Paper models of polyhedra platonic solids archimedean solids keplerpoinsot polyhedra other uniform polyhedra compounds dodecahedron cube and tetrahedron. These are the only threedimensional shapes that are perfectly symmetrical in every direction, with every internal angle and side length the same. For example, a cube is a platonic solid because all six of its faces are congruent squares. Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. Pdfs of each shape to print and create polyhedrons. Workshop participants will have the opportunity to make pullup platonic. This geometry worksheet may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.
Heres a downloadable template for the platonic solids so you can construct your own set. How to make the platonic solids out of playing cards. There are 11 different nets for a cube regular hexahedron. A polyhedron is a threedimensional convex figure with flat faces and straight edges. I recommend making the cube for ease of use and coolness factor. For each solid we have two printable nets with and without tabs. The first one is the tetrahedron representing the element of fire. There are five of these, and they are characterized by the fact that each face is a regular polygon, that is, a straightsided figure with equal sides and equal angles. Hexahedron cube a hexahedron is a polyhedron with six faces. The interaction of the five elements is well described by the five regular polyhedra known as the platonic solids. All platonic solids and archimedean solids in color 19 models.
A polygon is convex if the line connecting any two vertices remains inside or on the boundary of the polygon. In threedimensional space, a platonic solid is a regular, convex polyhedron. A pullup patterned net for the icosahedron on a similarly patterned p6mm base card 112. A platonic solid is a polyhedron all of whose faces are congruent regular convex polygons, and where the same number. Nets templates and pictures of the paper dodecahedron.
In the model below, the anticlockwise arrangement of regular polygons at every corner is sho. Solids, nets, and cross sections polyhedra in this section, we will examine various threedimensional figures, known as solids. In three dimensions the analog of the regular polygon is the regular polyhedron. The five platonic solids a regular polygonis a plane. Have students research the platonic solids or archimedean solids and draw their nets. The socalled platonic solids are regular polyhedra. I have always found that when getting pupils to draw 2d views of 3d shapes, having the 3d shapes for them to hold and manipulate in their hands provides important support for many learners. Platonic solids, archimedean solids, symmetrytype graphs 1. Pullup patterned nets for a the tetrahedron, b the cube, c the octahedron, d the dodecahedron and e the icosahedron 1. If the faces are equal regular polygons, then the polyhedron is also called regular. These nets of 3d shapes are for the 5 platonic solids, as illustrated below. The third one is the hexahedron or cube, representing earth.
Thanks for downloading these excellent 3d shape nets from great maths teaching ideas. The cube is the most famous one, of course, although he likes to be called hexahedron among friends. Teaching 3d shape topics lends itself to kinaesthetic teaching styles. Geometry worksheet nets of the platonic solids math drills. A polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex. Platonic solids a brief introduction a polygon is a twodimensional shape bounded by straight line segments. 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. Platonic solids there are five special polyhedra which are known as the platonic solids. Each solid is made from a circle, with the shape the solid is based on drawn inside of the circle. Polyhedra are beautiful 3d geometrical figures that have fascinated philosophers, mathematicians and artists for millennia. App, students create a net for each of the 5 platonic solids and print out the nets and use these 2d print out to build 3d platonic solids activity seven part three students use the knowledge you have gained in parts and two apply that knowledge to create an multimedia or oral presentation materials needed.
This construction technique reinforces the concepts of platonic solids as the student assembles each solid. Do the platonic solids hold the key to the universe. The fourth one is the icosahedron representing water. Illustration of paper model template of the five platonic solids, to make a threedimensional handicraft work out of the nets isolated vector illustration on white. Welcome to the nets of the platonic solids math worksheet from the geometry worksheets page at math. Platonic solids, their planar graphs, and their nets 3 figure 6. There are 5 platonic solids regular convex polyhedra. Draw a regular right hexagonal pyramid and then draw its net. The solids also make nifty boxes, fun decorations and unique calendarsspecial patterns included. Nets for making 3d solids a net is a two dimensional plan or shape that can be folded to make a three dimensional solid.
