3D Shock Transitions
A14: second example: increase height of the squeezed tube
A5: increase size of the bump and move it upward (to perturb the rib)
A1A3-II: lower down the plane until the two red axial curves merge
A12A3-I: increase the bump at the A13 axial.
A12A3-II: lower down the attached elliptic cylinder
Bogaevski, 26 types of perestroikas.
The 26 topologically different
perestroikas of the momentary shock waves are shown by arrows (after Bogaevski).
Those relevant to the Medial Axis are indicated by a double-arrow.
Single lines indicate the (exterior) boundary of the shock illustration.
Double lines indicate rims where shock sheets are limited by surface ridges, i.e., they correspond to A_3 shock curves.
Triple lines indicate intercepts of shock sheets, i.e., they correspond to A_1^3 shock curves.
Concentric circles indicate an overlap of medial points.