Springer Nature
Advances in Applied Clifford Algebras
,  volume 27 ,  issue 3 ,  pages 2175-2199

Double Conformal Geometric Algebra

Robert Benjamin Easter 1
, 
Eckhard Hitzer 2
1
 
Bangkok, Thailand | 
2
 
Publication type: Journal Article
Publication date: 2017-04-20
Springer Nature
scimago Q2
wos Q2
SJR: 0.636
CiteScore: 2.5
Impact factor: 1.2
ISSN: 01887009, 16614909
Applied Mathematics
Abstract
This paper introduces the Double Conformal/Darboux Cyclide Geometric Algebra (DCGA), based in the $$\mathcal {G}_{8, 2}$$ Clifford geometric algebra. DCGA is an extension of CGA and has entities representing points and general (quartic) Darboux cyclide surfaces in Euclidean 3D space, including circular tori and all quadrics, and all surfaces formed by their inversions in spheres. Dupin cyclides are quartic surfaces formed by inversions in spheres of torus, cylinder, and cone surfaces. Parabolic cyclides are cubic surfaces formed by inversions in spheres that are centered on points of other surfaces. All DCGA entities can be transformed by versors, and reflected in spheres and planes.
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GOST Copy
Easter R. B., Hitzer E. Double Conformal Geometric Algebra // Advances in Applied Clifford Algebras. 2017. Vol. 27. No. 3. pp. 2175-2199.
GOST all authors (up to 50) Copy
Easter R. B., Hitzer E. Double Conformal Geometric Algebra // Advances in Applied Clifford Algebras. 2017. Vol. 27. No. 3. pp. 2175-2199.
RIS |
Cite this
RIS Copy
TY - JOUR
DO - 10.1007/s00006-017-0784-0
UR - https://doi.org/10.1007/s00006-017-0784-0
TI - Double Conformal Geometric Algebra
T2 - Advances in Applied Clifford Algebras
AU - Easter, Robert Benjamin
AU - Hitzer, Eckhard
PY - 2017
DA - 2017/04/20
PB - Springer Nature
SP - 2175-2199
IS - 3
VL - 27
SN - 0188-7009
SN - 1661-4909
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2017_Easter,
author = {Robert Benjamin Easter and Eckhard Hitzer},
title = {Double Conformal Geometric Algebra},
journal = {Advances in Applied Clifford Algebras},
year = {2017},
volume = {27},
publisher = {Springer Nature},
month = {apr},
url = {https://doi.org/10.1007/s00006-017-0784-0},
number = {3},
pages = {2175--2199},
doi = {10.1007/s00006-017-0784-0}
}
MLA
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MLA Copy
Easter, Robert Benjamin, and Eckhard Hitzer. “Double Conformal Geometric Algebra.” Advances in Applied Clifford Algebras, vol. 27, no. 3, Apr. 2017, pp. 2175-2199. https://doi.org/10.1007/s00006-017-0784-0.