In this clip, Charlie uses fractal dimension to detect forged comics. He argues that forgeries take longer to draw, causing ink to seep out in a way that increases "wrinkliness", which can be measured by fractal dimension.
Tracy helps Calvin with his geometry homework by drawing large triangles on the side of his house. He uses basketball examples to help Calvin remember the different types of triangles.
The CyberSquad cannot make a big enough square with the rods it has available, so Jackie suggests making a triangle. The group successfully forms a triangle and then attempts to make a square with two triangles unsuccessfully. When Digit creates a right triangle, the group tries again to combine the triangles into a square. This time, it is successful, and Jackie explans how to know they've formed a proper square.
After eating dinner, Chuck illustrates to Wilson their slim chances of being rescued. He calculates the area that the rescue team would have to potentially search to find them: approximately 502,000 square miles.
Jack digitally recreates the thermal cycle of the storm and notes that it is pulling cool air from the upper troposphere. He models the cycle to gain such insights and learn that it is not an isolated incident.