solids-model-of-the-solar-system-66941-3d-model-obj.jpg","gridUrl":"https://media.cgtrader.com/variants/mrbEzTbfczHhoN7yNRkT2SQN/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/kepler-s-platonic-solids-model-of-the-solar-system-66941-3d-model-obj.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/science/astronomy-physics/kepler-s-platonic-solids-model-of-the-solar-system-66941","isCgtVerified":true,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":12,"name":".obj","is_native":false},{"id":51,"name":".stl","is_native":false}],"categorySlug":"science","subcategorySlug":"astronomy-physics","categoryTitle":"Science","subcategoryTitle":"Astronomy \u0026 Physics","schemaImageUrl":"https://img-new.cgtrader.com/items/66941/b980f3401f/kepler-s-platonic-solids-model-of-the-solar-system-66941-3d-model-b980f3401f.webp","saleOffDiscount":50,"eligibleForSubscription":false,"subscriptionSubscribed":false,"subscriptionPotential":false}},{"id":"937656","type":"listingItem","attributes":{"id":937656,"title":"055 Dodecahedron 20 cm dE-2mm","price":10.99,"description":"054 Dodecahedron 20 cm dE-2mm","imageAlt":"055 Dodecahedron 20 cm 3D printable model","url":"https://www.cgtrader.com/3d-print-models/science/math/054-dodecahedron-20-cm-de-2mm","isCLDApplicable":false,"isSaleOffApplicable":false,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/T8pCyGQ5ECS6fPTCfHn75QVp/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/055-dodecahedron-20-cm-de-2mm-3d-model-obj-stl-wrl-wrz.jpg","gridUrl":"https://media.cgtrader.com/variants/T8pCyGQ5ECS6fPTCfHn75QVp/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/055-dodecahedron-20-cm-de-2mm-3d-model-obj-stl-wrl-wrz.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/science/math/054-dodecahedron-20-cm-de-2mm","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":12,"name":".obj","is_native":false},{"id":51,"name":".stl","is_native":false}],"categorySlug":"science","subcategorySlug":"math","categoryTitle":"Science","subcategoryTitle":"Math","schemaImageUrl":"https://img-new.cgtrader.com/items/937656/acd9227781/055-dodecahedron-20-cm-de-2mm-3d-model-acd9227781.webp","saleOffDiscount":0,"eligibleForSubscription":false,"subscriptionSubscribed":false,"subscriptionPotential":false}},{"id":"258898","type":"listingItem","attributes":{"id":258898,"title":"Cubic Gyroid Sculpture","price":10.0,"description":"**Now including Blender 2.83 scene file with Eevee render settings and materials!**\n\n- Solid, manifold topology in compliance with 3d Printing rules and standards.\n- **Blender 2.83** scene ready to render with **Eevee** materials and settings.\n- Low poly base objects in Blender scene file with subdivision surface modifier.\n- **STL** file included for 3d printing (SLS printing recommended)\n- FBX and OBJ formats included\n\n**Dimensions:**\n\n**X**  = 42.7 mm\n\n**Y** = 42.4 mm\n\n**Z** = 36.3 mm\n\nEvolved from a cuboctahedron Archimedean solid, this cubic gyroid abstract showcases some lovely symmetry and curvature.  The .blend file contains the lowpoly base mesh used to construct this shape for 3d printing!  Perfect for editing or use in motion graphics animation.  This object makes a wonderful desktop showpiece, and perfect addition to any 3d printed mathematical art collection.\n\n","imageAlt":"3D print model Cubic Gyroid Sculpture","url":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/cubic-gyroid-sculpture","isCLDApplicable":false,"isSaleOffApplicable":true,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/WiZPwxdtMHo1wYmTt8ta3h9C/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/cubic_gyroid_preview01.jpg","gridUrl":"https://media.cgtrader.com/variants/WiZPwxdtMHo1wYmTt8ta3h9C/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/cubic_gyroid_preview01.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/cubic-gyroid-sculpture","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":21,"name":".blend","is_native":true},{"id":51,"name":".stl","is_native":false},{"id":5,"name":".fbx","is_native":false},{"id":12,"name":".obj","is_native":false}],"categorySlug":"art","subcategorySlug":"mathematical-art","categoryTitle":"Art \u0026 Design","subcategoryTitle":"Mathematical art","schemaImageUrl":"https://img-new.cgtrader.com/items/258898/2e86ba9398/cubic-gyroid-sculpture-3d-model-2e86ba9398.webp","saleOffDiscount":0,"eligibleForSubscription":false,"subscriptionSubscribed":true,"subscriptionPotential":false}},{"id":"2884341","type":"listingItem","attributes":{"id":2884341,"title":"Turners Cube","price":10.0,"description":"Geometric Sculpture of a Turners Cube for 3D printing. The object is a separate element to the plynth, and can be easily rotated around, or removed from the plynth. \n\nAvailable as .OBJ .FBX .MAX file formats\n\nApproximately 16cm cubed at current scale.