Double Hane Followup
White can connect, since Black threatens a double atari. White can also atari then connect at one of the points a, making a full triangle. If White plays one of the points b Black can atari at the other and force White into an empty triangle.
White can stretch (nobi) at 1 or double hane at a. At b makes an empty triangle. The hanging connection at c invites the atari at 1. Again White can play atari before playing one of those options.
With the marked stone in place, answering at a invites a double atari at b. White 1 and c are possible defenses. Both invite another atari by Black leaving many cutting points. White b would be bad shape.
Three is also the threshold for the double hane as a response being possible. The loss of three stones outweighs the ponnuki.
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