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Avenues for Polyhedral Research
Avenues for Polyhedral Research by Magnus J. Wenninger In the epilogue of my book Polyhedron Models I alluded Topologie Structurale #5, 1980 Structural Topology #5,1980 to an avenue for polyhedral research along which I myself have continued to journey, involving Ar- chimedean stellations and duals (Wenninger 1971). By way of introduction to what follows here it may be noted that the five regular convex polyhedra belong to a larger set known as uniform’ polyhedra. Their stellated forms are derived from the process of extending their R&urn6 facial planes while preserving symmetry. In particular the tetrahedron and the hexahedron have no stellated forms. The octahedron has one, the dodecahedron Cet article est le sommaire d’une etude et de three and the icosahedron a total of fifty eight (Coxeter recherches faites par I’auteur depuis une dizaine 1951). The octahedral stellation is a compound of two d’annees, impliquant les polyedres archimediens Abstract tetrahedra, classified as a uniform compound. The &oil& et les duals. La presentation en est faite a three dodecahedral stellations are non-convex regular partir d’un passe historique, et les travaux This article is a summary of investigations and solids and belong to the set of uniform polyhedra. Only d’auteurs recents sont brievement rappel& pour study done by the author over the past ten years, one icosahedral stellation is a non-convex regular la place importante qu’ils occupent dans I’etude involving Archimedean stellations and duals. The polyhedron and hence also a uniform polyhedron, but des formes polyedriques. L’auteur enonce une presentation is set into its historical background, several other icosahedral stellations are uniform com- regle &n&ale par laquelle on peut t,rouver un and the works of recent authors are briefly sket- pounds, namely the compound of five octahedra, five dual a partir de n’importe quel polyedre uniforme ched for their place in the continuing study of tetrahedra and ten tetrahedra. -
Framing Cyclic Revolutionary Emergence of Opposing Symbols of Identity Eppur Si Muove: Biomimetic Embedding of N-Tuple Helices in Spherical Polyhedra - /
Alternative view of segmented documents via Kairos 23 October 2017 | Draft Framing Cyclic Revolutionary Emergence of Opposing Symbols of Identity Eppur si muove: Biomimetic embedding of N-tuple helices in spherical polyhedra - / - Introduction Symbolic stars vs Strategic pillars; Polyhedra vs Helices; Logic vs Comprehension? Dynamic bonding patterns in n-tuple helices engendering n-fold rotating symbols Embedding the triple helix in a spherical octahedron Embedding the quadruple helix in a spherical cube Embedding the quintuple helix in a spherical dodecahedron and a Pentagramma Mirificum Embedding six-fold, eight-fold and ten-fold helices in appropriately encircled polyhedra Embedding twelve-fold, eleven-fold, nine-fold and seven-fold helices in appropriately encircled polyhedra Neglected recognition of logical patterns -- especially of opposition Dynamic relationship between polyhedra engendered by circles -- variously implying forms of unity Symbol rotation as dynamic essential to engaging with value-inversion References Introduction The contrast to the geocentric model of the solar system was framed by the Italian mathematician, physicist and philosopher Galileo Galilei (1564-1642). His much-cited phrase, " And yet it moves" (E pur si muove or Eppur si muove) was allegedly pronounced in 1633 when he was forced to recant his claims that the Earth moves around the immovable Sun rather than the converse -- known as the Galileo affair. Such a shift in perspective might usefully inspire the recognition that the stasis attributed so widely to logos and other much-valued cultural and heraldic symbols obscures the manner in which they imply a fundamental cognitive dynamic. Cultural symbols fundamental to the identity of a group might then be understood as variously moving and transforming in ways which currently elude comprehension. -
THE GLOBAL DIAMOND INDUSTRY Lifting the Veil of Mystery This Work Was Commissioned by AWDC and Prepared by Bain
