Acronym
| retic (alt.: amtic) |

Name
| rectified/ambiated truncated cube |

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Circumradius
| 2+sqrt(2) = 3.414214 |

Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices
at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists).
Within the specific case of tic as a pre-image these intersection points might differ on its 2 edge types.
Therefore tic *cannot* be rectified (within this stronger sense).
Nonetheless the Conway operator of **ambification** (chosing the former edge centers generally) clearly is applicable.
This would result in 2 different edge sizes in the outcome polyhedron. That one here is scaled such so that the shorter one becomes unity.
Then the larger edge will have size k = sqrt[2+sqrt(2)] = 1.847759.

Incidence matrix according to Dynkin symbol

xo3oK4Ko&#zk → height = 0 K = kk = 2+sqrt(2) = 3.414214 (pseudo) k = x(8,2) = sqrt[2+sqrt(2)] = 1.847759 (tegum sum of (x,K)-sirco and K-co) o.3o.4o. | 24 * | 2 2 | 1 2 1 .o3.o4.o | * 12 | 0 4 | 0 2 2 -------------+-------+-------+------- x. .. .. | 2 0 | 24 * | 1 1 0 oo3oo4oo&#k | 1 1 | * 48 | 0 1 1 -------------+-------+-------+------- x.3o. .. | 3 0 | 3 0 | 8 * * x-{3} xo .. ..&#k | 2 1 | 1 2 | * 24 * xkk .. oK4Ko&#zk | 4 4 | 0 8 | * * 6 k-{8}

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