Figures 1 and 2
The first two drawings are my “evidence of inequity” in cutting the square cake in 5ths. Sorry @Dale . I cheated and used a tracing paper overlay, so I didn’t need to redraw everything. Sorry for the blur.
Just counting squares between the perimeters of the circle and square, it really seems like the person who gets that center top piece is losing out.
Top center, I count about 12 little squares missing from the cake.
L and R sides, next sections down, I count about 9 little squares missing.
L and R sides, bottom sections, I count about 7.5 little squares missing.
With the next arrangement of pieces, the numbers are a little different.
Top Left high and low pieces are missing about 11 little squares.
Top right and bottom left are missing about 9+ little squares.
Bottom right is missing about 8.
In the end, you know some kid is going to cry.
Figure 3
This is what I understand @mitchellmckain to have described. The orange lines are the interior cuts, and then the top and side edges are cuts.
