Acronym ebot
Name elongated bowtie tegum
VRML
 
Circumradius 1
Vertex figures [3,6,3/2,6/5], [3,4,6]
Dihedral angles
  • between {3} and {4}:   arccos[-1/sqrt(3)] = 125.264390°
  • between {3} and {6}:   arccos(1/3) = 70.528779°
  • between {4} and {6}:   arccos[1/sqrt(3)] = 54.735610°
Face vector 10, 16, 8
Confer
uniform relative:
co  
External
links
hedrondude   polytopewiki

Ebot is an edge-faceting of co, in fact it obtains all its triangles and squares from there and adds two of that's equatorial hexagons.


Incidence matrix according to Dynkin symbol

xux xo(-x)&#xt   → both heights = 1/sqrt(2) = 0.707107
({4} || u-line || inv {4})

o.. o.  .      | 4 * * | 1 1 1 0 0 0 | 1 1 1 0 0  [3,4,6]
.o. .o  .      | * 2 * | 0 0 2 2 0 0 | 0 2 1 1 0  [3,6,3/2,6/5]
..o ..  o      | * * 4 | 0 0 0 1 1 1 | 0 1 0 1 1  [3,4,6]
---------------+-------+-------------+----------
x.. ..  .      | 2 0 0 | 2 * * * * * | 1 1 0 0 0
... x.  .      | 2 0 0 | * 2 * * * * | 1 0 1 0 0
oo. oo  . &#x  | 1 1 0 | * * 4 * * * | 0 1 1 0 0
.oo .o  o &#x  | 0 1 1 | * * * 4 * * | 0 1 0 1 0
..x ..  .      | 0 0 2 | * * * * 2 * | 0 1 0 0 1
... ..(-x)     | 0 0 2 | * * * * * 2 | 0 0 0 1 1
---------------+-------+-------------+----------
x.. x.  .      | 4 0 0 | 2 2 0 0 0 0 | 1 * * * *
xux ..  . &#xt | 2 2 2 | 1 0 2 2 1 0 | * 2 * * *
... xo  . &#x  | 2 1 0 | 0 1 2 0 0 0 | * * 2 * *
... .o(-x)&#x  | 0 1 2 | 0 0 0 2 0 1 | * * * 2 *
..x ..(-x)     | 0 0 4 | 0 0 0 0 2 2 | * * * * 1
or
o.. o.  .      & | 8 * | 1 1 1 | 1 1 1  [3,4,6]
.o. .o  .        | * 2 | 0 0 4 | 0 2 2  [3,6,3/2,6/5]
-----------------+-----+-------+------
x.. ..  .      & | 2 0 | 4 * * | 1 1 0
... x.  .      & | 2 0 | * 4 * | 1 0 1
oo. oo  . &#x  & | 1 1 | * * 8 | 0 1 1
-----------------+-----+-------+------
x.. x.  .      & | 4 0 | 2 2 0 | 2 * *
xux ..  . &#xt   | 4 2 | 2 0 4 | * 2 *
... xo  . &#x  & | 2 1 | 0 1 2 | * * 4

© 2004-2026
top of page