MATHematics
​To find the inner diameter of the innermost ring, the average diameter of a cup had to be found. I posted a survey asking people to measure their cups (and mugs). Twenty-five measurements were collected after a few days. An average was found by adding up all the data, dividing it by the number of data, and rounded to the tenth place.
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Average Diameter of a Cup/Mug: 3.3 Inches.
To make sure larger cups can be used, an extra .3 inches will be added onto the average: 3.6 inches.
This way, cups below the average and slightly above it can fit on the Gyralign.
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To find the radius of a circle, divide the diameter by two; the radius of an average cup is 3.6/2 = 1.8 inches. Therefore, the innermost gimbal must have a radius of that. To give the gimbal thickness and durability, it'll be 0.3 inches thick. This will be added to the outer radius of the gimbal, resulting in an inner radius of 1.8 inches and an outer radius of 2.1 inches.
The height of a cup was also asked to be measured so the Gyralign’s basket can be tall enough to hold at least 50% of a cup’s height. This would reinforce the stability of the cup and prevent it from spilling. ​
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Average Height of a Cup/Mug: 4.0 inches.
The height of the basket would therefore have to be at least 2.0 inches tall. For easy holding and placement, 3.0 inches were chosen.
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3.0 inches also has to be the maximum height of the attachable handle so users can place the Gyralign on a table.