THE GLOBAL DIAMOND INDUSTRY Lifting the Veil of Mystery This work was commissioned by AWDC and prepared by Bain. This work is based on secondary market research, analysis of financial informa- tion available or provided to Bain & Company and AWDC, and a range of interviews with customers, competitors and industry experts. Bain & Company and AWDC have not independently verified this information and make no representation or warranty, express or implied, that such information is accurate or complete. Projected market and financial information, analyses and conclusions contained herein are based (unless sourced otherwise) on the information described above and on Bain & Company’s and AWDC’s judgment, and should not be construed as definitive forecasts or guarantees of future performance or results. Neither Bain & Company nor AWDC nor any of their subsidiaries or their re- spective officers, directors, shareholders, employees or agents accept any responsibility or liability with respect to this document. This document is copyright Bain & Company, Inc. and AWDC and may not be published, copied or duplicated, in whole or in part, without the written permis- sion of Bain and AWDC. Copyright © 2011 Bain & Company, Inc. and Antwerp World Diamond Centre private foundation (AWDC) All rights reserved Diamond Industry Report 2011 | Bain & Company, Inc. Contents Note to readers..................................................................................................1 1. Introduction to diamonds.....................................................................................3 -
THE CUTTING PROPERTIES of KUNZITE by John L
THE CUTTING PROPERTIES OF KUNZITE By John L. Ramsey In the process of cutting l~unzite,a lapidary comes THE PROBLEMS OF PERFECT CLEAVAGE face-to-face with problem properties that sometimes AND RESISTANCE' TO ABRASION remain hidden from the jeweler. By way of ex- amining these problems, we present the example of Kunzite is a variety of spodumene, a lithium alu- a one-kilo kunzite crystal being cut. The cutting minum silicate (see box). Those readers who are problems shown give ample warning to the jeweler familiar with either cutting or mounting stones to take care in working with kunzite and dem- in jewelry are aware of the problems that spodu- onstrate the necessity of cautioning customers to mene, in this case kunzite, invariably poses. For avoid shocking the stone when they wear it in those unfamiliar, it is important to note that kun- jewelry. zite has two distinct cleavages. Perfect cleavage in a stone means that splitting, when it occurs, tends to produce plane surfaces. Cleavage in two directions means that the splitting can occur in The difficulties inherent in faceting lzunzite are a plane along either of two directions in the crys- legendary to the lapidary. Yet the special cutting tal. The property of cleavage, while not desirable problems of this stone also provide an important in a gemstone, does not in and of itself mean trou- perspective for the jeweler. The cutting process ble. For instance, diamond tends to cleave but reveals all of the stone's intrinsic mineralogical splits with such difficulty that diamonds are cut, problems to anyone who works with it, whether mounted, and worn with little trepidation. -
Simultaneous Diamond, White Sapphire & Moissanite
SIMULTANEOUS DIAMOND, WHITE SAPPHIRE & MOISSANITE TESTER NEW ADVANCED EXCLUSIVE TECHNOLOGY RECOMMENDED by CHARLES & COLVARD CREATED MOISSANITE READ BEFORE USING The new moissanite that was introduced in late 2015 has changed. It can no longer be easily visually identified. It is now D-E-F “colorless”, with few inclusions. More importantly, standard diamond/moissanite testers will identify it as diamond since it is now only very slightly electrically conductive. The UltraTester 3+ uses new technology and is calibrated to identify this faint property. Be aware that body oil is also electrically conductive. Due to the tester’s enhanced sensitivity, dirty diamonds may test as moissanite. To avoid false/positive readings on dirty diamonds, ALWAYS CLEAN THE STONE on a cloth prior to testing. Periodically, also