Find out about a sinusoidal characteristic involving it here.

Understand the convergence of it here.

See its  geometry  here.
http://www.mapleprimes.com/posts/42157-The-MRB-Constant
http://www.mapleprimes.com/posts/41904-The-MRB-ConstantA
http://www.mapleprimes.com/posts/41903-The-MRB-ConstantB
http://www.mapleprimes.com/posts/37851-MRB-ConstantC
http://www.mapleprimes.com/posts/37056-MRB-ConstantD
http://www.mapleprimes.com/posts/35901-MRB-Constant-E
http://www.mapleprimes.com/posts/35778-MRB-Constant-F
http://www.mapleprimes.com/posts/35691-MRB-Constant-G
http://www.mapleprimes.com/posts/35512-MRB-Constant-H
http://www.mapleprimes.com/posts/81003-MRB-Constant-I
http://www.mapleprimes.com/posts/80837-MRB-Constant-J
http://www.mapleprimes.com/posts/87683-MRB-Constant-K
http://www.mapleprimes.com/posts/89030-MRB-Constant-K-Part-2
http://www.mapleprimes.com/posts/89682-MRB-Constant-L
http://www.mapleprimes.com/posts/94479-MRB-Constant-M
http://www.mapleprimes.com/posts/98991-MRB-Constant-N
http://www.mapleprimes.com/posts/99773-MRB-Constant-N-Part-2
http://www.mapleprimes.com/posts/101323-MRB-Constant-O
http://www.mapleprimes.com/posts/125427-MRB-Constant-P
http://www.mapleprimes.com/posts/128614-MRB-Constant-Q
http://www.mapleprimes.com/posts/129265-MRB-Constant-R
http://www.mapleprimes.com/posts/129276-MRB-Constant-S
http://www.mapleprimes.com/posts/129449-MRB-Constant-S-Part-2
http://www.mapleprimes.com/posts/129624-MRB-Constant-T

http://www.mapleprimes.com/posts/101425-Could-The-MRB-Constant-Be-Rational
http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA
http://www.mapleprimes.com/posts/102794-MRB-Constant-RationalB
http://www.mapleprimes.com/posts/95240-Computing-Digits-Of-The-MRB-Constant

Study its integral analog here.
Look at its normality in some bases here.

Look at it as an integer sequence here.

Read its first description here.