Miscellanous Number Patterns
This is a small
sampling from my collection of over 400 patterns. I hope you enjoy
them.
And please call again soon.
Thanks to Dr. M. Ecker for
adding the 9 <> 0 above.
See a picture of this pattern in
cross-stitch, on my models
page.
Contents
| Introduction | A brief explanation of what this page is all about. |
Relation of consecutive odd numbers to squares. |
The sum of N odd integers starting at 1 equals N squared. |
Relation of consecutive odd numbers to cubes |
The sum of N odd integers starting after the previous series equals N cubed. |
Four Related Patterns |
42, 342, 3342, etc. and three other similar numbers. |
1089 and it's reversal |
1089 x 9, 10989 x 9, etc., & their reversals x 4. |
Patterns with Primes |
A page with 50+ prime number patterns. |
More Prime Patterns |
Prime plots, Prime Queens problem, Prime rectangles, etc. |
Narcissistic Numbers |
Patterns where the number equals some manipulation of its digits. |
Introduction
Herein are presented a miscellany of number patterns and interesting numbers. They are displayed with very little commentary but with the hope they will increase the viewer's appreciation for the beauty that can be seen in mathematics.
NOTE for elementary
mathematics teachers; perhaps this material will be of value to your students
for mathematics enrichment.
Recreational mathematics hobbyists. Can you add material or insight to these patterns?
See my policy on this web site regarding credits at All About Credits
Relation of consecutive odd numbers to squares.
The sum of N odd integers starting at 1 equals N squared.
Relation of consecutive odd numbers to cubes
The sum of N odd integers starting after the previous series equals N cubed
.
Four Related Patterns
1089 and it's reversal
These are the only 4, 5, 6 and 7 digit numbers that are equal to a multiple
of their reversal.
(The series may be extended indefinitely by inserting
nines into the center of each number.)