Here are some photos of other 3D shapes that can be made from a particular modular piece.
What could you try?
Or perhaps you'd like to experiment with something new?
Connected cubes
Popper
Stellated octahedron
Stellated dodecahedron
Sonobe cube
More sonobe cubes
More than just modular
Take any 3D shape, is it possible to fold it from an A4 piece of paper?
In this TED talk, Robert Lang talks about the magic of origami and how it is possible to fold any object you can think of, from a single sheet of paper!
2D Bonanza – Start Simple
Fancy starting with the destination or the journey?
Destination
Can you make a square, kite, isosceles triangle, equilateral triangle?
Journey
What 2D polygons (regular or not) can be made from a single A4 piece of paper by folding any corner to any edge any number of times?
Is it possible to do this in such a way so that when you unfold the paper there are four identical triangles within your crease pattern?
You may also be interested in this article which discusses whether the angles of a triangle always add up to 180 degrees.
The book Project Origami: Activities for Exploring Mathematics presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry
to the fields of algebra, number theory and combinatorics.
Not the whole truth about triangles
Do the angles in a triangle always add up to 180 degrees? Read more here.
Paper Parabola – Start Simple
You might like to have a look at Paper Curves on NRICH to get you started.
The book Project Origami: Activities for Exploring Mathematics presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry
to the fields of algebra, number theory, and combinatorics.
