Vertex Wonder for School Maths Lab

Quick Answer: Vertex Wonder is sold as a shape-construction set in which connector pieces form the vertices and sticks form the edges of 2D polygons and 3D skeleton solids. Maths classes use the set to count vertices, edges and faces, build prisms and pyramids, and test Euler’s formula V − E + F = 2.

Skeleton Shapes Make Edges Countable

Counting the edges of a solid block is surprisingly error-prone, because some edges are hidden and it is easy to count one twice. In a skeleton model built from connectors and sticks, each stick is one edge and each connector one vertex, so the numbers can be counted directly and the faces identified as the openings enclosed by sticks.

Building also makes students think about structure. A triangular prism needs 6 connectors and 9 sticks; a square-based pyramid needs 5 connectors and 8 sticks. Recording V, E and F for each solid in a table leads students to notice that V − E + F comes to 2 every time, which is Euler’s formula for convex polyhedra.

Younger pupils start with flat builds: triangles, squares and pentagons, and the discovery that a triangle made of sticks holds its shape while a square can be pushed over into a rhombus. That rigidity is why triangles appear in bridges and roof frames. The number of connectors and sticks, and the angles the connectors allow, should be confirmed.

Specifications

Care & Handling

• Sort Vertex Wonder connectors and sticks into separate compartments after each lesson so the next build can start quickly.
• Pull sticks straight out of connectors rather than twisting them, which can widen or split the sockets.
• Small parts are unsuitable for children who still put objects in their mouths; supervise younger classes.
• If parts need washing, use warm soapy water in a mesh bag and let everything dry fully.

Applications

• Building triangles, quadrilaterals and pentagons and comparing how rigid they are
• Constructing prisms and pyramids and tabulating their vertices, edges and faces
• Verifying Euler’s formula across several solids
• Showing the difference between a net (flat) and a skeleton (frame) of the same solid

Why Choose LabEquip

Primary and middle school teachers pick a construction set like this when students need to make shapes themselves rather than only look at them. For comparing a solid’s frame with its unfolded form, pair it with Paper Nets of Solid Shapes; both are in LabEquip’s Mathematics School Lab Products range. Ask for piece counts through the contact page.

Frequently Asked Questions

What does Euler’s formula say about polyhedra?

For any convex polyhedron, the number of vertices minus the number of edges plus the number of faces equals 2, written V − E + F = 2. An octahedron, for example, has 6 vertices, 12 edges and 8 faces, and 6 minus 12 plus 8 gives 2.

Why use skeleton models to count edges?

In a skeleton every edge is a separate stick and every vertex a separate connector, so nothing is hidden behind the shape. Students can touch or mark each piece as they count, which avoids the double counting that is common with solid blocks.

How many sticks and connectors does a cube need?

A cube needs 8 connectors, one at each corner, and 12 sticks of equal length. A cuboid needs the same numbers, but with sticks in three different lengths, four of each.

What makes a stick triangle hold its shape when a square does not?

Once its three sides are fixed, a triangle can take only one shape, so its frame cannot deform unless a stick bends. A square frame with flexible corners can lean over into a rhombus while all four sides keep their length. One diagonal stick splits it into two triangles and stops the movement.

What is the difference between a skeleton model and a net?

A skeleton model shows the edges and vertices of a solid as a frame. A net is the flat pattern of faces that folds up to cover the solid. Using both helps students connect faces, edges and vertices.

At what level is Vertex Wonder used?

Younger pupils use it to build and name flat shapes, while middle school students build prisms and pyramids and verify Euler’s formula. The same set can therefore serve several year groups.

Last Updated: September 2026