In these visual problems students are stimulated to think further as they apply a mathematical rule in three different situations. On page 2 students are challenged to guess a rule that explains relationships between numbers. The rule, two numbers can connect if and only if one number is double the other number or one more than double the other number, allows students to explore those relations and their inverses. At the bottom of page 2, students label dots with numbers to demonstrate that they can apply the rules. On page 3 students use the rules to draw a series of two-way cords and numbered dots that connect cell phones to the towers. Posed with a bigger situation on page 4, students extend the pattern into a binary tree. Students are encouraged to transfer this pattern to create a classroom-sized tree where they can have fun creating the picture together. With another kind of thinking, on page 5 students discuss whether the network drawn for them is possible. It is a test of a student's ability to visualize mathematical rules correctly. This is an opportunity for students to use their inductive thinking, imagination and creativity. Answer keys are on pages 6-8.