What translation adds — SymmeTry

What translation addsThe 2₁ axis: rotate 180° about b, then slide half a cell along it. Step 17 of 18 of the symmetry tutorial, worked in a live 3D view.Molecular point groups with their operations and character tables, the 230 space groups with a cell builder, and the 17 wallpaper and 7 frieze groups drawn live. The tool needs JavaScript, and WebGL2 for the 3D views; these are the pages it offers:

Molecules — the point group of a molecule, in 3D

Crystals — build a cell in any of the 230 space groups

Plane — name the symmetry of a repeating pattern

Tutorial — from a mirror plane to a space group

Exercises — checked, with hints and an answer

Cheatsheet — printable, one page

Point groups — operations, order and character table

Space groups — all 230, by number and symbol

Wallpaper groups — the seventeen, drawn

Frieze groups — the seven, drawn

About — what it computes, and what it borrows

Our other tools

learn.cheminfo.org

inchi.cheminfo.org

vcl.cheminfo.org

smiles.cheminfo.org

iupac-name.cheminfo.org

openbabel.cheminfo.org

www.chemcalc.org

dbe.cheminfo.org

metabo.nmrium.com

derepflow.cheminfo.org

isomers.cheminfo.org

tex.cheminfo.org

lcao.cheminfo.org

regexp.cheminfo.org

pdb.cheminfo.org

elucidation.cheminfo.org

spectroscopy.cheminfo.org

equilibrium.cheminfo.org

polycarp.cheminfo.org

3d.cheminfo.org

periodic-table.cheminfo.org

database.cheminfo.org

osiris.cheminfo.org

atoms.cheminfo.org

moles.cheminfo.org

inorganic.cheminfo.org

slides.cheminfo.org

vibrations.cheminfo.org

draw.cheminfo.org