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)
TransparentNetFacesEdgesVerticesDihedral angles
(degrees)
Solutions
tetrahedron46470.5288 
hexahedron (cube)612890 
octahedron8126109.4712 
dodecahedron123020116.5651 
icosahedron203012138.1897 

Archimedean solids

Name
(Vertex Configuration)
TransparentSolidNetFacesEdgesVerticesDihedral angles
(degrees)
Solutions
truncated tetrahedron
(3.6.6)

8 faces

4 triangles
4 hexagons

1812

3-6: 109.4712

6-6: 70.5288

 
cuboctahedron
(3.4.3.4)

14 faces

8 triangles
6 squares

24123-4: 125.2644 
truncated cube
or truncated hexahedron
(3.8.8)

14 faces

8 triangles
6 octagons

3624

3-8: 125.2644

8-8: 90

1
truncated octahedron
(4.6.6)

14 faces

6 squares
8 hexagons

3624

4-6: 125.2644

6-6: 109.4712

 
rhombicuboctahedron
or small rhombicuboctahedron
(3.4.4.4 )

26 faces

8 triangles
18 squares

4824

3-4: 144.7356

4-4: 135

 
truncated cuboctahedron
or great rhombicuboctahedron
(4.6.8)

26 faces

12 squares
8 hexagons
6 octagons

7248

4-6: 144.7356

4-8: 135

6-8: 125.2644

 
snub cube
or snub hexahedron
or snub cuboctahedron
(2 chiral forms)
(3.3.3.3.4)

38 faces

32 triangles
6 squares

6024

3-3: 153.2344

3-4: 142.9833

 
icosidodecahedron
(3.5.3.5)

32 faces

20 triangles
12 pentagons

60303-5: 142.6226 
truncated dodecahedron
(3.10.10)

32 faces

20 triangles
12 decagons

9060

3-10: 142.6226

10-10: 116.57

 
truncated icosahedron
(5.6.6 )

32 faces

12 pentagons
20 hexagons

9060

5-6: 142.6226

6-6: 138.1897

1
rhombicosidodecahedron
or small rhombicosidodecahedron
(3.4.5.4)

62 faces

20 triangles
30 squares
12 pentagons

12060

3-4: 159.0947

4-5: 148.2825

 
truncated icosidodecahedron
or great rhombicosidodecahedron
(4.6.10)

62 faces

30 squares
20 hexagons
12 decagons

180120

4-6: 159.0947

4-10: 148.2825

6-10: 142.6226

1
snub dodecahedron
or snub icosidodecahedron
(2 chiral forms)
(3.3.3.3.5)

92 faces

80 triangles
12 pentagons

15060

3-3: 164.1753

3-5: 152.9314