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My 2024 US Presidential Election Prediction

I predict a narrow electoral victory for Joe Biden, with a wider popular majority. I made this map on the website http://www.270towin.com. It’s free.

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#2024 #Biden #election #politics #POTUS #president #presidential #Trump

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Icosagonal Prism Variant

I made this using Stella 4d, which you can try for free right here; http://www.software3d.com/Stella.php.

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#geometry #Mathematics #polyhedra #polyhedron

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Another Faceting of the Truncated Octahedron

This particular faceting is made of six square faces, and eight {6/2} hexagons. Here it is again, in rainbow color mode: I made these models using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

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#geometry #Mathematics #polyhedra #polyhedron

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A Faceted Truncated Octahedron

I made this faceted truncated octahedron using Stella 4d, which you can try right here. It has twenty faces: six large squares, six small squares, and eight {6/2} hexagons.

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#geometry #Mathematics #polyhedra #polyhedron

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A Compound of the Small and Great Stellated Dodecahedra

I made these compounds using Stella 4d, which you can try for free at this website.

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#compound #geometry #great #Mathematics #polyhedra #polyhedral #polyhedron #small #stellated dodecahedron

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A Symmetrohedron with 62 Faces

In this solid, the quadrilaterals are all squares, and the red triangles are regular. The only irregular polygons are the dark blue triangles, which are obtuse and isosceles. I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

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#geometry #Mathematics #polyhedra #polyhedron #symmetrohedra #symmetrohedron

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Mandala Based On 45

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#geometry #mandala #Mathematics

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A 56-Pointed Star to Mark the Occasion of Turning 56 Years Old

I’ve been making and blogging these birthday stars for well over a decade, and see no reason to stop any time soon. This one is made of four {7/3} heptagrams, shown in blue, with four {7/2} heptagrams shown in yellow. The area of intersection of these two types of star polygon is shown in green. This works to yield a 56-pointed star because (7)(4) + (7)(4) = 28 + 28 = 56.

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#56 #Art #birthday #fifty-six #geometric #geometrical #geometrical art #geometry #mathematical #Mathematics #star

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Happy Beethoven's Birthday!

#Happy #Beethoven's #Birthday!

Happy Ludvig Beethoven’s Birthday! For those keeping track, it’s his 253rd. A good way to celebrate is to listen to one or more of his symphonies, and I’ve chosen the Ninth, as performed by the London Symphony Orchestra. Charles Schulz’s Peanuts provided my earliest education regarding Beethoven. Here are some samples of this work.

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#Youtube

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(2)(7) = 14

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#Art #geometric #geometrical #geometry #mandala #mathematical #Mathematics

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A Tessellation of Squares, 30-60-90 Triangles, and Obtuse, Scalene Triangles

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#geometry #Mathematics #tessellation

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Clusters of Polyhedra Surrounding a Dodecahedron

The cluster below is formed by augmenting each face of the dodecahedron above with an icosidodecahedron. Next, each triangular face is augmented with an icosahedron. Now every pentagonal face is augmented with a dodecahedron. Finally, the pentagonal faces of this cluster of polyhedra are augmented with icosidodecahedra. I did all of this using Stella 4d: Polyhedron Navigator. You can try this…

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#cluster #geometry #Mathematics #polyhedra #polyhedral #polyhedron

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Many Rhombi, Many Hexagons

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#Art #geometric #geometrical #geometry #mathematical #Mathematics

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Rhombi, Double Rhombi, and Triple Rhombi

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#Art #geometric #geometrical #geometry #mathematical #Mathematics

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An Augmented Icosidodecahedron

You can’t see the icosidodecahedron here, for it is hidden in the center. Each of its triangular faces is augmented with an icosahedron, and each of its pentagonal faces is augmented with a dodecahedron. Software credit: see http://www.software3d.com/stella.php (free trial download available).

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#dodecahedron #geometry #icosahedron #icosidodecahedron #Mathematics #polyhedra #polyhedron

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A Zonohedron Based on the Faces, Edges, and Vertices of a Truncated Tetrahedron, as Well as Its Two-Fold Symmetry Axes, Its Three-Fold Symmetry Axes, and its XYZ Axes

I made this polyhedron, which has 170 faces, using Stella 4d: Polyhedron Navigator. You may try this program, for free, at http://www.software3d.com/Stella.php.

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#geometry #Mathematics #polyhedra #polyhedron #zonohedra #zonohedron

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A Zonohedron Based on the Faces, Edges, and Vertices of a Truncated Tetrahedron

I made this model using Stella 4d, which you can try for free at this website.

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#geometry #Mathematics #polyhedra #polyhedron #zonohedra #zonohedron