Page 70 - NUMINO Challenge_C2

3 Stars formed by connecting dots on a circle are called Poinsot stars,
named af ter the French mathematician. If there are five dots on a

circle and a Poinsot star is formed by connecting every 2nd dot, the
5
Poinsot star is denoted as { 2 }. A { } Poinsot star has dots on the

circle and every th dot is connected. Answer the following questions.

Example

56 7
22 2

Draw { 6 }, { 7 }, and { 9 }.
3 3 4

{ 6 } { 7 } { 9 }
3 3 4

Stars { 6 } and { 6 } are separated. Stars { 5 }, { 7 }, { 7 }, and { 9 }
2 3 2 2 3 4

are connected. What relationship must and have such that { }

will be connected?

67Geometry