TimeSpaceLightForce
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Posts posted by TimeSpaceLightForce
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Yes,that's the least..and it helps to know. But i can only guess, the solution for all possible shuffled position is 8 maybe 9.
Nice job !
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Good one!
SpoilerThe actual intended puzzle is to make all horizontal and vertical alignment to "contain all the numbers (0 - 6)" .The solution eludes me until now.. But the vertical sum equals 21 is fun to do anyway. Here is one solution with all vertical containing (0-6):
6 6 6 4 5 6 3 6
5 5 4 5 3 4 6 2
4 4 5 3 6 1 2 5
3 3 0 6 4 2 5 1
2 2 3 2 0 5 1 4
1 1 2 1 1 3 4 0
0 0 1 0 2 0 0 3 -
That is correct !!
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A man sold part of his 16 x 12 m rectangular land property having 9 ft. high brick walls on all sides.
If he decide to use the existing brick materials to rebuild his walls..(see lot plan)
What should be the new height of his brick walls? -
Spoiler
The possible position of the disoriented cube that can not be done with 4 moves is one.
Now we search for the least no. of moves to solve that (bad position)..the best answer so far is 8.For the closing question.. would it be possible from your model:
1 - Rotate AC
2 - Rotate CD
3 - Rotate AC
4 - Rotate CD
5 - Rotate AC
6 - Rotate CD (D back in correct position as B)
7 - Rotate AC (A back in correct position as B)? -
Spoiler
All true..yet you maybe missing something like the the odd no. of moves?
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Spoiler
Probably only the parallel cut by Logophobic solves the 3-slice rectangular piece removal.
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Spoiler
Let an arrow pointing from front face to bottom edge be the reference Position 1.Then designate all other positions ..2-8 (low) ,9-16 (mid) ,17-24 (high).
Any cube (A , B ,C or D) can be rotated to all 24 positions via 2-axes. But not all 24 position is possible for the disoriented cube if it played from a solved state.
@Logophobic
Four moves cannot solve all possible positions of the disoriented cube. How many one cube disorientation can be solved with four ? -
Spoiler
How many slices are needed to remove the rectangle piece? If just one..Cut diagonally.
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How to make 2 cubes stick together on 24 positions with aligned edges?
Spoiler
Using 1x1x1 and the regular 3x3x3 Rubik's cube.
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Four modified 1x1x1 Rubik's cubes are sticking with each other by magnetics (as shown) forming the 2x2x1 puzzle block.
Starting with all the same colors on the same face to ensure solvability, shuffle by turning any two side by side
cubes on the axis that connects their centers. Few times will do.
To solve or play just apply the same rule of turn to rearrange for same colored sides. Maybe a different configuration.
Note that the 2 cubes cannot rotate on edges or face axis..just on the axis where both centers are.(90 or 180 deg)If by then only one of the cube is disoriented, how many turns more shall it take to complete the puzzle?
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On 6/26/2016 at 4:51 PM, Charlie said:
The train is travelling at 40mph. If the man can escape either way then he can cover ¼ the distance of the tunnel by the time the train reaches the entrance to the tunnel. If running in the other direction he will thus be half way through the tunnel by the time the train reaches the entrance. Since he only escaped by the slimmest of margins, the train effectively reaches the end of the tunnel at the same time, and hence travelled the entire length of the tunnel in the time it took the man to travel half the length of the tunnel. So the train is travelling at twice the speed of the man.
Hello Charlie ..i got it wrong! I guess you are right graphically.
Spoiler
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Spoiler
ratio 4:3
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Construct the most stable 7 layered tower on a flat surface out of a double-six Domino set.
The layers are made of 4 tiles (2x1x1/4") resting on their longer edges to form the squared walls.
Since the pips makes the dominoes lighter..the base of the tower should have even pressure. How then
tiles should be arranged or stack up? -
Alright, you got it.. I don't know if the spider can do that . Maybe with its farthest pair of eyes.
All webs made a 120 degrees angle with the adjacent web like the towns & roads problem.You can always minimize piping or wiring lengths using the same principle. The only task is
how to find the points to make 120deg network to connect N dots.Again, good solving to all .. thanks.
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@jasen
SpoilerYou described the shape correctly! (see previous post)..All you need to do is shorten plainglazed figure.
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Spoiler
The cad solution I made give the values calculated by last 2 posts. No need for math w/ CAD. Just draw the lines ,click property , to get precise lengths , angles, etc. Best for geometric puzzles. While Bb3k's drawing got the reduced OP requirement by using Desmos Calculator.
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Spoiler
Yes, the idea of uniformity and ideal no. of segments are criteria for its webwork.
@Bb3k
Web has weight ..so the horizontal member shall be connecting web ends of upper diagonals.
But the web should be wind resistant somehow. Can you see where the slacks here?
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Welcome here Philip..
Note that the spider can crawl to any cork without spending its web. It would cut and stick web ends anywhere .
Like the previous problem 7m is the length to beat.
What is the minimum length that should connect 3 points?
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17 hours ago, Buddyboy3000 said:
I finally found a way to make the road system less than 7.5 miles.
The idea I got was an edit of the idea that tojo928 gave. Instead of doing X's across four towns, it will be shorter to do something similar to the shape of two trapezoids. The left and right side of the X's are pushed inward to make a 0.5 mile road in the middle. Instead of 2.828 miles, this idea will be about 2.736 miles. Use two of these to replace the X's to make it shorter. The improved road system will be about 7.472 miles long.
The construction contract is yours..nice job.
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@Buddyboy3000
Nice strategy ..
Spoiler
..but looks longer.
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@tojo928
Your 7.65 mile road design is a good proposal.. but the budget is good only for road system shorter than 7.50 miles. Can you revise it?
Thanks you for submitting your work.
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A spider is going to weave its new territory attaching to all the tips of wine corks
at the cellar that are forming the 8 corners of a perfect cube (1 cu.m). The spider
must conserve its web fluid (with least linear meter used) and move from cork to cork.
Can you describe the shape of its web? How long it is?
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Hi there bonanova. .
You may consider curved and angled paths. but assume paving a narrower road on a flat open area. about 10 ft wide.
Light Bugs
in New Logic/Math Puzzles
Posted
All types of bulb beetles (Red,Green and Blue) inside a jar are always glowing
with the same color according to the most number of beetle type within the jar.
In case of equal in numbers they all glow with the same color mixture.
By transfering some beetles from one jar to the other 3 times..
How many of each type were captured? (See trial sequence below)