TM Geometiles
Building Ideas
Patent Pending
GeometilesTM is a product of
TM www.geometiles.com Welcome to GeometilesTM! Here are some ideas of what you can build with your set. You can use them as a springboard for your imagination! Hints and instructions for making selected objects are in the back of this booklet.
Platonic Solids
CUBE CUBE
6 squares 12 isosceles triangles
OCTAHEDRON OCTAHEDRON
8 equilateral triangles 16 scalene triangles
2 Building Ideas © 2015 Imathgination LLC
REGULAR TETRAHEDRA
4 equilateral triangles; 8 scalene triangles; 16 equilateral triangles
ICOSAHEDRON DODECAHEDRON
20 equilateral triangles 12 pentagons
3 Building Ideas © 2015 Imathgination LLC
Selected Archimedean Solids
CUBOCTAHEDRON ICOSIDODECAHEDRON
6 squares, 8 equilateral triangles 20 equilateral triangles, 12 pentagons
Miscellaneous Solids
DOUBLE TETRAHEDRON RHOMBIC PRISM
12 scalene triangles 8 scalene triangles; 4 rectangles
4 Building Ideas © 2015 Imathgination LLC
PENTAGONAL ANTIPRISM HEXAGONAL ANTIPRISM
10 equilateral triangles, 2 pentagons. 24 equilateral triangles
STELLA OCTANGULA, OR STELLATED OCTAHEDRON
24 equilateral triangles
5 Building Ideas © 2015 Imathgination LLC
TRIRECTANGULAR TETRAHEDRON
12 isosceles triangles, 8 scalene triangles
SCALENOHEDRON TRAPEZOHEDRON
8 scalene triangles 16 scalene triangles
6 Building Ideas © 2015 Imathgination LLC
Playful shapes
FLOWER
12 pentagons, 10 squares, 9 rectagles, 6 scalene triangles
7 Building Ideas © 2015 Imathgination LLC
GEMSTONE
8 equilateral triangles, 8 rectangles, 4 isosceles triangles, 8 scalene triangles
STAR
20 equilateral triangles, 2 pentagons
8 Building Ideas © 2015 Imathgination LLC
CASTLE
6 equilateral triangles, 12 rectangles, 12 isosceles triangles, 6 scalene triangles, 4 squares
9 Building Ideas © 2015 Imathgination LLC
CUBE WITH WINDOWS
A.K.A. TISSUE BOX
24 scalene triangles
10 Building Ideas © 2015 Imathgination LLC
Instructions and hints
Small Octahedron
1 3 2
Large Octahedron
1 2
3 4
11 Building Ideas © 2015 Imathgination LLC
Medium Sized Tetrahedron
1 2
4
3
12 Building Ideas © 2015 Imathgination LLC
Icosahedron
1
2
3 4
6 5
13 Building Ideas © 2015 Imathgination LLC
Dodecahedron
1
2
3 4
5 6
14 Building Ideas © 2015 Imathgination LLC
Cuboctahedron
1 2
4 3
5
15 Building Ideas © 2015 Imathgination LLC
Icosidodecahedron
1 2 3
4 5
6 7
16 Building Ideas © 2015 Imathgination LLC
Stella Octangula
2 1
X 2 X 2
3
17 Building Ideas © 2015 Imathgination LLC
Trirectangular Tetrahedron
Bottom face
Scalenohedron
2
1
Trapezohedron
2
1
18 Building Ideas © 2015 Imathgination LLC
Flower
Hint for making leaf for flower: first make the leaf using 4 scalene triangles.
Right angle
Then make the flower and attach leaf as shown with arrows:
Leaf is attached Attach leaf here
19 Building Ideas © 2015 Imathgination LLC
Star
Attach pyramid last
Cube with Windows
1
2
cover with lid
3
20 Building Ideas © 2015 Imathgination LLC