Do you know which Domaćica cookie is actually the biggest?
One of our users made a fun study on the sizes of the popular Domaćica cookies, a crunchy tea biscuit covered with chocolate on one side, using a 3Dsurvey AprilTag mat. These cookies are produced in Croatia, and are a staple in many Balkan households. Have you ever wondered which of the five embossed patterns is the biggest?
Which Domaćica is the best to eat?
Well, you think you know which Domaćica cookie is the most profitable to eat at guests and at home. While I ate some at home yesterday, the idea came to me to take that calculation to a slightly higher level. I focused on the volume from the 3D model, but also made calculations based on the volume and area from the true ortho image from the full 3D mesh for comparison.
The question has been around for a while. Others who did it before me had slightly more difficult calculation methods. I inserted photogrammetry into the calculation and everything in the somewhat “real” scale. I put it in meters instead of cm for easier display of calculations. So everything you see that is in m is actually cm, and everything that is in cm is a mm size.
I made a 3D model from 116 photos (the pictures are of fixed parameters f/1.8, shutter speed 1/50sec, ISO-100 and the focus due to proximity, some manual, some automatic, snapped quickly in the kitchen with Samsung S22U).
For the base, A4 paper was used with AprilTags (coded stamps) for automatic recognition of the center of the stamp to obtain a model in precise scale.
The conclusion that the triangle is the shape with the greatest proportions is from my calculation of randomly selected pieces. It is possible that in the same box even the same shapes may have different deviations. But that is already a struggle in itself.
Once again, let me note that the scale is x100, i.e. meters are actually centimetres, and centimetres are millimeters in my calculation as far as actual values are concerned.
Table of Parameters
Here is the table of parameters calculated for each shape, and below the table some more details.
Area | Perimeter | Volume | Ratio | |
Triangle | 14.02 | 15.27 | 10.61 | 100% |
Square | 13.39 | 14.46 | 10.54 | 99% |
Heart | 13.34 | 14.37 | 10.27 | 97% |
Oval | 13.87 | 14.50 | 9.98 | 94% |
Half-moon | 12.61 | 14.47 | 9.03 | 85% |
In my calculation, the shape with the largest surface area, perimeter, and volume is the Triangle. What deviates and is “unprofitable” is the Half-moon shape which is only 85% of the volume of the Triangle. The rest of the cookies are very close.
Enjoy and have a good time.
Report
Credit: Franjo Želinski. Thank you for this case study.