20°

 

Mapping of regular polygons :square

 

Mapping of regular polygons :square

Mapping of regular polygons : triangle

 

Mapping of regular polygons

Mapping regular polygons(from my point of view) is mainly about measuring lines and segments of diagonal lines of regular polygons.  It is also about looking for  patterns occurring in regular polygons. In an octagon we can easily find ratios of square root 2, finding ratios and patterns in other polygons is much more difficult.

Lines of one in an octagon

49- gon

 49-gon and heptagon, squared numbers

14-gons

 

Decagons

Decagons

Heptagons

 

Heptagons

15-gon art design , 4n+3

 15-gon art , 4n+3

The nonagon and the square root 3

The nonagon and the square root 3

 

The nonagon and lines of 1 , 2 and square root 3. The circle in red has a radius of square root 3.

Nonagon and square root 3

 

The nonagon and the square root of 3

17-gon and square root 3

 

17-gon , 34-gon

 

17-gon , 34-gon

23-gon and triangles

 

23-gon and triangles

23-gon

 23-gon

23-gon

23-gon and hexagons

23-gon and squares

heptagon and nonagon

 

10-gon and 15-gon

 

The nonagon

 THE REGULAR NONAGON

The regular nonagon or 9-gon has 9 lines of equal length arranged around a middle point.

Figure 1:The nonagon

 

25-gon

 The golden ratio and the 25-gon

Regular polygons: nonagon

 Visual geometry: the regular nonagon

Square root 3 in a nonagon

Nonagon: lines of 1, 2 and square root 3 in a nonagon

odd numbers times 3,

 Odd numbers times three, 3x , x=odd number, 9,15,21,27,111

The square root of two

An interesting right angle triangle with sides: 1/2√5 , 1/2√3 and the hypotenuse √2

 

The square root of 2 and the golden ratio

 

Nonagon and hexagon

 NONAGON

construction of a regular nonagon, 9-gon , 

Heptagon and square root 2

 

Heptagon and square root 2