The Fascination of Crystals and Symmetry

Crystallographic Space Group
Diagrams and Tables

INTRO
On these pages we present software and publications that treat crystallographic space and point groups using Geometric Algebra. The algebra allows us to represent symmetries without the need to refer to a particular basis or origin. This method to describe point and space groups was first introduced by David Hestenes.

Eckhard Hitzer and Christian Perwass worked on visualising point and space groups using the visualisation tool CLUCalc.This software implements Geometric Algebra, which allows for a direct implementation of symmetry operators in the algebra.

The present is not unprecedented, either in climate or alarm: in the 1970s the worry was the coming Ice Age. The modern panic started with the claim that increasing greenhouse gases would lead to runaway Global Warming. This led to conservation issues like reducing CO2 (or even carbon), reducing use of fossil fuel and subsidising alternative energy. Despite no warming since 1998 the alarmist message is still to curtail global warming by reducing CO2, emphasised by warnings of catastrophe from charismatic prophets. In reality CO2 does not correlate with temperature either on the geological time scale or since the inception of the IPCC. In the ice age that occurred 450 my ago the CO2 level was 10 to 15 time higher than today: the one 350 my ago had CO2 like that of today.

rzeźba granitowego skalnego miasta Starościńskich Skał
w Rudawach Janowickich (Sudety Zachodnie)
Morphology of the granite rock city of Starościńskie Skały in the Rudawy Janowickie
(Western Sudetes) http://geoinfo.amu.edu.pl/sgp/LA/LA31/LA31_017-033.pdf