While a convex face will appear to look in a single direction, and the gaze of a flat face, such as the Lord Kitchener Wants You poster, can appear to track a moving viewer, a hollow face can appear to move its eyes faster than the viewer: looking forward when the viewer is directly ahead, but looking at an extreme angle when the viewer is only at a moderate angle.
According to Richard Gregory, "The strong visual bias of favouring seeing a hollow mask as a normal convex face is evidence for the power of top-down knowledge for vision". This bias of seeing faces as convex is so strong it counters competing monocular depth cues, such as shading and shadows, and also very considerable unambiguous information from the two eyes signalling stereoscopically that the object is hollow. The illusion can be reinforced even more if a concave face is lit from below, as this will reverse the shading cues, making them closer to those of a convex face lit from above.
The Hollow-Face illusion has been used to study the dissociation between vision-for-perception and vision-for-action (see Two-streams hypothesis). In this experiment, people used their finger to make a quick flicking movement at a small target attached to the inside surface of the hollow – but apparently normal – face, or on the surface of a normal protruding face. The idea was that the fast flicking (rather like flicking a small insect off the face) would engage the vision-for-action networks in the dorsal stream – and thus would be directed to the actual rather than the perceived position of the target. The results were clear. Despite the presence of a robust illusion in which people perceived the hollow face as if it were a normal protruding face, the flicking movements they made were accurately directed to the real, not the illusory location of the target. This result suggests that the bottom-up cues that drive the flicking response are distinct from the top-down cues that drive the Hollow-Face illusion.
Another example of the Hollow-Face illusion is the "Gathering 4 Gardner" dragon. This dragon's head seems to follow the viewer's eyes everywhere (even up or down), when lighting, perspective and/or stereoscopic cues are not strong enough to tell its face is actually hollow. Keen observers will note that the head doesn't actually follow them, but appears to turn twice as fast around its center than they do themselves.
The Hollow-Face illusion is weaker among people with schizophrenia and other populations with psychotic symptoms, perhaps as a result of reduced tendency to interpret any kind of ambiguous 3D object as convex. It appears to be related to current mental state, namely in regard to current positive symptoms, inappropriate affect, and need for structure. The illusion seems to strengthen among successfully treated patients.
This face of Björn Borg appears convex (pushed out), but is actually concave (pushed in).
Hollow-face in snow
An optical illusion. A paper dragon shown from four angles across the 90 degree effective viewing area
The back of the paper dragon
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In 1993 ... Gathering for Gardner ... Jerry's Paradox Box ... The second Gathering for Gardner was in 1996. ... We also had been ruminating about Jerry Andrus and his Paradox Box, our designer WAG drew up a colored-marker version of an illusion based on the Paradox Box in the theme of a dragon. This was the first Thinky the Dragon, and Jerry loved it! ... For the third Gathering for Gardner in 1998, we (Binary Arts) gave a Thinky the Dragon handout to all conference attendees ...
- "Mathematics Awareness Month - April 2014 - Theme Poster: Thinky the Dragon and Hollow Face Illusions". Mathematics Awareness Month. American Statistical Association. 2014. Archived from the original on 2022-04-02. Retrieved 2022-04-25.
Thinky belongs to the class of hollow face illusions, which are a subcategory of ambiguous images. ... involves the combination of a subtle geometric effect, called reverse motion parallax (a variation of motion parallax) ... Like most Hollow Face illusions, Thinky is related to the Necker Cube illusion ...
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