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''Height'' uses a {{w|logarithmic scale}} to depict the contents of the {{w|universe}} at progressively smaller distances from Earth (less high above the Earth), starting at the highest possible "point," the edge of the {{w|observable universe}}, going all the way down to the grass beneath our feet. The comic is a direct companion piece to [[485: Depth]], also released on a Monday the week after this one. ''Depth'' similarly uses the logarithmic scale to depict the Earth at progressively greater magnification (going "deeper" down), from Earth's surface (the grass) to the interior of a single proton.
 
''Height'' uses a {{w|logarithmic scale}} to depict the contents of the {{w|universe}} at progressively smaller distances from Earth (less high above the Earth), starting at the highest possible "point," the edge of the {{w|observable universe}}, going all the way down to the grass beneath our feet. The comic is a direct companion piece to [[485: Depth]], also released on a Monday the week after this one. ''Depth'' similarly uses the logarithmic scale to depict the Earth at progressively greater magnification (going "deeper" down), from Earth's surface (the grass) to the interior of a single proton.
  
The very top (edge) of the observable universe is described as being 46 billion {{w|light years}} above the Earth. The universe is "only" about {{w|Age of the universe|13.8 billion years old}}, so the {{w|cosmic background radiation}} that reaches the Earth today has also only traveled 13.8 billion light years. However, during that time, {{w|Metric expansion of space|the universe has expanded}}, so the galaxies that formed from that spot where this background radiation was emitted 13.8 billion years ago would now be 46 billion light years away. This has led to many {{w|Observable_universe#Misconceptions_on_its_size|misconceptions regarding the size}}, the most typical being that the radius of the observable universe is "only" 13.8 billion light years. See this video, ''[https://www.youtube.com/watch?v=QXfhGxZFcVE How Do You Measure the Size of the Universe?]'', for a great explanation of the 46 billion light years.
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The very top (edge) of the observable universe is described as being 46 billion {{w|light years}} above the Earth. The universe is "only" about {{w|Age of the universe|13.8 billion years old}}, so the {{w|cosmic background radiation}} that reaches the Earth today has also only traveled 13.8 billion light years. However, during that time, {{w|Metric expansion of space|the universe has expanded}}, so the galaxies that formed from that spot where this background radiation was emitted 13.8 billion years ago would now be 46 billion light years away. This has lead to many {{w|Observable_universe#Misconceptions_on_its_size|misconceptions regarding the size}}, the most typical being that the radius of the observable universe is "only" 13.8 billion light years. See this video, ''[https://www.youtube.com/watch?v=QXfhGxZFcVE How Do You Measure the Size of the Universe?]'', for a great explanation of the 46 billion light years.
  
 
To the right of the text, [[Black Hat]] stands atop the comic, having just dropped a cat off the edge head first; he is clearly going to test if the cat will land on its feet, being a jerk per his usual character. It will take some time, though, before the cat reaches Earth....  
 
To the right of the text, [[Black Hat]] stands atop the comic, having just dropped a cat off the edge head first; he is clearly going to test if the cat will land on its feet, being a jerk per his usual character. It will take some time, though, before the cat reaches Earth....  
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Outside of the Earth's atmosphere, the objects are placed at their actual distances from Earth on the log scale, but their shapes are not subjected to the logarithmic scaling of Earth objects, instead appearing as they would be seen (otherwise, round objects like the sun would appear more egg shaped, with the flatter side facing upward). However, objects are still much larger or much smaller than they would be in real life, in order to allow them to be properly seen.
 
Outside of the Earth's atmosphere, the objects are placed at their actual distances from Earth on the log scale, but their shapes are not subjected to the logarithmic scaling of Earth objects, instead appearing as they would be seen (otherwise, round objects like the sun would appear more egg shaped, with the flatter side facing upward). However, objects are still much larger or much smaller than they would be in real life, in order to allow them to be properly seen.
  
In the title text, Randall muses on how the inwardly-curved sides of the {{w|Eiffel Tower}} might actually become perfectly straightened when subjected to this logarithmic distortion. Although it is shown to bulge in the comic proper, this may be a consequence of Randall's rough art style rather than any reflection of his beliefs. The actual shape of the Tower approximates an {{w|Exponential function|exponential curve}}, which would indeed give a straight line on a log scale, although it was actually designed by {{w|Gustave Eiffel}} to minimize wind resistance rather than to be mathematically exact (the design is so perfect that the amount the Tower sways in the wind is less than the amount it is distorted due to thermal expansion of the sunlit side).
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In the title text, Randall muses on how the inwardly-curved sides of the {{w|Eiffel Tower}} might actually become perfectly straightened when subjected to this logarithmic distortion, although it is shown to bulge in the comic proper, meaning Randall probably doesn't fully believe his own musings. The actual shape of the Tower approximates an {{w|Exponential function|exponential curve}}, which would indeed give a straight line on a log scale, although it was actually designed by {{w|Gustave Eiffel}} to minimize wind resistance rather than to be mathematically exact (the design is so perfect that the amount the Tower sways in the wind is less than the amount it is distorted due to thermal expansion of the sunlit side).
  
 
===Objects===
 
===Objects===

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