Its permitted to make copies for noncommercial purposes only email. Illuminations has a page that lets you explore nets pdfybt kerfityrj of pdfwriter driver download platonic solids. English language learners ell have each student bring an empty cereal or other type of box to cut into a net. Website has free printable nets of polyhedra which is available in pdf. For example, the neolithic people of scotland were able to create small stone balls representing the convex polyhedra. There are five such solids tetrahedron, cube, octahedron, dodecahedron and icosahedron. However, in the pages below, just one net has been provided for the cube, square pyramid, rectangular prism, triangular prism, triangular. Symmetrytype graphs of platonic and archimedean solids. There are 5 platonic graphs, and all of them are regular, polyhedral and therefore by necessity also 3vertexconnected, vertextransitive, edgetransitive and planar graphs, and also hamiltonian graphs. Finally, there is a document listing the details of plastic models of the platonic solids that can be purchased to provide another opportunity for participants to build the shapes as part of the exhibit. Pictures of platonic solids paper models of polyhedra. The five platonic solids platonic solid, geometric. Its permitted to make prints of the nets for noncommercial purposes only. On this site are a few hundred paper models available for free.
By simply repeating the corner pattern, a polyhedron may be constructed without the need for a plan or net. A planar graph is one that can be drawn on a plane in such a way that there are no edge crossings, i. You can help them to organize their findings in a chart like this. We will also discuss the nite groups of symmetries on a line, in a plane, and in three dimensional space. Also known as the five regular polyhedra, they consist of the tetrahedron or pyramid, cube, octahedron, dodecahedron, and icosahedron. However, in the pages below, just one net has been provided for the cube. Geometry nets of solids diagrams, examples, solutions. Although each one was probably known prior to 500 bc, they are collectively named after the ancient greek philosopher plato 428348 bc who mentions them in his dialogue timaeus, written circa 360 bc. A polygon is said to be regular if the edges are of equal length and meet at equal angles. Nets of solids cubes, cuboids, rectangular solids, prisms, cylinders, spheres, cones, pyramids, net of solids, what is meant by the net of a solid, net of cylinder, examples, activities and demonstrations, how to use nets to find surface area and volumes, interactive animations for nets of solids, examples with step by step solutions. According to plato, each solid corresponds to a specific element. For some solids, such as the cube, there are many different nets. Then, fold along the dashed lines and tape to create your own regular tetrahedron.
The platonic solids are the five regular convex polyhedra. This site offers pdf files for easy cut and does any body remember the love dodecahedron from college. Polyhedron, tetrahedron, cube, octahedron, dodecahedron, icosahedron. The nets required to build your own set of the platonic solids using scissors and glue are also included as word and pdf documents. Click on the 3d shape you want to make and follow the instructions for printing. It is composed of six square faces that meet each other at right angles and has eight vertices and 12 edges. Information on the five platonic solids and teaching ideas for the new syllabus. In the mathematical field of graph theory, a platonic graph is a graph that has one of the platonic solids as its skeleton. Furthermore, we show how the platonic solids can be used to visualize symmetries in r3. Platonic solid, any of the five geometric solids whose faces are all identical, regular polygons meeting at the same threedimensional angles. The arrangement of regular polygons at each corner of a platonic or archimedean polyhedron is identical. Malati staff involved in developing these materials. Its a truncated icosahedron, and you can see how to make one of those in my other post.
Platonic solids part 2 once students have created their platonic solids from the nets in part i, ask them to list the faces, vertices, and edges of each of their solids. The dodecahedron is one of the 5 platonic solids convex regular polyhedra. The regular polyhedra have been known since deep antiquity. The platonic solids california state university, northridge. There are precisely 5 platonic solids, the tetrahedron, octahedron, cube, icosahedron and dodecahedron. The five platonic solids, also known as the five regular solids, were discovered in ancient times. A regular polygon is where each edge is the same length equilateral, and the angle between each joining edge is the same equiangular.