
Re: Consturction of 17sided regular polygon
Posted:
Jan 31, 1999 9:05 AM


On Sun, 31 Jan 1999, Peter Hung wrote:
> I have trying to find out the procedure for constructing a regular 17sided > polygon.
The neatest construction I know is due to Richmond  I call it the "quadruple quadrisection constriction":
1) quadrisect the perimeter of the circle, by points N,S,E,W;
2) quadrisect the radius ON by the point A;
3) quadrisect the angle OAE by the line AB;
4) quadrisect the straight angle BAC by the line AD:
N I   J C  F A  WGDOBHE       S
5) draw the semicircle DFE, cutting ON in F; 6) draw the semicircle GFH, centred at B;
7) cut the semicircle WNE by the perpendiculars GI and HJ to WE.
Then I and J are points of the regular heptakaidecagon on the circle ENWS that has one vertex at E.
John Conway

