Tatami Tiling

Premise

• What tatami tilings are
• Constraints

Interesting Tilings

Outline:

• start with all tilings 1x1 up to 16x16
• remove impossible ones
• note patterns.
• remove ones w multiple solutions
• remove ones w simple whorl solutions
• remove ones w 2 whorls in a symmetrical layout
• remove trivial / uninteresting ones (eg:1xN)
• what's left?

Visualizations

• Need way to highlight current ones being changed. Brighten? Darken all the others?

• Mousing over selections should show a preview

• Split out colors into a separate page

Sample Code

createGrid(17,17) // each cell has a value, color, and map to show when moused over

.fillValues(<list of 289 values? start with question marks until investigated?>)

.colorAllCells(unknownColor) // purple

.colorRow(0,headerColor) // light grey

.colorCol(0,headerColor) // light grey

.colorCells([cells], impossibleColor) // black

.colorCells([cells], trivialColor) // red. eg: 1xN.

.colorCells([cells], manySolutionsColor) // orange

.colorCells([cells], oneWhorlColor) // yellow

.colorCells([cells], tooSymmetricalColor) // yellow

.colorCells([cells], prettyGoodCandidatesColor) // green

.colorCells([cells], bestOptionColor) // bright green?

• investigation