The Holman lantern microscope

The Holman Research Pathway in radiation oncology.

A decade ago, the American Board of Radiology established a research pathway for residency training designed for individuals to simultaneously train in diagnostic radiology or radiation oncology and in basic science, clinical, or transitional investigation. This new pathway was called the ABR Holman Research Pathway, named for B. Leonard Holman, M.D., who first proposed this initiative to foste...

Applications of the Lantern Identity

The purpose of this note is to unify the role of the lantern identity in the proof of several finiteness theorems. In particular, we show that for every nonnegative integer m, the vector space (over the rationals) of type m (resp. T -type m) invariants of integral homology 3-spheres are finite dimensional. These results have already been obtained by [Oh] and [GL2] respectively; our derivation h...

A lantern lemma

We show that in the mapping class group of a surface any relation between Dehn twists of the form T j xT k y = M (M a multitwist) is the lantern relation, and any relation of the form (TxTy) k = M (where Tx commutes with M ) is the 2-chain relation. AMS Classification 57M07; 20F38, 57N05

The solemn lady with the lantern.

A Magic Lantern Data Projector

The Magic Lantern Data Projector allows a performer-participant to build sculptural glass forms that are projected, then algorithmically processed. The device re-envisions magic lantern slides as transparent, multifaceted three-dimensional glass boxes. The projected image is a palimpsest of coloured transparent glass forms (Figure 1). Servomotors position the boxes in front of a camera lens, wh...