\n\nThe mesh is quite high detail 1 million polygons each object.\n\nThese are some of my early 3D models designed for print. If anyone would like to offer feedback, especially photos of your print results. It would be greatly appeciated, to help improve future models. And if you need extra information about the model, please ask.","imageAlt":"3D printable model Turners Cube","url":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/turners-cube-9f283d9f-94c6-4f99-8d25-06b915a5a795","isCLDApplicable":false,"isSaleOffApplicable":false,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/cD5w6vSZEAv1S5JrZdYyVjus/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/TurnersEcho0020.jpg","gridUrl":"https://media.cgtrader.com/variants/cD5w6vSZEAv1S5JrZdYyVjus/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/TurnersEcho0020.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/turners-cube-9f283d9f-94c6-4f99-8d25-06b915a5a795","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":17,"name":".max","is_native":true},{"id":5,"name":".fbx","is_native":false},{"id":12,"name":".obj","is_native":false}],"categorySlug":"art","subcategorySlug":"mathematical-art","categoryTitle":"Art \u0026 Design","subcategoryTitle":"Mathematical art","schemaImageUrl":"https://img-new.cgtrader.com/items/2884341/9b6a08eeec/turners-cube-3d-model-9b6a08eeec.webp","saleOffDiscount":0,"eligibleForSubscription":false,"subscriptionSubscribed":false,"subscriptionPotential":false}},{"id":"2882184","type":"listingItem","attributes":{"id":2882184,"title":"Dodecho metal cube","price":10.0,"description":"Geometric Sculpture of 5 dodecahedrons inside each other, similar to a Turners cube. 3D print model.\nThe object is a separate element to the plynth, and can be easily rotated around, or removed from the plynth.\nAvailable as .OBJ .FBX .MAX file formats\n\nApproximately 16cm cubed at current scale.\n\nThe mesh is quite high detail 1 million polygons each object.\n\nThese are some of my early 3D models designed for print. If anyone would like to offer feedback, especially photos of your print results. It would be greatly appeciated, to help improve future models. And if you need extra information about the model, please ask.","imageAlt":"Dodecho metal cube 3D print model","url":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/dodecho","isCLDApplicable":false,"isSaleOffApplicable":false,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/on8JbtBZcy257pjw1FPvYmGf/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/Dodeca_Echo_0060.jpg","gridUrl":"https://media.cgtrader.com/variants/on8JbtBZcy257pjw1FPvYmGf/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/Dodeca_Echo_0060.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/art/mathematical-art/dodecho","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":17,"name":".max","is_native":true},{"id":5,"name":".fbx","is_native":false},{"id":12,"name":".obj","is_native":false}],"categorySlug":"art","subcategorySlug":"mathematical-art","categoryTitle":"Art \u0026 Design","subcategoryTitle":"Mathematical art","schemaImageUrl":"https://img-new.cgtrader.com/items/2882184/11cf2b1441/dodecho-metal-cube-3d-model-11cf2b1441.webp","saleOffDiscount":0,"eligibleForSubscription":false,"subscriptionSubscribed":false,"subscriptionPotential":false}},{"id":"4508264","type":"listingItem","attributes":{"id":4508264,"title":"113 Cube Platonic Solid Planter Pot  V8  Aoi ","price":3.0,"description":"113. Cube Platonic Solid Planter Pot - V8 - Aoi \n\nIntroducing the revolutionary 3D Printed Vase and Plant Container, a testament to the harmonious fusion of artistic design and advanced technology. This innovative product empowers individuals to create exquisite and personalized vessels for their beloved plants, bringing a touch of nature's beauty into any space.