  The information technology explosion has dramatically increased the
application of new mathematical ideas and has led to an increasing use of
mathematics across a wide range of fields that have been traditionally labeled
"pure" or "theoretical". There is a critical need for tools to make these
concepts readily accessible to a broader community. This paper details the
creation of visual representations of mathematical structures commonly found in
pure mathematics to enable both students and professionals to rapidly
understand the relationships among and between mathematical structures. Ten
broad mathematical structures were identified and used to make eleven maps,
with 187 unique structures in total. The paper presents a method and
implementation for categorizing mathematical structures and for drawing
relationship between mathematical structures that provides insight for a wide
audience. The most in depth map is available online for public use [1].
