| Game: Lattice |
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Created by Karl Scherer, 2004-04-10
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version 10.0
49 variants
requires ZoG 2.0
Tiling
Solitaire
download 759 K
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Updated 2006-06-10
Three 'nowhere-neat side-alternating' variants added. |
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'Lattice' is collection of dissection puzzles and a (very basic) line drawing tool in one!
Lattice allows you to draw polygons on a two-dimensional rectangular grid.
There are 16 directions for line drawing (since V7.0):
- eight directions where angles are multiples of 45 degrees: n, e, s, w, ne, nw, se, sw.
- eight additional directions in the chess-knight 'hopping' directions
nne, nnw, nee, nww, sse, ssw, see, sww.
Lines can only cross at grid points.
In the DISSECTION PUZZLES presented here the shape of the tiles is usually given,
but their size usually is not given.
In the first variant you are given a 11x11 square.
Your task is to dissect this square into quadrilaterals in a 'nowhere-neat' way;
this means that no two tiles are allowed to have a full side in common.
First click the 'grid button, then click grid points to create your line drawings.
Try to use as few quadrilaterals as possible.
There is no win message. You are the judge.
Click help/solution to see a solution.
Several buttons are given at the left border:
'Line' button: Click start and end of the line you want to draw.
'Polyline' button: the end of the first line segment
will be the start of the next line segment, and so on.
Click 'Polyline' or the last gridpoint again to end a polyline.
'Delete' button: allows you to delete one item at a time by clicking it.
'Fill' button: allows you to fill polygons with colour; delete grid first.
(works fine as long as not two line segments are on one board position.)
'Fill colour' botton: click to change the fill colour.
'Grid' button: show (or hide) grid points.
'Clear' button: erase the whole picture.
Arrow buttons: use them to create polylines the easy way
(click polyline button first and indicate start of polyline by clicking the board).
Note that there is an alternative piece set (= colour scheme) available.
(Alternative colours fully available only if outlines are in 8 prime directions.)
Several variants with various geometrical problems are given.
(See the associated game descriptions for details.)
Group 1: 'Nowhere-neat' dissection problems.
Group 2: Dissecting a given shape into smaller ones which are all similar to each other.
Group 3: Similar to group 2, but here the size of the large shape is not given.
Group 4: Others
Freeplay variants:
Four 'freeplay' variants are attached where you can create your own designs.
These include two variants with THINNER DRAWING LINES (FILL is less versatile here).
Be patient! Game and solutions take a long time to load (over 600 images).
Boards come in sizes 24x24 and 49x25 (the included game 'Isolattice Light' also has 15x15).
If not mentioned otherwise, the tiling puzzles presented here have been taken from my geometry puzzle books 'A Puzzling Journey To The Reptiles And Related Animals', 'Nutts And Other Crackers' and 'New Mosaics'. See my web page http:/karl.kiwi.gen.nz for details. One dissection puzzle presented here is by Alfred Kurchan (Argentinia).
Related games: Isolattice, Reptiles I - III, B-Pento, G-Primes, Ypento, Y-Primes, Pento, Max, Nutts, Tangram, Backtrack, G-Backtrack, Y-Backtrack, Nutts-Solver, Max-solver. |
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(759 K)
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