\n\nCrafted with meticulous attention to detail, the 3D Printed Vase and Plant Container combines the elegance of traditional pottery with the limitless possibilities of 3D printing. Each design is carefully curated to enhance the natural allure of plants, providing a seamless and aesthetically pleasing home for greenery of all kinds.\n\nWith the power of 3D printing at your fingertips, the creative possibilities are boundless. Embrace your inner designer and customize your own unique vase or plant container, tailored to your personal style and preferences. Whether you prefer sleek and modern lines, intricate patterns, or organic shapes inspired by nature, this product allows you to unleash your imagination and bring your vision to life.\n\nDesigned with functionality in mind, the 3D Printed Vase and Plant Container offers a variety of features to ensure the optimal environment for your plants to thrive. From built-in drainage systems to provide proper water flow, to adjustable inserts for different pot sizes, this product seamlessly blends form and function, elevating your gardening experience to new heights.\n\nThe versatility of 3D printing extends beyond aesthetics and functionality. Embracing sustainable practices, this product encourages the use of eco-friendly materials, such as biodegradable or recycled filaments, reducing environmental impact while fostering a connection with nature. The 3D printing process itself minimizes waste, as designs can be precisely printed to the desired dimensions, ensuring an efficient use of materials.\n\nCreating your own 3D Printed Vase and Plant Container is a straightforward and rewarding experience. Simply download the digital design file, compatible with a range of popular 3D printers, and let your creativity soar. Whether you're a seasoned 3D printing enthusiast or a curious beginner, the intuitive user interface and comprehensive instructions ensure a seamless printing journey.\n\nOnce your masterpiece is printed, it's time to embrace the joy of gardening. Place your favorite plant within the lovingly crafted vessel, and witness how the 3D Printed Vase and Plant Container seamlessly integrates into any space, be it your living room, office, or garden.\n\nJoin the revolution of personalized and sustainable design with the 3D Printed Vase and Plant Container. Embrace the beauty of nature, express your creativity, and make a positive impact on the environment—all in one exquisite product. Elevate your gardening experience and surround yourself with captivating greenery in a vessel that truly reflects your unique style.","imageAlt":"113 Cube Platonic Solid Planter Pot 3D printable model 1","url":"https://www.cgtrader.com/3d-print-models/tools-organizers/boxes/113-cube-platonic-solid-planter-pot-v8-aoi","isCLDApplicable":false,"isSaleOffApplicable":true,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/s8rmrnFYbCDiBfb4wbfTisWJ/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/113.%20Cube%20-%20V8%20-%20Aoi.jpg","gridUrl":"https://media.cgtrader.com/variants/s8rmrnFYbCDiBfb4wbfTisWJ/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/113.%20Cube%20-%20V8%20-%20Aoi.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/tools-organizers/boxes/113-cube-platonic-solid-planter-pot-v8-aoi","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":51,"name":".stl","is_native":false},{"id":72,"name":".stp","is_native":false}],"categorySlug":"tools-organizers","subcategorySlug":"boxes","categoryTitle":"Tools \u0026 Organizers","subcategoryTitle":"Boxes","schemaImageUrl":"https://img-new.cgtrader.com/items/4508264/e11f50e5ae/113-cube-platonic-solid-planter-pot-v8-aoi-3d-model-e11f50e5ae.webp","saleOffDiscount":50,"eligibleForSubscription":true,"subscriptionSubscribed":false,"subscriptionPotential":true}},{"id":"829778","type":"listingItem","attributes":{"id":829778,"title":"012 Mathart - Platonic Solids - Dodecahedron 03 - 10 cm ","price":10.99,"description":"\u003cp\u003e012 Mathart - Platonic Solids - Dodecahedron 03 - 10 cm \nA Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size) regular (all angles equal and all sides equal) polygonal faces with the same number of faces meeting at each vertex. Five solids meet those criteria: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron. \nA dodecahedron is a polyhedron with 12 faces, 20 vertices, 30 edges.