Let's have an odd prime, $P$ of the form $P^2\equiv 1 (mod3)$. If we have a 7 X 7 square grid with 49 individual squares, we can fill it with trominoes. See below, where A1 is the position of the single empty square.
If we keep doubling the side of this square indefinitely, eg. $7^2, 14^2, 28...
This puzzle is closely based on this one: Generating numbers with cubes
Now we want to generate Roman numerals by placing three 6-sided cubes side by side. We are allowed to write multiple numerals on each side of a cube, such as "III" for 3 or "XX" for 20. What is the largest contiguous range o...
Finding my way I forge a new path
Cutting through wood with what alchemists hath
Fields not mountains I seek for swift passage
Cross this land I must to pass on my message
Who is this messenger?
In whole, you may see me in the competition, or on the street.
Remove my front part, you may see me in the body, or on the lawn.
Remove my rear part, you may see me in the prison, or in the grocery.
Remove my middle part, you may see me in the sea, or on the stage.
...
I may be seen (though maybe that's not the right word) in a piece of art.
Remove my last, and I become a cheery greeting.
Remove my first, I may go to prison or an office computer.
Remove my middle, I'm in the office at the top.
What am I?
^ If @Randal'Thor hasn't uncharacteristically got first and last mixed up, this is an interesting example of a riddle that works just as well after a reversal.
Spiral Stumper Series is a $5$-puzzles series taken from the Final Round of a local (national) contest, KPK, which has been ended recently and authored by me. The theme is spiral and each puzzle is standalone (there will be no meta, etc.)
Fillomino (taken from Nikoli)
Fill in all ...
Can someone please help me to find the answers and the logic behind the 2 questions below?
The questions are from the test taken from the website:
http://www.iq-brain.com/example/1
I could solve most of the questions, but the below ones I am not sure.
1:
2:
I'm sorry about the title; I lost a bet with the '90s.
Below are five categories. Each category is united by one word in the category; furthermore, each category rule is formed in the same way as the other category.
Find the word in each category that holds the category together.
pilgrim...
Please leave this puzzle for users with less than 100 rep.
Each of the following lines until the last provides a significant clue for solving the next cipher.
Letters have a natural order
C SEA WRA SA VTN YRE RP O RG SSE VI E UB TT H NE XE T PIC H RE SI
uifpwoehuwevjhtuxjpuhbma
5315321335331...
A computer programmer looked at part of his code
x = x + 1;
and then thought what a strange equation that would be for a mathematician
$$x=x+1$$
The programmer asked some mathematicians if any number, $x$, would satisfy the mathematical version of the equation above.
What do you think happ...
Inspired by @Athin's efforts, I decided to try to come up with a Yajilin puzzle of my own for your entertainment and amusement.
Finding my way I forge a new path
Cutting through wood with what alchemists hath
Fields not mountains I seek for swift passage
Cross this land I must to pass on my message
Who is this messenger?
Fill in the right words and the answer can be read across. Enjoy!
Expensive
Automatic
Life
Shrink
Nadir
Named
Winter
In whole, you may see me in the competition, or on the street.
Remove my front part, you may see me in the body, or on the lawn.
Remove my rear part, you may see me in the prison, or in the grocery.
Remove my middle part, you may see me in the sea, or on the stage.
...
I may be seen (though maybe that's not the right word) in a piece of art.
Remove my last, and I become a cheery greeting.
Remove my first, I may go to prison or an office computer.
Remove my middle, I'm in the office at the top.
What am I?
Spiral Stumper Series is a $5$-puzzles series taken from the Final Round of a local (national) contest, KPK, which has been ended recently and authored by me. The theme is spiral and each puzzle is standalone (there will be no meta, etc.)
Fillomino (taken from Nikoli)
Fill in all ...
Can someone please help me to find the answers and the logic behind the 2 questions below?
The questions are from the test taken from the website:
http://www.iq-brain.com/example/1
I could solve most of the questions, but the below ones I am not sure.
1:
2:
I'm sorry about the title; I lost a bet with the '90s.
Below are five categories. Each category is united by one word in the category; furthermore, each category rule is formed in the same way as the other category.
Find the word in each category that holds the category together.
pilgrim...
A computer programmer looked at part of his code
x = x + 1;
and then thought what a strange equation that would be for a mathematician
$$x=x+1$$
The programmer asked some mathematicians if any number, $x$, would satisfy the mathematical version of the equation above.
What do you think happ...
