Puzzler's corner
04-20-2016, 05:08 PM
(This post was last modified: 05-21-2016, 10:48 PM by Kaynato.)
It's time to share and solve puzzles with friends.
This means that when you post you should attach at least 5 puzzles, and attempt at least 5 puzzles from previous posts. New puzzles should be numbered accordingly in ascending order, preserving previous puzzles' ordering.
Also - contrary to popular opinion, puzzles 1 and 5 probably have real answers.
Puzzle 1:
Let there be a regular pentagon P with a side length of 20 millimeters, inside which is inscribed a regular star sharing the vertices of the pentagon as its points. The star is shattered into 5 identical kites. The smallest distance from a "trough" of the star to the edge of the pentagon is shortened by 0.02 millimeters. The star is made of element Q, which is identical to gold but when in rectangular strips, varies its dimensions Width and Length as a function of temperature in the relation (Change in Width per second) = (Change in Length per second) = ln((Temperature in Kelvin)/298) + 1. Two kites are deformed into rectangular strips, of the same width as the shorter side of the kite, and dropped from an altitude X. Assuming that the atmosphere is infinite, what is the necessary altitude X to drop the kites from such that the two rectangular strips emit 500 nm light as a result of blackbody radiation when both in series with an ideal voltage source of 100 kilo-Volts?
Puzzle 2:
Five birds are circling overhead. The first one squawks. The second one squawks. The third remains silent. The fourth one yells in a human voice. The fifth one squawks. If it is high noon, and the barn is on fire, what is the chance that the birds are a figment of your imagination?
Puzzle 3:
Is the barn on fire?
Puzzle 4:
A large dog, a tiny dog, and an animate abstract sculpture walk into a bar. The large dog orders a large canister of water. The tiny dog orders a tiny canister of water. What does the abstract sculpture order?
Puzzle 5:
The last three kites from Puzzle 1 are also dropped from the same altitude, but as soon as they reach sea level, they are teleported into the void. In the void, their change in width and change in height is not additive but instead multiplicative. Assuming that they may only dissipate energy via blackbody radiation, when they reach room temperature, how many Indian Rupees may be earned by selling them at the market price of gold in India on January 21, 2015?
This means that when you post you should attach at least 5 puzzles, and attempt at least 5 puzzles from previous posts. New puzzles should be numbered accordingly in ascending order, preserving previous puzzles' ordering.
Also - contrary to popular opinion, puzzles 1 and 5 probably have real answers.
Puzzle 1:
Let there be a regular pentagon P with a side length of 20 millimeters, inside which is inscribed a regular star sharing the vertices of the pentagon as its points. The star is shattered into 5 identical kites. The smallest distance from a "trough" of the star to the edge of the pentagon is shortened by 0.02 millimeters. The star is made of element Q, which is identical to gold but when in rectangular strips, varies its dimensions Width and Length as a function of temperature in the relation (Change in Width per second) = (Change in Length per second) = ln((Temperature in Kelvin)/298) + 1. Two kites are deformed into rectangular strips, of the same width as the shorter side of the kite, and dropped from an altitude X. Assuming that the atmosphere is infinite, what is the necessary altitude X to drop the kites from such that the two rectangular strips emit 500 nm light as a result of blackbody radiation when both in series with an ideal voltage source of 100 kilo-Volts?
Puzzle 2:
Five birds are circling overhead. The first one squawks. The second one squawks. The third remains silent. The fourth one yells in a human voice. The fifth one squawks. If it is high noon, and the barn is on fire, what is the chance that the birds are a figment of your imagination?
Puzzle 3:
Is the barn on fire?
Puzzle 4:
A large dog, a tiny dog, and an animate abstract sculpture walk into a bar. The large dog orders a large canister of water. The tiny dog orders a tiny canister of water. What does the abstract sculpture order?
Puzzle 5:
The last three kites from Puzzle 1 are also dropped from the same altitude, but as soon as they reach sea level, they are teleported into the void. In the void, their change in width and change in height is not additive but instead multiplicative. Assuming that they may only dissipate energy via blackbody radiation, when they reach room temperature, how many Indian Rupees may be earned by selling them at the market price of gold in India on January 21, 2015?