Sunday, August 12, 2012

Rising Skyscrapers


I do not like the title, but could not find a good title either.This test contains some nice puzzles.I like Signage,spiral ships and skyscrapers among those. This post contains two skyscraper puzzles,the first one is a new one(based on the IB at LMI) and the other one below it was based on a variation very similar to this one, except that the digits along grey lines need also to be consecutive. The test has smaller grids,so i guess they might be a little trickier and thus the difficulty might end up being the same as this larger one.
Rules:Fill the grid with digits from the given range,so that each digits appears exactly once in every row and column.Each digit represents a building, with the height of that digit itself.Clues outside the grid indicate the number of buildings that can be seen from the corresponding directions, considering that the taller buildings block the view of the shorter ones.The digits on the grey lines should be in increasing(decreasing) order, from one end to another.
For the second puzzle, the digits have to be consecutive and sorted.


Saturday, August 11, 2012

Relational slitherlink


I revisited this variation after a very long time.

Rules:
Puzzle edited in the bottom-left for uniqueness.Thanks to boing for pointing it out.

Coin collection


This is a Coin collection puzzle.

Network fillomino


This is a new fillomino variation. Rules:Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers.Place exactly one circle in every polyomino.Cells containing circles cannot form 2x2 squares.All these circles should be interconnected,i.e., every circle should be reachable from every other circle by moving horizontally or vertically through the cells.Some circles are already given.

Wednesday, August 8, 2012

Sashigane


Rules:

Fillomino: Parity of neighbours


Rules: Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers. If a cell is colored,all the polyominos that this cell borders with,are all of the same parity,opposite to the parity of the polyomino that this cell belongs to. Every shaded cell shares a border with atleast one polyomino.

Friday, August 3, 2012

Sudoku graph


This is one of my sudoku ideas. Rules: Place a digit from 1 to 9 so that each digit appears exactly once in every row, column and outlined 3x3 region.digits outside show all occurences of digits of which are smaller than their immediate predecessor in that row/column.An '*' indicates there could be any number of such digits in that row/column.

Pentomino Shikaku


Rules:divide the grid into rectangles.Every number should be contained in a rectangle of that area.No two numbers belong to the same rectangle.The remaining cells should be divided into all twelve different pentominos.Each cell with a circle belongs to a different pentomino.

Wednesday, August 1, 2012

Fillomino : Twins



Rules:Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers. For every polyomino in the grid,there is exactly one polyomino,identical in both shape and size.

Fillomino: Dead ends



This is a new fillomino variation.
Rules: Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers. Grey cells are dead ends.A cell is a dead end cell if it is connected with exactly one cell of the polyomino it belongs to.1-cell areas are not dead ends.All dead ends are marked.None of the white cells are dead-ends.
Modified for uniqueness