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Tangram & Tessellation Studio

Matamaitic · Shape & Space, Symmetry & Tessellations (1st–6th Class)

🏠 Games Hub

🧩 Ceardlann Tangram (The 7 Ancient Tans)

Arrange the 7 geometric pieces (triangles, square, parallelogram) to form silhouettes without overlapping!

Drag pieces to position. Rotate: Select piece & tap Rotate 45°

Selected Tan Controls

Click or tap a tan to select it

💡 Tip on Interactive Whiteboard: Tap a piece to select, drag with one finger, and tap the rotation buttons to align.

Did You Know? · An Raibh Fhios Agat?

A Tangram originated in China (called Qiqiaoban, meaning "seven boards of skill") and came to Europe in the early 1800s.

  • 🔺 2 Large Triangles (each 1/4 of total area)
  • 🔺 1 Medium Triangle (1/8 of total area)
  • 🔺 2 Small Triangles (each 1/16 of area)
  • ⬛ 1 Square (1/8 of area)
  • 🔷 1 Parallelogram (1/8 of area)

🔷 Saotharlann Teascailithe (Tessellation Lab)

Tessellation is tiling a surface using geometric shapes without gaps or overlapping. Explore why only certain regular shapes tessellate alone!

Select Shape:
Click or drag anywhere on the canvas to place tiles!

Equilateral Triangles

Tessellates Perfectly! ✅
Interior Angle: 60°
Around Vertex: 6 × 60° = 360°

Because 360° divided by 60° equals exactly 6, exactly six equilateral triangles fit snugly around every corner point without overlapping or leaving any gaps!

🌿 Nature & Real World Examples

Bee honeycombs use hexagons to store the maximum honey using the minimum beeswax perimeter (The Honeycomb Conjecture!).
Tile Color Theme:

🪞 Stiúideo Siméadrachta (Symmetry Mirror Studio)

Draw on one side and watch lines of reflective symmetry paint in real-time!

Line of Symmetry / Líne Shiméadrachta

Lines of Symmetry in 2D Shapes

Equilateral Triangle 3 Lines
Square 4 Lines
Rectangle 2 Lines
Regular Hexagon 6 Lines
Circle Infinite ∞
Scalene Triangle 0 Lines

☘️ Celtic Art & High Crosses

Ancient Irish Celtic high crosses and illuminated manuscripts like the Book of Kells use both reflective and rotational symmetry to craft intricate knotwork.

Curriculum Geometry Quiz · Shape & Space Question 1 of 10

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