A quadrangular parallelopiped (10 X 10 X 20 cm.)
A quadrangular parallelopiped equal to 1/3 of above
A quadrangular pyramid (10 X 10 X 20 cm.)
A triangular prism (10 X 20 cm.)
A triangular prism equal to 1/3 of above
The corresponding pyramid (10 X 20 cm.)
A cylinder (10 cm. diameter, 20 altitude)
A cylinder equal to 1/3 of above
A cone (10 cm. diameter, 20 altitude)
A sphere (10 cm. diameter)
An ovoid (maximum diameter 10 cm.)
An ellipsoid (maximum diameter 10 cm.)
Regular Polyhedrons
Tetrahedron
Hexahedron (cube)
Octahedron
Dodecahedron
Icosahedron
(The faces of these polyhedrons are in different colors.)
Applications: The Powers of Numbers.
Material: Two equal cubes of 2 cm. on a side; a prism twice the size of the cubes; a prism double this preceding prism; seven cubes 4 cm. on a side.
The following combinations are made:
The two smaller cubes are placed side by side = 2.
In front of these is placed the prism which is twice as large as the cube = 22.
On top of these is placed the double prism, making a cube with 4 cm. on a side = 23.
One of the seven cubes is put beside this = 24.
In front are placed two more of the seven cubes = 25.
On top are put the remaining four equal cubes = 26.