clean any accumulated body oil off of the probe tip by gently rubbing it on uncoated paper - SEE MANUAL. NEED HELP? Call GemOro at 800.527.0719 for immediate assistance. The GemOro UltraTester 3+ is the ultimate tester for diamond fraud protection that’s exclusively RECOMMENDED BY CHARLES & COLVARD, the manufacturer of created moissanite! The UltraTester 3+ features NEW ADVANCED EXCLUSIVE TECHNOLOGY capable of identifying the widest range of the electrically conductive moissanite material available, including the new super-low electrically conductive moissanite. OPERATING PROCEDURE & OWNERS MANUAL Congratulations on your purchase of the UltraTester 3+ from GemOro Superior GEMORO ULTRATESTER 3+ 2 Instruments, the most trusted name in gemological instrumentation for the jewelry industry. You’ve made a great choice. Built upon the foundation of the second generation and most popular tester to date, the UltraTester 3+ offers even more. -
Blue Sapphire Engagement Ring, RG-2817U Dramatic Color And
Blue Sapphire Engagement Ring, RG-2817u Dramatic color and unusual elegance come together in this vintage style blue sapphire engagement ring. The 18k white gold band of this engagement ring is set along the shoulders and shank with a collection of seventy-four round brilliant cut diamonds that total 0.52 carats. Eight of these diamonds, four on each side, are arranged in a floral design. The diamond flowers flank a bewitching blue sapphire at the center. This is a vintage style (new) blue sapphire engagement ring. Options None Item # rg2817u Metal 18k white gold Weight in grams 4.6 Special characteristics A matching band is available and may be purchased separately. Please see item RG-2817wb. Condition New Diamond cut or shape round brilliant Diamond carat weight 0.52 Diamond mm measurements 1.4-0.9 Diamond color G-H Diamond clarity VS1 Diamond # of stones 74 Gemstone name Natural Corundum (sapphire) Gemstone cut or shape round faceted mixed cut Gemstone carat weight 1.05 Gemstone type Type II Gemstone clarity VS Gemstone hue very very slightly greenish blue Gemstone tone 4-Medium Light Gemstone saturation 4-Moderately Strong Gemstone # of stones 1 Top of ring length (N-S) 6.75 mm [0.26 in] Width of shank at shoulders 4.85 mm [0.19 in] Width of shank at base 2.25 mm [0.09 in] Ring height above finger 6.9 mm [0.27 in] Other ring info For new rings like this one, the gram weight, diamond and gemstone carat weights, color, and clarity, as well as other jewelry details, may vary from the specifications shown on this page, but are similar in quality. -
The Journal of Gemmology Editor: Dr R.R
he Journa TGemmolog Volume 25 No. 8 October 1997 The Gemmological Association and Gem Testing Laboratory of Great Britain Gemmological Association and Gem Testing Laboratory of Great Britain 27 Greville Street, London Eel N SSU Tel: 0171 404 1134 Fax: 0171 404 8843 e-mail: [email protected] Website: www.gagtl.ac.uklgagtl President: Professor R.A. Howie Vice-Presidents: LM. Bruton, Af'. ram, D.C. Kent, R.K. Mitchell Honorary Fellows: R.A. Howie, R.T. Liddicoat Inr, K. Nassau Honorary Life Members: D.). Callaghan, LA. lobbins, H. Tillander Council of Management: C.R. Cavey, T.]. Davidson, N.W. Decks, R.R. Harding, I. Thomson, V.P. Watson Members' Council: Aj. Allnutt, P. Dwyer-Hickey, R. fuller, l. Greatwood. B. jackson, J. Kessler, j. Monnickendam, L. Music, l.B. Nelson, P.G. Read, R. Shepherd, C.H. VVinter Branch Chairmen: Midlands - C.M. Green, North West - I. Knight, Scottish - B. jackson Examiners: A.j. Allnutt, M.Sc., Ph.D., leA, S.M. Anderson, B.Se. (Hons), I-CA, L. Bartlett, 13.Se, .'vI.phil., I-G/\' DCi\, E.M. Bruton, FGA, DC/\, c.~. Cavey, FGA, S. Coelho, B.Se, I-G,\' DGt\, Prof. A.T. Collins, B.Sc, Ph.D, A.G. Good, FGA, f1GA, Cj.E. Halt B.Sc. (Hons), FGr\, G.M. Howe, FG,'\, oo-, G.H. jones, B.Se, PhD., FCA, M. Newton, B.Se, D.PhiL, H.L. Plumb, B.Sc., ICA, DCA, R.D. Ross, B.5e, I-GA, DGA, P..A.. Sadler, 13.5c., IGA, DCA, E. Stern, I'GA, DC/\, Prof. I. -
Evaluation of Brilliance, Fire, and Scintillation in Round Brilliant
