Vertices |
Label |
Shape |
Symmetry |
|---|---|---|---|
2 |
L-2 |
Linear |
D∞h |
vT-2 |
Divacant tetrahedron (V-shape, 109.47°) |
C2v |
|
vOC-2 |
Tetravacant octahedron (L-shape, 90.00°) |
C2v |
|
3 |
TP-3 |
Trigonal planar |
D3h |
vT-3 |
Pyramidb (vacant tetrahedron) |
C3v |
|
fac-vOC-3 |
fac-Trivacant octahedron |
C3v |
|
mer-vOC-3 |
mer-Trivacant octahedron (T-shape) |
C2v |
|
4 |
SP-4 |
Square |
D4h |
T-4 |
Tetrahedron |
Td |
|
SS-4 |
Seesaw or sawhorseb (cis-divacant octahedron) |
C2v |
|
vTBPY-4 |
Axially vacant trigonal bipyramid |
C3v |
|
5 |
PP-5 |
Pentagon |
D5h |
vOC-5 |
Vacant octahedronb (Johnson square pyramid, J1) |
C4v |
|
TBPY-5 |
Trigonal bipyramid |
D3h |
|
SPY-5 |
Square pyramidc |
C4v |
|
JTBPY-5 |
Johnson trigonal bipyramid (J12) |
D3h |
|
6 |
HP-6 |
Hexagon |
D6h |
PPY-6 |
Pentagonal pyramid |
C5v |
|
OC-6 |
Octahedron |
Oh |
|
TPR-6 |
Trigonal prism |
D3h |
|
JPPY-6 |
Johnson pentagonal pyramid (J2) |
C5v |
|
7 |
HP-7 |
Heptagon |
D7h |
HPY-7 |
Hexagonal pyramid |
C6v |
|
PBPY-7 |
Pentagonal bipyramid |
D5h |
|
COC-7 |
Capped octahedrona |
C3v |
|
CTPR-7 |
Capped trigonal prisma |
C2v |
|
JPBPY-7 |
Johnson pentagonal bipyramid (J13) |
D5h |
|
JETPY-7 |
Elongated triangular pyramid (J7) |
C3v |
|
8 |
OP-8 |
Octagon |
D8h |
HPY-8 |
Heptagonal pyramid |
C7v |
|
HBPY-8 |
Hexagonal bipyramid |
D6h |
|
CU-8 |
Cube |
Oh |
|
SAPR-8 |
Square antiprism |
D4d |
|
TDD-8 |
Triangular dodecahedron |
D2d |
|
JGBF-8 |
Johnson - Gyrobifastigium (J26) |
D2d |
|
JETBPY-8 |
Johnson - Elongated triangular bipyramid (J14) |
D3h |
|
JBTP-8 |
Johnson - Biaugmented trigonal prism (J50) |
C2v |
|
BTPR-8 |
Biaugmented trigonal prism |
C2v |
|
JSD-8 |
Snub disphenoid (J84) |
D2d |
|
TT-8 |
Triakis tetrahedron |
Td |
|
ETBPY-8 |
Elongated trigonal bipyramid (see 8) |
D3h |
|
9 |
EP-9 |
Enneagon |
D9h |
OPY-9 |
Octagonal pyramid |
C8v |
|
HBPY-9 |
Heptagonal bipyramid |
D7h |
|
JTC-9 |
Triangular cupola (J3) = trivacant cuboctahedron |
C3v |
|
JCCU-9 |
Capped cube (Elongated square pyramid, J8) |
C4v |
|
CCU-9 |
Capped cube |
C4v |
|
JCSAPR-9 |
Capped sq. antiprism (Gyroelongated square pyramid J10) |
C4v |
|
CSAPR-9 |
Capped square antiprism |
C4v |
|
JTCTPR-9 |
Tricapped trigonal prism (J51) |
D3h |
|
TCTPR-9 |
Tricapped trigonal prism |
D3h |
|
JTDIC-9 |
Tridiminished icosahedron (J63) |
C3v |
|
HH-9 |
Hula-hoop |
C2v |
|
MFF-9 |
Muffin |
Cs |
|
10 |
DP-10 |
Decagon |
D10h |
EPY-10 |
Enneagonal pyramid |
C9v |
|
OBPY-10 |
Octagonal bipyramid |
D8h |
|
PPR-10 |
Pentagonal prism |
D5h |
|
PAPR-10 |
Pentagonal antiprism |
D5d |
|
JBCCU-10 |
Bicapped cube (Elongated square bipyramid J15) |
D4h |
|
JBCSAPR-10 |
Bicapped square antiprism (Gyroelongated square bipyramid J17) |
D4d |
|
JMBIC-10 |
Metabidiminished icosahedron (J62) |
C2v |
|
JATDI-10 |
Augmented tridiminished icosahedron (J64) |
C3v |
|
JSPC-10 |
Sphenocorona (J87) |
C2v |
|
SDD-10 |
Staggered dodecahedron (2:6:2)e |
D2 |
|
TD-10 |
Tetradecahedron (2:6:2) |
C2v |
|
HD-10 |
Hexadecahedron (2:6:2, or 1:4:4:1) |
D4h |
|
11 |
HP-11 |
Hendecagon |
D11h |
DPY-11 |
Decagonal pyramid |
C10v |
|
EBPY-11 |
Enneagonal bipyramid |
D9h |
|
JCPPR-11 |
Capped pent. Prism (Elongated pentagonal pyramid J9) |
C5v |
|
JCPAPR-11 |
Capped pent. antiprism (Gyroelongated pentagonal pyramid J11) |
C5v |
|
JaPPR-11 |
Augmented pentagonal prism (J52) |
C2v |
|
JASPC-11 |
Augmented sphenocorona (J87) |
Cs |
|
12 |
DP-12 |
Dodecagon |
D12h |
HPY-12 |
Hendecagonal pyramid |
C11v |
|
DBPY-12 |
Decagonal bipyramid |
D10h |
|
HPR-12 |
Hexagonal prism |
D6h |
|
HAPR-12 |
Hexagonal antiprism |
D6d |
|
TT-12 |
Truncated tetrahedron |
Td |
|
COC-12 |
Cuboctahedron |
Oh |
|
ACOC-12 |
Anticuboctahedron (Triangular orthobicupola J27) |
D3h |
|
IC-12 |
Icosahedron |
Ih |
|
JSC-12 |
Square cupola (J4) |
C4v |
|
JEPBPY-12 |
Elongated pentagonal bipyramid (J16) |
D6h |
|
JBAPPR-12 |
Biaugmented pentagonal prism (J53) |
C2v |
|
JSPMC-12 |
Sphenomegacorona (J88) |
Cs |
|
20 |
DD-20 |
Dodecahedrond |
Ih |
24 |
TCU-24 |
Truncated cube |
Oh |
TOC-24 |
Truncated octahedron |
Oh |
|
48 |
TCOC-48 |
Truncated cuboctahedron |
Oh |
60 |
TRIC-60 |
Truncated icosahedron (fullerene) |
Ih |
a Non regular polyhedron.
b A regular polyhedron with one or two vertices removed.
c Spherical distribution of vertices with mass center at the origin (apical-basal bond angles of 104.45°).
d For polyhedra with more than 12 vertices the calculation times may be unpractical, for now avoid this calculations
an upgrade is comming soon.
e This is a chiral polyhedron. It must be noticed that the algorithm used by Shape does not distinguish
the two enantiomers of a chiral shape. Therefore, whenever a chiral reference polyhedron is used, the resulting shape
measures may not refer to that specific polyhedron but to its enantiomer.