Studies of Euler diagrams/gap variants/medusa

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gap variants

unchanged shape[edit | edit source]

kusiga (without spot 0)[edit | edit source]

changed shape[edit | edit source]

nosafu (without spot 2)[edit | edit source]

Euler diagram

rudege (without spots 0, 2)[edit | edit source]


Set B can be represented by the outside of the green circle. This leads to a gapspot at the edge of the image, which can be removed, by moving it beyond the edge.
Without set B this is the foravo hexagon with 6 cells. Without any one of the other sets it is the bunese triangle with 7 cells.

farofe (without spot 3)[edit | edit source]

Spot 3 is one of the octants of the 3-split ABC. Without it, it disappears.

Euler diagram

vidita (without spots 1, 8, 9)[edit | edit source]

Euler diagram

niliko (without spots 2, 3)[edit | edit source]

Without these two adjacent spots, both 3-splits (ABC and BCD) lose their bottom front octant, and disappear. Only the six 2-splits are left.

Euler diagram

sapigi (without spots 0, 2, 4, 6)[edit | edit source]

Without these four adjacent spots, the 2-split AD loses its quadrant on the right. It disappears, and the two borders A and D are now parallel.
The only fullspot in the overlap of A and D is 9. But the 2-split BC requires four quadrants in each of the three AD regions.
The missing three quadrants besides 9 are the gapspots 11, 13 and 15. The shape is like that of barogi.

graph and Euler diagram