All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Ring sets (Posted on 2022-09-22) Difficulty: 3 of 5
Define a "ring" as a grouping of congruent regular polygons, each sharing a side with two others, made into a fully rotationally symmetrical ring. That is, it has as many rotational symmetries as there are polygons.

For example, 6 equilateral triangles can be made into a very tight ring, as can 4 squares or 3 regular hexagons. Ten regular pentagons can also be made into a ring with a nice decagon inside. For hexagons, there can also be a ring of 6 with a central hexagon. The central region need not be a regular polygon.

The "Ring Set" R(n) is the set of possible numbers of n-gons that can make a ring.

From the above examples, R(3)={6}, R(4)={4}, R(5)={10} and R(6)={3,6}. Find a rule to describe R(n).

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionCharlie2022-09-22 11:55:17
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (3)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information