Tree Trunk Illusion: Does it Disappear Over the Horizon?

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Discussion Overview

The discussion centers around the visual perception of a tree trunk as an observer moves away from it on a flat plane, specifically whether the lower part of the trunk appears to disappear below the horizon. The scope includes conceptual reasoning and observational claims related to geometry and perspective.

Discussion Character

  • Debate/contested, Conceptual clarification

Main Points Raised

  • One participant proposes that as an observer moves away from a tree on a flat plane, the tree appears smaller and may seem to sink below the horizon.
  • Another participant challenges this idea, questioning why the tree would appear to disappear.
  • A third participant references a claim made by someone who asserts they have observed this phenomenon on Earth, providing illustrations to support their view.
  • One participant emphasizes the curvature of the Earth, identifying it as an oblate spheroid, which may influence the perception of the horizon.
  • Another participant points out that the initial condition of a perfectly flat surface negates the existence of a horizon, suggesting a need for clarity in the problem statement.
  • A mention of a thumb-rule from Nathaniel Bowditch's American Practical Navigator is introduced, which relates to estimating the distance to the horizon based on height, though its relevance to the current discussion is not fully explored.

Areas of Agreement / Disagreement

Participants express differing views on whether the lower part of the tree trunk would appear to disappear as the observer moves away. There is no consensus, and multiple competing perspectives remain in the discussion.

Contextual Notes

The discussion involves assumptions about the surface being flat versus spherical, which may affect the interpretation of the horizon. The relevance of the thumb-rule mentioned is not fully integrated into the ongoing debate.

Ryan Bruch
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Supposed there is a tree on a perfectly flat plane. If an observer in front of that tree moves further and further away from the tree, the tree would look smaller and smaller. When the observer moves further and further away, would the lower part of the tree's trunk seem to disappear as if sinking below the horizon?
 
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No. Why would it?
 
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A person claimed that it does and that he had observed it before, on Earth though. These are his illustrations:

fig74.jpg


fig76.jpg


fig78.jpg


fig79.jpg


fig80.jpg
 
Earth is curved, an oblate spheroid.
 
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In more words, what Doug is telling you is that YOU were the one that specified a condition of a perfectly flat surface, thus, there is no such thing as a horizon. So, what is it? a flat surface or an sphere...please state your problem correctly and fully form the beginning.
 
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In Nathaniel Bowditch's American Practical Navigator is listed a most useful thumb-rule for estimating the distance to the horizon for practical heights of eye.
 

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