Three-View, Plan View and Elevation View Drawings
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The Mathematics of Fels Sculptures
THE MATHEMATICS OF FELS SCULPTURES DAVID FELS AND ANGELO B. MINGARELLI Abstract. We give a purely mathematical interpretation and construction of sculptures rendered by one of the authors, known herein as Fels sculptures. We also show that the mathematical framework underlying Ferguson's sculpture, The Ariadne Torus, may be considered a special case of the more general constructions presented here. More general discussions are also presented about the creation of such sculptures whether they be virtual or in higher dimensional space. Introduction Sculptors manifest ideas as material objects. We use a system wherein an idea is symbolized as a solid, governed by a set of rules, such that the sculpture is the expressed material result of applying rules to symbols. The underlying set of rules, being mathematical in nature, may thus lead to enormous abstraction and although sculptures are generally thought of as three dimensional objects, they can be created in four and higher dimensional (unseen) spaces with various projections leading to new and pleasant three dimensional sculptures. The interplay of mathematics and the arts has, of course, a very long and old history and we cannot begin to elaborate on this matter here. Recently however, the problem of creating mathematical programs for the construction of ribbed sculptures by Charles Perry was considered in [3]. For an insightful paper on topological tori leading to abstract art see also [5]. Spiral and twirling sculptures were analysed and constructed in [1]. This paper deals with a technique for sculpting works mostly based on wood (but not necessarily restricted to it) using abstract ideas based on twirls and tori, though again, not limited to them. -
Architectural Guidelines
ARCHITECTURAL GUIDELINES EFFECTIVE JANUARY 1, 2006 The standards and procedures set forth herein are subject to change from time to time. L:\TRANSACTIONS- Dallas\Central\Pointe West\CCRs\Master Declaration\Architectural Guidelines\PW Architectural Guidelines FINAL 01-01-06.DOC Table of Contents 1.0 Introduction....................................................................................................................................1 1.01 Purpose of the Architectural Guidelines.............................................................................1 1.02 Community Master Plan .....................................................................................................1 1.03 Relationship to Legal Documents and Government Approvals..........................................1 1.04 Approval of Contractors .....................................................................................................1 1.05 Rules and Regulations ........................................................................................................2 2.0 Organization and Responsibilities of the Architectural Review Board ....................................2 2.01 Mission and Function..........................................................................................................2 2.02 Scope of Responsibility ......................................................................................................2 2.03 Enforcement Powers...........................................................................................................3 -
History of the Offshore Oil and Gas Industry in Southern Louisiana Interim Report
OCS Study MMS 2004-050 History of the Offshore Oil and Gas Industry in Southern Louisiana Interim Report Volume II: Bayou Lafourche – An Oral History of the Development of the Oil and Gas Industry U.S. Department of the Interior Minerals Management Service Gulf of Mexico OCS Region OCS Study MMS 2004-050 History of the Offshore Oil and Gas Industry in Southern Louisiana Interim Report Volume II: Bayou Lafourche – An Oral History of the Development of the Oil and Gas Industry Author Tom McGuire Prepared under MMS Contract 1435-01-02-CA-85169 by Center for Energy Studies Louisiana State University Baton Rouge, Louisiana Published by U.S. Department of the Interior Minerals Management Service New Orleans Gulf of Mexico OCS Region July 2004 DISCLAIMER This report was prepared under contract between the Minerals Management Service (MMS) and Louisiana State University’s Center for Energy Studies. This report has not been technically reviewed by MMS. Approval does not signify that the contents necessarily reflect the view and policies of the Service, nor does mention of trade names or commercial products constitute endorsement or recommendation for use. It is, however, exempt from review and compliance with MMS editorial standards. REPORT AVAILABILITY Extra copies of the report may be obtained from the Public Information Office (Mail Stop 5034) at the following address: U.S. Department of the Interior Minerals Management Service Gulf of Mexico OCS Region Public Information Office (MS 5034) 1201 Elmwood Park Boulevard New Orleans, Louisiana 70123-2394 Telephone Number: 1-800-200-GULF 1-504-736-2519 CITATION Suggested citation: McGuire, T. -
EXHIBIT B CPC Report N 190230 ZRY (Residential Tower
EXHIBIT B CPC Report N 190230 ZRY (Residential Tower Mechanical Voids) CITY PLANNING COMMISSION April 10, 2019, Calendar No. 11 N 190230 ZRY IN THE MATTER OF an application submitted by the Department of City Planning pursuant to Section 201 of the New York City Charter for an amendment of Article II, Chapter 3 and related provisions of the Zoning Resolution of the City of New York, modifying residential tower regulations to require certain mechanical spaces to be calculated as residential floor area. _____________________________________________________________________________ This application (N 190230 ZRY) for a zoning text amendment was filed by the Department of City Planning (DCP) on January 25, 2019 to discourage the use of excessively tall mechanical floors in high-density residential tower districts. The proposal would require that mechanical floors, typically excluded from zoning floor area calculations, would be counted toward the overall permitted floor area on the zoning lot if they are taller than new specified limits or overly concentrated in portions of the building. The proposed floor area requirements would apply to residential towers in non-contextual R9 and R10 Residence Districts and their equivalent Commercial Districts, as well as Special Purpose Districts that rely on underlying floor area and height and setback regulations or that are primarily residential in character. The provision would also apply to non-residential portions of a mixed-use building if the building contains a limited amount of non-residential floor area. BACKGROUND The New York City Zoning Resolution allows floor space containing mechanical equipment to be excluded from zoning floor area calculations, reflecting the recognition that these spaces perform important and necessary functions within buildings. -