Optical Engineering 46͑9͒, 093604 ͑September 2007͒ Evaluation of brilliance, fire, and scintillation in round brilliant gemstones Jose Sasian, FELLOW SPIE Abstract. We discuss several illumination effects in gemstones and University of Arizona present maps to evaluate them. The matrices and tilt views of these College of Optical Sciences maps permit one to find the stones that perform best in terms of illumi- 1630 East University Boulevard nation properties. By using the concepts of the main cutter’s line, and the Tucson, Arizona 85721 anti-cutter’s line, the problem of finding the best stones is reduced by E-mail: [email protected] one dimension in the cutter’s space. For the first time it is clearly shown why the Tolkowsky cut, and other cuts adjacent to it along the main cutter’s line, is one of the best round brilliant cuts. The maps we intro- Jason Quick duce are a valuable educational tool, provide a basis for gemstone grad- Jacob Sheffield ing, and are useful in the jewelry industry to assess gemstone American Gem Society Laboratories performance. © 2007 Society of Photo-Optical Instrumentation Engineers. 8917 West Sahara Avenue ͓DOI: 10.1117/1.2769018͔ Las Vegas, Nevada 89117 Subject terms: gemstone evaluation; gemstone grading; gemstone brilliance; gemstone fire; gemstone scintillation; gemstone cuts; round brilliant; gemstones; diamond cuts; diamonds. James Caudill American Gem Society Advanced Instruments Paper 060668R received Aug. 28, 2006; revised manuscript received Feb. 16, 8881 West Sahara Avenue 2007; accepted for publication Apr. 10, 2007; published online Oct. 1, 2007. Las Vegas, Nevada 89117 Peter Yantzer American Gem Society Laboratories 8917 West Sahara Avenue Las Vegas, Nevada 89117 1 Introduction are refracted out of the stone. -
Mineral of the Month Club May 2017
Mineral of the Month Club May 2017 BERYL var. GOSHENITE This month’s featured mineral is goshenite, the colorless variety of beryl, or beryllium aluminum silicate, from the pegmatites of Namibia. Our write-up explains the mineralogy, history, and lore of goshenite, and discusses the many colored-gem varieties of beryl. OVERVIEW PHYSICAL PROPERTIES: Chemistry: Be3Al2Si6O18 Beryllium Aluminum Silicate Class: Silicates Subclass: Cyclosilicates (Ring Silicates) Group: Beryl Crystal System: Hexagonal Crystal Habits: Usually as hexagonal (six-sided) prisms, often with flat or modified-flat terminations; also massive and compact. Color: Beryl can be colorless or white to blue, green, yellow, pink, and red; goshenite crystals are colorless; massive forms are white. Luster: Vitreous Transparency: Goshenite crystals are usually transparent to translucent; massive forms are translucent to opaque. Streak: Colorless to white Cleavage: Poor in one direction Fracture and Tenacity: Uneven to conchoidal; brittle. Hardness: 7.5-8.0 Specific Gravity: 2.66-2.92 Luminescence: None Refractive Index: 1.577-1.583 Distinctive Features and Tests: Best field marks for goshenite are hardness; six-sided prisms with flat or modified-flat terminations; lack of color; and occurrence primarily in granite pegmatites. Dana Classification Number: 61.1.1.1 NAME: The word “goshenite,” pronounced GAH-shun-ite, is derived from the town of Goshen, Massachusetts, where this mineral variety was first named. Goshenite is also known as “clear beryl,” “white beryl,” and “white aquamarine.” In European mineralogical literature, goshenite appears as goshenit and goshenita. The word “beryl” stems from bēryllion, the Indo-Aryan word for the mineral. Beryl appears in European mineralogical literature as berilo, berylita, and Berylit. -
Plan De Compensación Global Definición De Volúmenes Volume Definitions
