Parametric Pyramids of Hanoi

Printable eight-pyramid towers of Hanoi set.

Prints in two alternating stacks on the printer. Preview shows the hanoi-style stack. These are intended to be played by setting up the stack and moving pyramids from stack to stack across three locations, using the same rules as disks. Print two or more sets in different colors for multi-color towers.

Modifications

Almost everything about this set can be customized.

• The count is the number of total pyramids to print. The odd-numbered pyramids are in negative Y, and the even-numbered pyramids are in positive Y. They are all stacked largest on the bottom and smallest on the top for play, but they are of course printed the other way around.
• The sides says how many sides to print. 60 will be close enough to a cone as makes little difference when printed. Three to six sides should be generally playable, but go ahead and experiment.
• The base is thediameter of thecircumscribing cylinder around thesmallest pyramid, and for an odd number of sides will not correspond to any specific measurement of the objects produced.
• The thickness is the X-Y thickness of the shells, so that the actual thickness of the shells in the object will be tan(angle)*thickness
• The angle is theexternal angle, the slope of the pyramid away from vertical.20 is a very tall pyramid; 45 is a squat pyramid and is probably as large an angle as you want.

If you try to split and re-arrange in the slicer,be careful because the inner pyramids are unlikely to rearrange with the outer ones. This is a case where it is better to rearrange in the model than in the slicer.

Files kept at github

Copyright 2018 Michael K Johnson

Use allowed under Attribution 4.0 International (CC BY 4.0) license terms https://creativecommons.org/licenses/by/4.0/legalcode

Category: Math