Related Experiment Video
Updated: Aug 4, 2026

08:04
Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues
Published on: December 5, 2013
Slope and the Zöllner illusion
1School of Psychology, Washington Singer Laboratories, University of Exeter, UK. D.C.Earle@exeter.ac.uk
Perception
|July 13, 2000
Summary
Viewing the Zöllner illusion on a sloping surface reduces its magnitude. This effect is only partly explained by changes in the angles between lines, suggesting other factors like contrast are involved.
Area of Science:
- Visual perception
- Geometric illusions
Background:
- The Zöllner illusion involves misperceiving the orientation of parallel lines when intersected by short, angled lines.
- Previous observations suggest the illusion's strength decreases when viewed on a sloping plane.
Purpose of the Study:
- To investigate if the reduction in the Zöllner illusion on a slope is due to the enlargement of intersection angles.
- To explore alternative explanations for this phenomenon.
Main Methods:
- Measuring the magnitude of the Zöllner illusion using a visual analogue scale.
- Comparing the illusion's magnitude on sloping planes versus vertically presented figures with altered angles.
Main Results:
- The effect of slope on the Zöllner illusion magnitude differed from that of vertically presented figures with enlarged intersection angles.
- Enlarged intersection angles accounted for only part of the illusion's reduction under slope.
- Observer perception of altered angles was veridical.
Conclusions:
- The enlargement of intersection angles is not the sole cause for the reduced Zöllner illusion on slopes.
- Diminution in the contrast of the intersecting lines may play a role.
- Further research is needed to identify the complete mechanism.
Related Concept Videos
z Scores and Unusual Values
The z score is one of the three measures of relative standing. It describes the location of a value in a dataset relative to the mean. z scores are obtained after the standardization of the values in a dataset. The z score for the mean is 0.
This score indicates how far a value is from the mean in terms of standard deviation. For example, if a data value has a z score of +1, the researcher can infer that the particular data value is one standard deviation above the mean. If another data value...
This score indicates how far a value is from the mean in terms of standard deviation. For example, if a data value has a z score of +1, the researcher can infer that the particular data value is one standard deviation above the mean. If another data value...
Depth Perception and Spatial Vision
Depth perception is the ability to perceive objects three-dimensionally. It relies on two types of cues: binocular and monocular. Binocular cues depend on the combination of images from both eyes and how the eyes work together. Since the eyes are in slightly different positions, each eye captures a slightly different image. This disparity between images, known as binocular disparity, helps the brain interpret depth. When the brain compares these images, it determines the distance to an object.
Sight Distance in a Vertical Curve
Sight distance on vertical curves is critical in roadway design. It ensures drivers can see far enough ahead to identify and respond to hazards effectively. This directly impacts safety, driver comfort, and the overall efficiency of the transportation network.Vertical curves are classified into crest and sag curves based on their geometry. For crest curves, sight distance is determined by the line of sight between a driver's eye and a small object on the road's surface. Design parameters for...
Interpretations of Partial Derivatives
A surface defined by a function of two variables can be visualized as a vast, uneven terrain, where each point is identified using Cartesian coordinates. The elevation of the terrain at any point is determined by a function that assigns a height value to every pair of horizontal coordinates. This representation allows the surface to be studied in terms of how its height varies across different directions.At a specific point on this terrain, understanding how the height changes requires...
Tangent Planes to Surfaces
In multivariable calculus, the concept of a tangent plane plays a central role in approximating curved surfaces. When dealing with a surface defined by a function of two variables, such as z = f(x, y), the tangent plane at a given point provides the best linear approximation to the surface near that point. This local linearization allows complex, nonlinear geometries to be treated using simpler, planar models.The construction of the tangent plane involves taking vertical slices of the surface...
Tangent Planes to Level Surfaces
A level surface consists of all points in space where a function of three variables takes the same fixed value. If a point lies on this surface, understanding the surface’s geometry there requires more than just knowing the point’s coordinates; it requires describing how the surface is oriented, or how it tilts, near that point.To probe this local geometry, imagine tracing a path that stays entirely on the level surface and passes through the point of interest. This path can be described as a...

