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Perceptions
Perceptual Illusions |
Mach Bands:
edges enhanced Heidinger's brushes perception of polarization |
Several optical illusions are HERE. |
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Misconceptions
General Index to Web pages Web site gateway: look for it. |
A pictorial fallacy:
subtler than it might seem |
The impossibility of this drawing was denied in a letter to the editor in Amer. J. Phys. The response from readers led to the editor insisting on a retraction from the letter writer. |
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Five steps to a better view. | Scope (the whole
truth)
Relevance (sort variables) Math (proportionality) Logic (avoid contradiction) Tensor (beyond scalars) |
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Arrange the athletes by size. | Fallacies of comparatives & superlatives |
MORE RUNNERS INTELLIGENCE |
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The magic of the mind
by magician Jerry Andrus |
Variations on Nekkar Cube |
MAGIC OF THE MIND, 2001 PARADOX BOX |
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Perception:
the importance of edges the role of motion |
The cat in the tulips:
a fun activity for children (and adults) |
CATS AND A FIRST STEROPSIS THE FIRST |
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Mathematics: Eureka!
"Once you've seen it you can never again not see it." |
Many math problems have surprising keys to solution. | The squares could be all white. It they were, discovering the key would be more difficult -- and it would better represent what mathematicians do. |
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Mathematics:
"You can find magic in places you never thought to look." |
There's an elegant principle.
(but trial & error works well) |
It's six blocks, each 1X1X3 fitting into a box 3X3X3 with nothing sticking out. |
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Mathematics:
"You can find magic in places you never thought to look." |
The same elegant principle.
Trial & error = frustration |
NOT WHAT IT SEEMS A CANTANKEROUS CUBE ONE PUZZLE AMONG MANY |
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The deceptive cube.
{Mikusinski revisited} Make the solution disappear. |
Things are not always what they seem. | This version of the Mikusinski puzzle was designed to allow a magician to cause the solution to disappear. |
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It's all in visualization. | Young children sometimes can do what their parents cannot. |
A TABLE FULL OF PUZZLES |
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The Monty Hall problem.
Even mathematicians err; the answer is staring at you. |
"It's very easy to seduce us no matter how smart we are ... with things
about probability -- because we tend to get them wrong."
Keith Devlin, on NPR |
2003 |
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The lottery:
"The shortest route to disaster is to stop looking once you found what you like." |
We tend to focus on the desirable -- and blur the undesirable.
Desirable: one ticket
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GULLIBLE'S TRAVAILS |