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Math Fair Category: 3D Objects & 2D Shapes

Tetrahedrons Snuggling

On a cold winter evening, Olive, the green tetrahedron said to her identical quadruplet sisters “It’s so cold that my vertices are numb, my edges…

Termite Terrorists

A colony of termites has attacked a house by carving out passageways trough the floorboards. The damage done is proportional to the number of triangles…

Sticky Tabs

To create the five Platonic solids, you can cut paper and then fold it. One of the best ways to do this is to cut…

Stair Climber

The LCD numbers on a stair climber or alarm clock or microwave are made up of straight sections arranged either horizontally and/or vertically. That is,…

Siege Geometry

A siege is a blockade of a town, city or fortress to try to make it surrender. One of the greatest practitioners of the siege…

Sally the Sleepwalker

Sally is a sleepwalker. Each night she gets up without knowing it, puts on her slippers and coat, and wanders around her village for an…

Robot Utopia

Human cities, especially newer ones are usually organized with orthogonal (right-angled) streets and avenues. Here is an example from Gaza: Robot cities are similar to…

Quinton the Quick Quilter

The Queen was upset. During her gold-hilted sword practice she had missed the target and ended up impaling her favourite quilt to the wall. Although…

Quilt Mending

The Queen has left Quinton with a palace full of quilts she damaged during sword practice. In each case what is the fewest number of…

Queens of Vanity

Queens can sometimes be vain. Place 7 Queens on the intersections of this triangular chess board so that none can look down a line and…