\u003c/p\u003e","imageAlt":"012 Mathart - Platonic Solids - 3D printable model 4","url":"https://www.cgtrader.com/3d-print-models/science/math/012-mathart-platonic-solids-dodecahedron-03-10-cm","isCLDApplicable":false,"isSaleOffApplicable":false,"gaAttributes":{},"primaryImage":{"gridFallbackUrl":"https://media.cgtrader.com/variants/1R7xpwem3nkevNvwBtJP8fXj/a26e47dab5f2d22c43d6c5ce4b4b46ecc30c70918878397cba1a10c1e35d7bfc/012-mathart-platonic-solids-dodecahedron-03-10-cm-3d-model-obj-stl-wrl-wrz.jpg","gridUrl":"https://media.cgtrader.com/variants/1R7xpwem3nkevNvwBtJP8fXj/78add9c2f02fbd73a43ffb3970be38683c5f15eff6ca849dc78c644f4ff9ce1b/012-mathart-platonic-solids-dodecahedron-03-10-cm-3d-model-obj-stl-wrl-wrz.webp","isAdultContent":false},"modelInfo":{"modelUrl":"https://www.cgtrader.com/3d-print-models/science/math/012-mathart-platonic-solids-dodecahedron-03-10-cm","isCgtVerified":false,"types":{"printReady":true,"animated":false,"pbr":false,"rigged":false,"lowPoly":false}},"metaverseFormatsList":[{"id":51,"name":".stl","is_native":false},{"id":null,"name":null,"is_native":false},{"id":12,"name":".obj","is_native":false}],"categorySlug":"science","subcategorySlug":"math","categoryTitle":"Science","subcategoryTitle":"Math","schemaImageUrl":"https://img-new.cgtrader.com/items/829778/f8f7740424/012-mathart-platonic-solids-dodecahedron-03-10-cm-3d-model-f8f7740424.webp","saleOffDiscount":0,"eligibleForSubscription":false,"subscriptionSubscribed":false,"subscriptionPotential":false}},{"id":"893444","type":"listingItem","attributes":{"id":893444,"title":"Metatron Cube Pendants","price":10.0,"description":"The Metatron's Cube is a 2D geometric pattern created from 13 equal circles.  Two layers of 6 circles in a hexagon pattern radiating from the central circle. Metatron's Cube shares similarities with the Flower of Life and is a sacred geometric figure with symbolic meaning.\n\nThis design is sized as a pendant to be worn around the neck. Any chain or necklace should fit through one of the 6 outer circles which will allow the pendant to sit in the correct position.\n\nSize of the pendant is approximately 50mm in diameter, about 2 inches. File includes 6x different models. Happy to scale the product as required. 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Whether you prefer sleek and modern lines, intricate patterns, or organic shapes inspired by nature, this product allows you to unleash your imagination and bring your vision to life.\n\nDesigned with functionality in mind, the 3D Printed Vase and Plant Container offers a variety of features to ensure the optimal environment for your plants to thrive. From built-in drainage systems to provide proper water flow, to adjustable inserts for different pot sizes, this product seamlessly blends form and function, elevating your gardening experience to new heights.\n\nThe versatility of 3D printing extends beyond aesthetics and functionality. Embracing sustainable practices, this product encourages the use of eco-friendly materials, such as biodegradable or recycled filaments, reducing environmental impact while fostering a connection with nature. The 3D printing process itself minimizes waste, as designs can be precisely printed to the desired dimensions, ensuring an efficient use of materials.\n\nCreating your own 3D Printed Vase and Plant Container is a straightforward and rewarding experience. Simply download the digital design file, compatible with a range of popular 3D printers, and let your creativity soar. Whether you're a seasoned 3D printing enthusiast or a curious beginner, the intuitive user interface and comprehensive instructions ensure a seamless printing journey.\n\nOnce your masterpiece is printed, it's time to embrace the joy of gardening. Place your favorite plant within the lovingly crafted vessel, and witness how the 3D Printed Vase and Plant Container seamlessly integrates into any space, be it your living room, office, or garden.\n\nJoin the revolution of personalized and sustainable design with the 3D Printed Vase and Plant Container. 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It's Solidworks model was exported in other CAD formats. This 3D model can used in producing on CNC machines and for 3D printing. 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The Great Dodecahedron consists of 12 convex pentagrammic vertex figures.  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