Tessellation of Concave Hexagons

Image

concave hexagon tessellation

Another Tessellation of Octagons

Posted on 3 February 2018 by RobertLovesPi

Several tessellations of octagons have been published in this space in the past. Here’s the latest in this occasional series.

another octagon tessellation

Floral Shield #2

Posted on 29 January 2018 by RobertLovesPi

Floral Shield 2

This is one of the aperiodic tilings made famous by Roger Penrose.

Conjoined Small Stellated Dodecahedral Triplets

Posted on 27 January 2018 by RobertLovesPi

The central small stellated dodecahedron is augmented on two opposite star-faces by additional small stellated dodecahedra.

Augmented Small Stellated Dodeca

I made this using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.

A Variant of the Icosidodecahedron Featuring Four Hexagons

Posted on 4 December 2017 by RobertLovesPi

tetrahedrally modified icosidodecahedron.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Variant of the Rhombicosidodecahedron Featuring Four Hexagons

Posted on 4 December 2017 by RobertLovesPi

Convex hull.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

Posted on 3 December 2017 by RobertLovesPi

20 at 5 and 60 at 5 and 20 at 6 and 60 at 7 242 faces mostly quads Convex hull b starball All quads 240 faces Augmented Disdyakistriaconta Convex hull with 12 reg icosagons decagons enneagons bowtie trapezoids stellated several times Dual of Convex hullashgdfasf dual of polyhedron with 12 pentadecagons Dual of Unnamed Dual Faceted Dodeca duAL OF FIRST STELLATION OF ICOSA Faceted ICOSIDodecaHEDRAL POLYHEDRON Stellated Convex hull 2 stellated Dual of Convex hullashgdfasf Stellated Poly 4 Stellated Poly 3.gif Zonohedrified Poly.gif Unnamed Dual nc.gif Zonohedrified Icosa.gif

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

Slowly Rotating Hypercube

Posted on 30 November 2017 by RobertLovesPi

4 Duoprism

The hypercube, also known as a tesseract, is the four-dimensional analog to the cube. I made this projection of a hypercube with Stella 4d, which is available at http://www.software3d.com/Stella.php.

Two Facetings of the Truncated Dodecahedron

Posted on 29 November 2017 by RobertLovesPi

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

A Faceted Truncated Icosahedron

Posted on 27 November 2017 by RobertLovesPi

Faceted truncated icosahedron

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.