Back to . . . .

Curve Bank Home
Curve Bank Index

NCB Deposit  # 139

Dr. Cye Waldman

NCB logo

Voderberg Deconstructed and Triangle Substitution . . . .

A Family of Tilings

Click here to see a full "pdf" file with Matlab code for Voderberg and Triangle Substitution Tilings.

Voderberg animation




Bent Wedge

We apply the equations for a generalized Voderberg tile that is parameterized in terms of a single angle;  all segment lengths and internal angles can be expressed in terms of it.  We then demonstrate how to turn those lengths and angles into a tile in the complex plane.  Finally, we apply a method of triangle substitution to create original radial and spiral tilings.  For more information be sure to read the attached "pdf" file.
Dr. Cye Waldman

Copyright Notice:  This animation and all images within are under copyright by Cye Waldman and may not be copied, electronically or otherwise, without his espress permission.
Dr. Cye Waldman

Other Waldman contributions to the NCB:
Sinusoidal Spirals:  < >
Bessel Functions    < >
Gamma Funcions   < >
Polynomial Spirals and Beyond   < >
Fibonacci and Binet Spirals with a touch of Mondrian  < >
"Other" Fibonacci Spirals and Binet Spirals  < >
A Mathematician's Valentine < >
The NCB thanks Dr. Waldman for his strong contibutions.

Other spiral Deposits in the NCB:
< >
< >

Other Cardioid - Valentines -  in the NCB:

index icon  
NCB Home logo
    signature      2014