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“Tower of Rensselaer”. Daniel Cammarata – Ichabod Crane High School Jacob Wilensky – Troy High School. “Tower of Rensselaer”. More commonly known as the Tower of Hanoi Mathematical recursion puzzle Goal: Get all rings from one end to the other
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“Tower of Rensselaer” Daniel Cammarata – Ichabod Crane High School Jacob Wilensky – Troy High School
“Tower of Rensselaer” • More commonly known as the Tower of Hanoi • Mathematical recursion puzzle • Goal: Get all rings from one end to the other • Rules: You are prohibited from placing a larger ring on top of a smaller ring
Our Tower Simple calculations were completed to assure the pieces fit inside the base.
Processes • Plastic injection molding (Base and spires) • CNC machining (Mold for plastic injection molding) • Laser engraving (Writing on base) • Abrasive water jet cutting (Rings) • Ultrasonic welding (Base pieces)
Parts • Rings: Abrasive water cutting (ABS) • Largest ring is 1.3” radius, each ring will decrease by 0.2” going up the tower. • Spires: Plastic injection molding (ABS) • Tapered ends to fit into hole on base. • 4.5”
Base/Storage Large base • Base – Plastic injection molding (ABS) • Thickness of walls: 0.25” • Hollow for storage • Piece 1 – Large base • Laser engraved • Piece 2 – Small base • Laser engraved • Ultrasonic welded • Piece 3 - Lid • Laser engraved • Allows for pieces to be stored Small base Lid
Costs of Production Cost per unit: $5
Why? • Exemplifies what RPI stands for, by using mathematics and engineering to solve problems • Utilizes 5 processes for the RPI MILL students to complete • Puzzling, mathematical, and … FUN!