"And
who's also coming to the reunion?," asked Lewis. With a crafty smile,
dear Mack replied: "One grandfather, one grandmother, two
fathers, two mothers, four children, three grandchildren, one brother,
two sisters, two sons, two daughters, one father-in-law, one
mother-in-law, and one daughter-in-law. But don't worry about the small
space we've provided, for not as many people will attend as it sounds.
By the way, Lewis, in addition to others who are attending,
how many people will there be from what I said, and who will they be?"
Somewhat puzzled, Lewis hesitates, and asks you, his patrons, for some help. Please provide your reasoned answer below, as you help out our dear friend Lewis!
From Mack's reply, describe who is also coming, and how many will there be?
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For your ongoing enjoyment, I have retained these so-called Impossible Objects on here, as you contemplate the new challenge. I continually receive positive comments from many loyal Coffeehouse patrons. If you locate other good ones, please let me know. Please do this for our many visitors. Enjoy!...Ron Barnette
I credit Jim Loy for these marvelous example of
so-called impossible objects, which
should amuse you faithful Zeno's patrons, who appreciate
thought-provoking stimulation. And further thanks go to Aaron Sloman,
for this wonderful link to the Swedish artist Oscar Reutersvaard, who
predates Penrose and Escher!
http://www.sandlotscience.com/EyeonIllusions/Reutersvard.htm
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1. Asymmetric crate. An M. C. Escher creation, I surmise | |
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2. The Penrose staircase: Often drawn by M. C. Escher. Clockwise is downstairs forever. | |
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3. The tribar: Another impossible object by R. Penrose. It's hard to know how to color it, as the interior becomes the exterior. | |
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4. The Penrose triangle: Another famous impossible object by R. Penrose. This is sometimes called a tribar (see #3, above). | |
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5. An ambiguous ring...What is the outside? The inside? |