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MICRODATA

WordEntityTypeCategoryWikidataFreq.Validate
Mathematical Mathematics Thing Mathematics Q395 3 %
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professional Professional Thing Business Q702269 3 %
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interests Interest Thing Finance and Banking Q170924 3 %
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Learn Learning Thing Education Q133500 3 %
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News News Thing Journalism Q38926 3 %
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Events Convention (meeting) Thing Business Q625994 3 %
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Notices Notices of the American Mathematical Society Organization Journalism Q24158 3 %
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AMS Aftermarket (merchandise) Thing Marketing and Advertising Q2072670 3 %
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John C. Baez - Person - - 3 %
<span itemscope itemtype="http://schema.org/Person">
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space Space Thing Sciences Q107 3 %
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dimensions Dimension Thing Sciences Q4440864 3 %
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Mathematics Research Community - Organization - - 8 %
<span itemscope itemtype="http://schema.org/Organization">
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MRC Media Rights Capital Corporation Finance and Banking Q2856187 3 %
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Data Computer network Thing Hi-Tech Q1301371 3 %
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University - Organization - - 5 %
<span itemscope itemtype="http://schema.org/Organization">
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Buffalo University at Buffalo, The State University of New York Organization Education Q681025 3 %
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University of South Alabama - Organization - - 3 %
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Mobile Mobile phone Thing Hi-Tech Q17517 3 %
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AL Alabama Thing Animal Q173 3 %
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Communications Telecommunication Thing Telecommunications Q418 3 %
<span itemscope itemtype="http://schema.org/Thing">
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Mathematics Research Communities - Organization - - 3 %
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Order Order (exchange) Thing Finance and Banking 3 %
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poster Poster Thing Visual Arts Q429785 3 %
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workplace Workplace Thing HR Management Q628858 3 %
<span itemscope itemtype="http://schema.org/Thing">
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Association - Organization - - 3 %
<span itemscope itemtype="http://schema.org/Organization">
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Charles Street Providence - Person - - 3 %
<span itemscope itemtype="http://schema.org/Person">
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Rhode Island United States Country - - 0 %
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services marks Service Thing Economy Q232576 3 %
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U.S. Patent United States Patent and Trademark Office Organization Technology Q1459541 3 %
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Trademark Office - Organization - - 3 %
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Online Internet Thing Hi-Tech Q75 3 %
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Rejected entities (see configuration)

Software: Applications (=> Application software)

Tablets and PC: Sep (=> Symantec Endpoint Protection)

: Pride (=> Pride)

TEXT

American Mathematical<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">Mathematical</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Mathematics" />
</span>
Society :: Homepage<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">Homepage</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Home_page" />
</span>

American Mathematical Society :: Homepage

The American Mathematical Society is an association of professional<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">professional</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Professional" />
</span>
mathematicians dedicated to the interests<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">interests</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Interest" />
</span>
of mathematical research and scholarship, and serves the national and international community through its publications, meetings<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">meetings</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Meeting" />
</span>
, advocacy and ot

Advancing Research. Creating Connections.

The American Mathematical Society is dedicated to advancing research and<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">research and</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Research" />
</span>
connecting the diverse global mathematical community through publications, meetings and conferences, MathSciNet<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">MathSciNet</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Mathematical_Reviews" />
</span>
, professional services, advocacy, and awareness<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">awareness</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Brand_awareness" />
</span>
programs.

Learn more and join »

From Notices<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">Notices</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Notices_of_the_American_Mathematical_Society" />
</span>
of the AMS<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">AMS</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Aftermarket_(merchandise)" />
</span>

The Icosidodecahedron

by John C. Baez

The icosidodecahedron can be built by truncating either a regular icosahedron or a regular dodecahedron. It has 30 vertices, one at the center of each edge of the icosahedron---or equivalently, one at the center of each edge of a dodecahedron. It is a beautiful, highly symmetrical shape.

But the icosidodecahedron is just a shadow of a more symmetrical shape with twice as many vertices, which lives in a space<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">space</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Space" />
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with twice as many dimensions<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">dimensions</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Dimension" />
</span>
! Namely, it is a projection down to 3-dimensional space of a 6-dimensional polytope with 60 vertices. Even better, it is also a slice of a still more symmetrical 4-dimensional polytope with 120 vertices, which in turn is the projection down to 4-dimensional space of a even more symmetrical 8-dimensional polytope with 240 vertices. Note how the numbers keep doubling: 30, 60, 120, and 240.

To understand all this, start with the group of rotational symmetries of the icosahedron. This is a 60-element subgroup of the rotation group SO(3).

News from the AMS

More Feature Stories »

May 28 -Jun 3, 2023

Mathematics Research Community (MRC) Week 1

Ricci Curvatures of Graphs and Applications to Data<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">Data</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Computer_network" />
</span>
Science

Mathematics Research Community (MRC) Week 2

2a: Explicit Computations with Stacks; 2b: Derived Categories, Arithmetic and Geometry

Mathematics Research Community (MRC) Week 3

Complex Social Systems

2023 Fall Eastern Sectional

University<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">University</span>
</span>
of Buffalo<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">Buffalo</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/University_at_Buffalo,_The_State_University_of_New_York" />
</span>
(SUNY), Buffalo, NY

2023 Fall Central Sectional

Creighton University<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">University</span>
</span>
, Omaha, NE

2023 Fall Southeastern Sectional

University of South Alabama<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">University of South Alabama</span>
</span>
, Mobile<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">Mobile</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Mobile_phone" />
</span>
, AL<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">AL</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Alabama" />
</span>

AMS Prize & Award Nominations

2023 Fall Eastern Sectional Abstract Submissions

2023 Fall Central Sectional Abstract Submissions

2023 Fall Southeastern Sectional Abstract Submissions

AMS Prize & Award Nominations

JPBM Communications<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">Communications</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Telecommunication" />
</span>
Award

2025 Mathematics Research Communities (MRC) Organizers

Submit expressions of interest in organizing a 2025 MRC by Sep 30, 2023. Complete proposals due November 30 .

Free AMS Posters

Celebrate LGBTQ+ Pride all year long ! Order a free poster for your home, classroom, or other workplace<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">workplace</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Workplace" />
</span>
. Co-sponsored with Spectra, The Association<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">Association</span>
</span>
for LGBTQ+ Mathematicians.

201 Charles Street Providence, Rhode Island 02904-2213

AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks<span itemscope itemtype="http://schema.org/Thing">
        <span itemprop="name">services marks</span>
        <link itemprop="sameAs" href="https://en.wikipedia.org/wiki/Service" />
</span>
of the American Mathematical Society and registered in the U.S. Patent<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">U.S. Patent</span>
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</span>
and Trademark Office<span itemscope itemtype="http://schema.org/Organization">
        <span itemprop="name">Trademark Office</span>
</span>
.

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