Need to create a spiral

I think you mean a pinwheel.

Pages has excellent drawing tools. You can use the Drawing Tool in Shapes to draw a pinwheel curved arm then copy and repeat that whilst rotating each an additional 60 degrees or use the subtract option to chop up a circle shape to make an arm and repeat that.

When you are finished select each arm and specify whatever color you want.

Each method has its advantages. The lines let you play with the widths more easily, the shapes will let you tuck the overlaps into each other.

The image is of a polar graph of the curve formed by the equation r=Ø/6

The base equation is found in the Implicit curves and Explicit curves page in Examples.

After graphing the equation, I removed all parts of the chart (axes, grid lines, etc.) except the curve itself, then took a screen shot of the curve with as little extra back ground as possible, and inserted or pasted that into a Pages Page Layout document.

In Pages, I applied Instant Alpha to the white areas of the image, added the thin crossed lines to give me a centre point for the spiral, then duplicated the image and rotated each copy, then moved them into place using the (shift) and arrow keys.

Regards,

Barry

You could use a graphing tool, such as Grapher (supplied with your Mac) to create a single curve, then reproduce that curve five times, rotate each in increments of 60°, as suggested by Peter, and align the six with the 0 end (tighter curve) to meet at a single point.

The thin vertical and horizontal lines were aded as an aid to placing the zero ends of all six copies in a single location.

As these are screen shots of a graph, with Instant Alpha applied to each copy to make all but the curve transparent, adding colour might be difficult. No colour option was given for the images in the Format Inspector in Pages, and a colour applied to an object behind these would be difficult to confine. Could be worth some exploration, but I leave that to you.

Regards,

Barry

EDIT: @Viking:

That certainly looks more like what the OP is expecting. Those shapes have been added since my version pf Pages was released.

B.

A golden spiral is simply a fibonacci series of circular quarter archs, each the sum of the previous two numbers. :

Starting at zero, the sequence is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… and so on

So make a quarter arch, copy drag it by holding down the shift and option keys, increase it's size to the next in the sequence, rotate it 90° and butt it against the previous arch...

Something like this?

It started as a blue spiral shape from the Symbol category. I then visited the Format menu : Shapes and Lines : Break Apart. Then clicked outside of the cloud of selection grips to deselect all. At this point, I then separately clicked each segment and applied a different color to it. Then, select all when done, and Group from the Arrange tab.