4D Super Frame

Compositions and features

Super 4DFrame that teaches both mathematical meaning and teamwork through group activities

4D Super Frame is a giant educational tool for outdoor activities and group classes. It consists of two frames types of 60cm and 53cm long as well as pentapod and hexapod connectors. As it is made of soft plastic, polypropylene, it is safe and harmless to the human body. Children can build structures together with Super 4DFrame, experiencing play and learning simultaneously.

Effects of activity

Children can expand the 1st phase Sierpiński Pyramid – comprised of four regular tetrahedrons with 60 cm long frames and connectors that can connect such frames – to not only planes but to spaces. Since the 2nd phase Sierpiński Pyramid can be constructed by integrating four 1st phase Pyramids, the effect will be double if they are constructed together in collaboration with friends. The biggest advantage of Sierpiński Pyramids constructed by 4DFrame is that it can be a part of group activity pursuant to which children can learn the importance of collaboration as well as mathematical principles and cultivate thoughtful considerations for friends.

Sierpiński Pyramid

A triangle, the minimum unit of all 2D figures, has a center of mass at the bottom unlike other 2D figures. As a result, it is rigid and stable, and its shape is not affected by any force and pressure. When the midpoint of each side of a triangle is connected, four triangles are created. If the process is repeated, the number of triangles similar to the first one increases infinitely, and this is called the Sierpiński Triangle. The Sierpiński triangle was named after Polish mathematician Wacław Sierpiński who first presented it in around 1915. Its characteristic is that while the sum of perimeters of triangles infinitely increases their areas gradually decrease.

Geodesic Dome & Sphere

The geodesic dome, which can create a large space with the small number of materials, refers to a hemispherical roof conceived by Richard Buckminster Fuller, a US architect in the 1940s. The dome isconstructed by equally dividing each corner of the icosahedron into four, dividing each side into multiple equilateral triangles, and amplifying the resulting shapes. In the end, those equilateral triangles become the triangular shapes drawn on the sphere and all their vertexes are at the same distance from the center of the solid.

In this way, the geodesic dome becomes a polyhedron that is very close to a sphere consisted of triangles. Another critical aspect is that its all sides are consisted of triangles. Triangles are stable and they are not transformed by any force and pressure because their center of mass is located at the bottom and their force is dispersed. The geodesic dome will be a very robust structure since all sides are comprised of triangles.