this example of a cupcake bouquet and had to try to make my own for the workshop snacking purpose. First, I made a bunch of mini-cupcakes and frosted with buttercream, tip 104 in a carnation style. I experimented with different sized pots and ultimately decided on a mug to hold my bouquet because it was the right size. I needed a nine centimeter foam ball but did not have time to get to a craft store so I cut a florist's block and covered it with two layers of heavy duty tissue paper.
For the finishing touch I added some leaves using tip 68.
But what about the math, you ask? In determining how big of a foam ball to use, I had to decide how many cupcakes I wanted to display. Since I had made 24, I thought perhaps around 20 or 22 would work (always have extra for the hungry mouths around here.) I only wanted to do about 2/3 of the sphere because 1/3 would be underneath of course, so a 32 faced polyhedron seemed about right. Google gave me this equation:
where r is the radius of the sphere and a is side of a six sided polygon (okay it isn't a circle but its close) packed on that sphere(polyhedron- we're being a little fuzzy here).
Pretending for a moment that this polygon is the bottom of the cupcake I used circumfrence = 6*a and then:
Where rc is the radius of the circle or cupcake.
Solving for a yields:
Substituting this into the above equation:
My rc (radius of the cupcake) was 1.75cm. Solving for r gave me 4.5cm or a 9cm diameter ball to give me enough room for 22 cupcakes.
I did not have a 9cm ball, however.
Not to be deterred, I had a piece of floral foam which was 7cm on the shortest side so I cut a 7cm block and kept shaving off the corners until it was a ball. I used a total of 16 mini-cupcakes on the 7cm ball. If you feel like doing more math to calculate the equation for a 7cm ball feel free. I'm going to bed.