This table shows the results of an inflation on each vertex of each tile. Lower case denotes a left-handed tile; the number denotes the participating vertex. For example, when the A tile has been inflated once, vertex 2 of a C tile and vertex 3 of a left-handed K tile come together at the point that was vertex 4 of the original A tile.
| Vertex | ||||
|---|---|---|---|---|
| Tile | 1 | 2 | 3 | 4 |
| A | B3, b3, B3 | B2, K2, k2 | C3, c3 | C2, k3 |
| B | b2, K2, k2 | B3, b3 | C3 | B1, b1, C1, K1, K1, k1, k1 |
| C | a1 | a2, C3, c3 | K2 | a3, c2 |
| K | B2, K2 | B3 | B1, K1 | K4 |
This graph
shows the effect of inflating each of the vertex
configurations. Except for 8a, every cluster eventually inflates to
one of the three 120-tile balls, which then cycle. The 22 global
configurations are shown as ovals; the constructed ones are
roundrects.
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