Plan de compensación Global www.globalimpacteam.com Definición de Volúmenes www.globalimpacteam.com Volume Definitions ▪ Qualifying Volume - QV ▪ Used to qualify for Ranks ▪ Commissionable Volume - CV ▪ The volume on which commissions are paid ▪ Starter Pack Volume - SV ▪ Volume on enrollment (Starter packs) for Team Bonus calculations ▪ Kyäni Volume – KV ▪ Volume used in calculating Kyäni Care Loyalty Bonus Genealogy Trees Paygate Team Bonus Fast Start Sponsor Bonus Fast Track Generation Matching Car Program Rank Bonus Ranks - Placement Tree, QV Personal Volume Group Volume Volume Outside Volume Outside KYÄNI RANK (QV) (QV) Largest Leg Largest Two Legs Qualified 100 Distributor Garnet 100 300 100 Jade 100 2000 800 Pearl 100 5,000 2,000 Sapphire 100 10,000 4,000 500 Ruby 100 25,000 10,000 1,250 Emerald 100 50,000 20,000 2,500 Diamond 100 100,000 40,000 5,000 Blue Diamond 100 250,000 100,000 12,500 Green Diamond 100 500,000 200,000 25,000 Purple Diamond 100 1,000,000 400,000 50,000 Red Diamond 100 2,000,000 800,000 100,000 Double Red 100 4,000,000 1,600,000 200,000 Diamond Black Diamond 100 10,000,000 4,000,000 500,000 Double Black 100 25,000,000 10,000,000 1,250,000 Diamond Team Bonus Level Payout Paid Level 6 (5% of SV) Team Bonus (Requires Sapphire Rank) Rank Required % of SV Level Distributor/ Paid Level 5 (5% of SV) Level 1 Qualified 25% (Requires Pearl Rank) Distributor Level 2 Garnet 10% Paid Level 4 (5% of SV) (Requires Jade Rank) Level 3 Jade 5% Level 4 Jade 5% Level 5 Pearl 5% Paid Level 3 (5% of SV) (Requires Jade Rank) Sapphire -
A Defect Study and Classification of Brown Diamonds with Deformation
minerals Article A Defect Study and Classification of Brown Diamonds with Deformation-Related Color Thomas Hainschwang 1,*, Franck Notari 2 and Gianna Pamies 1 1 GGTL Laboratories, Gnetsch 42, 9496 Balzers, Liechtenstein; [email protected] 2 GGTL Laboratories, 2 bis route des Jeunes, 1227 Geneva, Switzerland; [email protected] * Correspondence: [email protected]; Tel.: +423-262-24-64 Received: 3 September 2020; Accepted: 7 October 2020; Published: 12 October 2020 Abstract: For this study, the properties of a large sample of various types of brown diamonds with a deformation-related (referred to as “DR” in this work) color were studied to properly characterize and classify such diamonds, and to compare them to pink to purple to red diamonds. The acquisition of low temperature NIR spectra for a large range of brown diamonds and photoexcitation studies combined with various treatment experiments have opened new windows into certain defect characteristics of brown diamonds, such as the amber centers and naturally occurring H1b and H1c centers. It was determined that the amber centers (referred to as “AC” in this work) exhibit rather variable behaviors to annealing and photoexcitation; the annealing temperature of these defects were determined to 1 range from 1150 to >1850 ◦C and it was found that the 4063 cm− AC was the precursor defect of many other ACs. It is suggested that the amber centers in diamonds that contain at least some C centers are essentially identical to the ones seen in diamonds without C centers, but that they likely have a negative charge. -
Antwerpen, Belgium Diamond Buying Trip & Working Vacation
La Shawn Bauer, GG & High Sierra Gem Lab Email: [email protected] VR3.1x © December 2013 [email protected] Page 1 of 48 MY Overseas – Antwerpen, Belgium Diamond Buying Trip & Working Vacation / Adventure With A Fun Group of I.J.O. Buyers (Independent Jewelers Organization) By La Shawn Bauer, G, G, GG, ASG/AGA, CGL/AGA, CDG/IJO, CGL/IJO, RMV, CM/NAJA You can also checkout my website for other resource information at: http://www.gemologyonline.com/LaShawn/appraisal.html La Shawn Bauer, GG & High Sierra Gem Lab Email: [email protected] VR3.1x © December 2013 [email protected] Page 2 of 48 My Boss Steve Long of Long Jewelers in Chesapeake, Va. asked me to accompany him on this year’s buying trip because he now wants to start going to Antwerp, Belgium Twice a year, a Spring Buying Trip in April and then the Annual Fall Trip in October. He wants me to do the Spring Trip Solo and then he will do the annual fall trip by himself or I might go if we have a large order of diamonds to buy during the fall. This was his 12th or 13th time going to Antwerp with the I.J.O. Buyers (Independent Jewelers Organization). They (The I.J.O. Group along with a large number of Jewelry Store Owners Promote this Event Heavily and they have done very well using this promotional method to separate themselves from their local and even regional competition. This was my first Overseas Diamond Buying Trip and so I quizzed Steve about everything so that I could get a better understanding as to how things operate over there.