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The General Rule (for Tiling)
Last updated at February 6, 2026 by Teachoo
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)
- Constructing an Eye
- Constructing a Perpendicular Bisector
- Constructing angle 90Β°
- Construction Methods in Εulba-SΕ«tras
- Constructing Angle Bisectors
- Figure it out - Pag 144, 145
- Constructing Copy of an Angle
- Construction of a Line Parallel to the Given Line
- Constructing Arch Designs
- Constructing Regular Hexagon, Angle 60Β° and 6-pointed Star
- Figure it out - Pag 154, 155
- Tangrams
-
Tiling
- Figure it out - Page 160
- Tiling the Entire Plane
Transcript
The General Rule (for Tiling)For a π Γ π grid, and a 2 Γ 1 tile we can make general rules Is tiling possible if If both π and π are even: Yes. (Area is even). You can tile all rows horizontally or all columns vertically. If one is even and one is odd: Yes. (Area is even). Strategy: If you have a 3Γ4 grid, tile along the even side. You can view it as three rows of length 4. Since 4 is even, you can tile each row perfectly. If both π and π are odd: No. Reason: An odd number Γ an odd number = an Odd number. You cannot cover an odd area with even-sized tiles.
