This puzzle is based on this great puzzle.
You are given a circle. You can draw two non-overlapping triangles of any size or shape inside that circle. What is the highest percentage of the circle area you can cover with the triangles?
Happy weekend folks,
The intersections of the three circles divide their interiors into seven "regions"
By complete non-coincidence, we have seven tiles
A "valid" placement is one where
all the tiles are placed and each region has exactly one tile
the tiles in each of the top circles sum to X
t...
The following Pentomino board has exactly one solution:
The solution is known.
I'm trying to solve this board manually, but it is so difficult that I came to believe it is impossible.
I noticed there must be five pieces in the right side, either in a 5x5 shape or in this similar shape with a sma...
In a 8x8 grid graph shown as below;
you can put points to the edge of grid shown as below (blue dots);
the example above has 4 points and you construct a line between two points as shown below;
so the question is
What is the maximum number of points you can have in a 8x8 grid graph, where no ...
You are running to catch a bus that is going on a horizontal road.
The bus is at point (0,0) while you are at point (s,k) where s and k are constants. The bus moves at some velocity v and you have to run to catch it. At what angle should you run in order to minimize the speed you need to run at i...