These are IFSs in which the elements are laid out in the form of 3 regular hexagons, with n+1 elements per side, and with the elements of 2 sides of each hexagon coincident with those of adjacent hexagons. As a hexagon has 3n2+3n+1 elements the terhexagonoid has 9n2+6n+1 (multiply by 3, substract 3n for the elements in the common edges, and subtract 2 for the central element).
The overall attractor approaches a terhexagon as the number of elements approaches infinity. Each element is rotated by 0° or 60° with respect to the overall figure.
The nth order terhexagonoid is the nth order offset 0 wedgewing (to be written up).
Source: Independently discovered.
© 2000 Stewart R. Hinsley