{"product_id":"low-poly-spheres-deltoidal-icositetrahedron","title":"Low Poly Spheres: Deltoidal Icositetrahedron","description":"\u003cp\u003e\u003ci\u003e\u003cstrong\u003eLow Poly Spheres: Low-poly, high-fun!\u003c\/strong\u003e\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ca target=\"_blank\" href=\"https:\/\/www.printables.com\/@AdamL\/collections\/888804\" rel=\"nofollow noopener\"\u003eLow Poly Spheres\u003c\/a\u003e is a series 3D printable models of polyhedra that look like low-poly spheres. You may remember from math class that polyhedra are solid 3D shapes with flat polygonal faces, straight edges, and sharp corners or vertices. Low Poly Spheres are fun to make and display. You can print them in different colors and sizes, and use them as decorations, toys, or educational tools. Low Poly Spheres are a fun way to enjoy 3D printing and mathematics. They are simple, yet beautiful and fascinating. \u003c\/p\u003e\u003cboostme\u003e\u003cboosttitle\u003eBoost Me\u003c\/boosttitle\u003e\u003cboostcontent\u003eBoosts are nice if you like my efforts.\u003c\/boostcontent\u003e\u003c\/boostme\u003e\u003cp\u003e\u003cstrong\u003eFun Facts About the Deltoidal Icositetrahedron\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eIntricate Geometry : \u003c\/strong\u003eThe Deltoidal Icositetrahedron has 24 faces, 48 edges, and 26 vertices. Each face is a congruent kite-shaped quadrilateral (also known as a deltoid), giving it a distinctive appearance.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDual Polyhedron Relationship: \u003c\/strong\u003eIt is one of the 13 Catalan solids, which are the duals of the 13 Archimedean solids. It is the dual of the rhombicuboctahedron. In dual polyhedra, the vertices of one correspond to the faces of the other, showcasing a deep geometric connection.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eOctahedral Symmetry:  \u003c\/strong\u003eThe polyhedron possesses\u003cstrong\u003e octahedral symmetry\u003c\/strong\u003e (symmetry group Oh), meaning it is symmetrical about the axes of an octahedron. This high degree of symmetry makes it aesthetically pleasing from all angles.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eUniform Face Transitivity: \u003c\/strong\u003e\u003cul\u003e\n\u003cli\u003eIdentical Faces: All faces are congruent kites, identical in shape and size.\u003c\/li\u003e\n\u003cli\u003eFace-Transitive: Any face can be mapped onto another through symmetry operations, highlighting its uniform geometric structure.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eEdge Varieties: \u003c\/strong\u003eThe Deltoidal Icositetrahedron has two types of edges:\u003cul\u003e\n\u003cli\u003e24 shorter edges where two shorter sides of kites meet.\u003c\/li\u003e\n\u003cli\u003e24 longer edges where two longer sides of kites meet.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eVertex Configurations: \u003c\/strong\u003eThere are three types of vertices:\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003e8 vertices\u003c\/strong\u003e where \u003cstrong\u003ethree edges meet\u003c\/strong\u003e (two short and one long edge), corresponding to the vertices of a cube.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003e12 vertices\u003c\/strong\u003e where \u003cstrong\u003efour edges meet\u003c\/strong\u003e (two short and two long edges), located along the edges of the cube and octahedron.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003e6 vertices\u003c\/strong\u003e where \u003cstrong\u003eeight edges meet\u003c\/strong\u003e (all long edges), corresponding to the centers of the faces of an octahedron.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eDesign by Adam L on MakerWorld (license: BY).\u003c\/p\u003e","brand":"Mymadmanlab","offers":[{"title":"Default Title","offer_id":67435653300528,"sku":null,"price":6.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0987\/0809\/5280\/files\/0_d161302e-3485-4b9d-bac5-69787fd92464.png?v=1785729975","url":"https:\/\/mymadmanlab.com\/products\/low-poly-spheres-deltoidal-icositetrahedron","provider":"Mymadmanlab.com","version":"1.0","type":"link"}