Page 75 - NUMINO Challenge_D1
P. 75
Type 8-2 Dual Polyhedron
Mark a dot in the middle of each face of the cube. The solid figure A
is made by connecting these dots. Write down the name of figure A,
and find the number of faces, vertices, and edges it has.
1 Dots are marked in the middle of each face of the cube. Connect the dots.
2 What is the name of the solid figure in 1 ?
3 Examine the drawing in 1 and complete the table below.
Faces Vertices Edges
Cube
A
4 Write the correct words in the blanks.
Mark a dot in the middle of each face of a regular polyhedron, then connect the dots. The
result is that a new regular polyhedron, or a dual polyhedron, is made. When the dots in
the middle of each face of a cube are connected, the new figure that is formed is called
the dual of a cube. The name of figure A in 3 , the dual of the cube, is .
The reverse of the above is true. When the dots in the middle of each face of figure A are
connected, the new figure that is formed is a cube.
The dots in the middle of each face of a regular polyhedron becomes the vertices of the
dual, so the number of faces is equal to the number of of the dual polyhedron.
The number of edges of duals is also the same.
72 NUMINO Challenge D1
Mark a dot in the middle of each face of the cube. The solid figure A
is made by connecting these dots. Write down the name of figure A,
and find the number of faces, vertices, and edges it has.
1 Dots are marked in the middle of each face of the cube. Connect the dots.
2 What is the name of the solid figure in 1 ?
3 Examine the drawing in 1 and complete the table below.
Faces Vertices Edges
Cube
A
4 Write the correct words in the blanks.
Mark a dot in the middle of each face of a regular polyhedron, then connect the dots. The
result is that a new regular polyhedron, or a dual polyhedron, is made. When the dots in
the middle of each face of a cube are connected, the new figure that is formed is called
the dual of a cube. The name of figure A in 3 , the dual of the cube, is .
The reverse of the above is true. When the dots in the middle of each face of figure A are
connected, the new figure that is formed is a cube.
The dots in the middle of each face of a regular polyhedron becomes the vertices of the
dual, so the number of faces is equal to the number of of the dual polyhedron.
The number of edges of duals is also the same.
72 NUMINO Challenge D1
