Unpublished paper, 'Memoir on "Undevelopable Uniquadric Homographics"' by Martin Gardiner In this paper Gardiner's method of investigation is purely geometrical throughout, its arrangement of details is systematic and natural, and it is divided into eight chapters, the first seven of which are preparatory to the consideration of the interesting problem discussed at length in the eighth, the direct, general, and complete solution of which is claimed to be given in it for the first time. Marked on front as 'Archives July 2 1868'. Subject: Mathematics Received 13 April 1868. Communicated by [Richard] Townsend. Written by Gardiner in Newcastle, New South Wales, Australia. Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 16 of the Proceedings of the Royal Society as 'Memoir on "Undevelopable Uniquadric Homographics"'. 7 June 1867