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Question 1 - Page 160 - Tiling - Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)
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 90°
- Construction Methods in Śulba-Sūtras
- 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 60° and 6-pointed Star
- Figure it out - Pag 154, 155
- Tangrams
-
Tiling
- Figure it out - Page 160
- Tiling the Entire Plane
Transcript
Question 1 - Page 160 Use this idea to find another unit square that, when removed from a 5 × 3 grid, makes it non-tileable?Using our coloring logic, we can solve this instantly without drawing a single tile. The Logic: The full grid has 8 White and 7 Black. To make it tileable (equal numbers), we MUST remove a White square (so it becomes 7 White, 7 Black). If we remove a Black square, it becomes impossible (8 White, 6 Black). The Answer: Removing ANY Black square will make the grid impossible to tile. Looking at the grid pattern again, the Black squares are at these positions: Row 1: Middle (The one we already did) Row 2: Left & Right edges Row 3: Middle Row 4: Left & Right edges Row 5: Middle Summary: If you remove a square from the "majority color" (White), tiling is usually possible. If you remove a square from the "minority color" (Black), tiling is impossible. Examples could be
