# QATGC 2014 Challenges

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This Challenge page is dedicated to the Gifted and Talented Children Workshops in July 2014.

From the information provided below, a group of Year 3-6 students will construct these 3D shapes using Logo programming language and write blogs to present their 3D virtual worlds.

Note: The time was too short in the workshop so this challange will keep going and open for publics.

Platonic solids

 Name(Vertex Configuration) Transparent Net Faces Edges Vertices Dihedral angles(degrees) Solutions tetrahedron 4 6 4 70.5288 hexahedron (cube) 6 12 8 90 octahedron 8 12 6 109.4712 dodecahedron 12 30 20 116.5651 icosahedron 20 30 12 138.1897

Archimedean solids

 Name(Vertex Configuration) Transparent Solid Net Faces Edges Vertices Dihedral angles(degrees) Solutions truncated tetrahedron(3.6.6) 8 faces4 triangles4 hexagons 18 12 3-6: 109.47126-6: 70.5288 cuboctahedron(3.4.3.4) 14 faces8 triangles6 squares 24 12 3-4: 125.2644 truncated cubeor truncated hexahedron(3.8.8) 14 faces8 triangles6 octagons 36 24 3-8: 125.26448-8: 90 1 truncated octahedron(4.6.6) 14 faces6 squares8 hexagons 36 24 4-6: 125.26446-6: 109.4712 rhombicuboctahedronor small rhombicuboctahedron(3.4.4.4 ) 26 faces8 triangles18 squares 48 24 3-4: 144.73564-4: 135 truncated cuboctahedronor great rhombicuboctahedron(4.6.8) 26 faces12 squares8 hexagons6 octagons 72 48 4-6: 144.73564-8: 1356-8: 125.2644 snub cubeor snub hexahedronor snub cuboctahedron(2 chiral forms)(3.3.3.3.4) 38 faces32 triangles6 squares 60 24 3-3: 153.23443-4: 142.9833 icosidodecahedron(3.5.3.5) 32 faces20 triangles12 pentagons 60 30 3-5: 142.6226 truncated dodecahedron(3.10.10) 32 faces20 triangles12 decagons 90 60 3-10: 142.622610-10: 116.57 truncated icosahedron(5.6.6 ) 32 faces12 pentagons20 hexagons 90 60 5-6: 142.62266-6: 138.1897 1 rhombicosidodecahedronor small rhombicosidodecahedron(3.4.5.4) 62 faces20 triangles30 squares12 pentagons 120 60 3-4: 159.09474-5: 148.2825 truncated icosidodecahedronor great rhombicosidodecahedron(4.6.10) 62 faces30 squares20 hexagons12 decagons 180 120 4-6: 159.09474-10: 148.28256-10: 142.6226 1 snub dodecahedronor snub icosidodecahedron(2 chiral forms)(3.3.3.3.5) 92 faces80 triangles12 pentagons 150 60 3-3: 164.17533-5: 152.9314