3D Geometry & Nets (Smart Spatial Polyhedron & Laser Projection Box)
Source:
Construct 3D geometric polyhedrons from flat 2D magnetic nets! Place folded shapes inside a laser projection box. Hall-effect sensors count Faces (F), Vertices (V), and Edges (E), verifying Euler's Formula (F + V - E = 2) on screen.
Categorisation
Props & Materials Required
- •Magnetic folding 2D net set (Cube, Triangular Prism, Square Pyramid, Octahedron)
- •NFC tags embedded in shape faces
- •Laser line projection box
- •ESP32 controller board
- •0.96-inch OLED display screen
- •DFPlayer Mini MP3 module + 3W speaker
Step-by-Step Instructions
1
Fold Triangular Prism 2D Net
Fold flat 2D net into a 3D Triangular Prism shape.
2
Place Model in Laser Projection Box
Place 3D Prism inside the laser projection box.
3
NFC Array Identifies Shape Properties
NFC readers count Faces = 5, Vertices = 6, Edges = 9.
4
Euler's Formula Verification
OLED displays 'Faces (5) + Vertices (6) - Edges (9) = 2! EULER'S FORMULA VERIFIED!'. Speaker plays geometry victory fanfare!
Why It Works & Notes
Euler's Formula (Faces + Vertices - Edges = 2) holds true for all convex polyhedrons. Folding flat 2D cardstock nets into 3D shapes while an NFC reader verifies F, V, and E counts makes spatial geometry interactive.