I am an embroiderer and I have been experimenting with geometric drawings. Like the diagram below.
I have been using Geogebra – I use the desktop app.
(1) Start with a circle (mine has a radius of 5)
(2) Place 6 points equidistant around the circle (I placed a point on the circle and then used the angle of a given size tool – 60 degrees)
I have hidden the angle markers to make everything a bit easier to see.
(3) Draw circles (with the same radius as the original) on every second point.
(4) Find the distance between two centre points of the new circles
(5) Using the centres of the three new circles, draw circles where the radius is the distance you found in (4).
(6) Mark the points of intersection.
(7) Hide the big circles
(8) Draw arcs
Finished – change the colour (if you want) and remove labels, etc.