German Jews in the United States: a Guide to Archival Collections
GERMAN HISTORICAL INSTITUTE,WASHINGTON,DC REFERENCE GUIDE 24 GERMAN JEWS IN THE UNITED STATES: AGUIDE TO ARCHIVAL COLLECTIONS Contents INTRODUCTION &ACKNOWLEDGMENTS 1 ABOUT THE EDITOR 6 ARCHIVAL COLLECTIONS (arranged alphabetically by state and then city) ALABAMA Montgomery 1. Alabama Department of Archives and History ................................ 7 ARIZONA Phoenix 2. Arizona Jewish Historical Society ........................................................ 8 ARKANSAS Little Rock 3. Arkansas History Commission and State Archives .......................... 9 CALIFORNIA Berkeley 4. University of California, Berkeley: Bancroft Library, Archives .................................................................................................. 10 5. Judah L. Mages Museum: Western Jewish History Center ........... 14 Beverly Hills 6. Acad. of Motion Picture Arts and Sciences: Margaret Herrick Library, Special Coll. ............................................................................ 16 Davis 7. University of California at Davis: Shields Library, Special Collections and Archives ..................................................................... 16 Long Beach 8. California State Library, Long Beach: Special Collections ............. 17 Los Angeles 9. John F. Kennedy Memorial Library: Special Collections ...............18 10. UCLA Film and Television Archive .................................................. 18 11. USC: Doheny Memorial Library, Lion Feuchtwanger Archive ................................................................................................... -
Scope of Services Template
November 2018 SCOPE OF SERVICES FOR FINANCIAL PROJECT ID(S). To Be Determined by Task Work Order Continuing Services Existing Roadway Condition Assessment Report (ERCAR) Development District-Wide Florida’s Turnpike Enterprise 1 PURPOSE ............................................................................................................................. 4 2 PROJECT DESCRIPTION ................................................................................................. 6 3 PROJECT COMMON AND PROJECT GENERAL TASKS....................................... 34 4 ROADWAY ANALYSIS ................................................................................................... 44 5 ROADWAY PLANS .......................................................................................................... 51 6A DRAINAGE ANALYSIS ................................................................................................... 52 6B DRAINAGE PLANS .......................................................................................................... 56 7 UTILITIES .......................................................................................................................... 57 8 ENVIRONMENTAL PERMITS, COMPLIANCE, AND ENVIRONMENTAL CLEARANCES .................................................................................................................. 61 9 STRUCTURES - SUMMARY AND MISCELLANEOUS TASKS AND DRAWINGS ............................................................................................................................................. -
Sculptures in S3
Sculptures in S3 Saul Schleimer and Henry Segerman∗ Abstract We describe the construction of a number of sculptures. Each is based on a geometric design native to the three- sphere: the unit sphere in four-dimensional space. Via stereographic projection, we transfer the design to three- dimensional space. All of the sculptures are then fabricated by the 3D printing service Shapeways. 1 Introduction The three-sphere, denoted S3, is a three-dimensional analog of the ordinary two-dimensional sphere, S2. In n+ general, the n–dimensional sphere is a subset of R 1 as follows: n n+1 2 2 2 S = f(x0;x1;:::;xn) 2 R j x0 + x1 + ··· + xn = 1g: Thus S2 can be seen as the usual unit sphere in R3. Visualising objects in dimensions higher than three is non-trivial. However for S3 we can use stereographic projection to reduce the dimension from four to three. n n n Let N = (0;:::;0;1) be the north pole of S . We define stereographic projection r : S − fNg ! R by x0 x1 xn−1 r(x0;x1;:::;xn) = ; ;:::; : 1 − xn 1 − xn 1 − xn See [1, page 27]. Figure 1a displays the one-dimensional case; this is also a cross-section of the n– dimensional case. For any point (x;y) 2 S1 − fNg draw the straight line L between N and (x;y). Then L meets R1 at a single point; this is r(x;y). N x 1−y (x;y) (a) Stereographic projection from S1 − (b) Two-dimensional stereographic projection applied to the Earth. -
Identifying Robust Plans Through Plan Diagram Reduction
Identifying Robust Plans through Plan Diagram Reduction ∗ Harish D. Pooja N. Darera Jayant R. Haritsa Database Systems Lab, SERC/CSA Indian Institute of Science, Bangalore 560012, INDIA ABSTRACT tary and conceptually different approach, which we consider in this Estimates of predicate selectivities by database query optimizers paper, is to identify robust plans that are relatively less sensitive to often differ significantly from those actually encountered during such selectivity errors. In a nutshell, to “aim for resistance, rather query execution, leading to poor plan choices and inflated response than cure”, by identifying plans that provide comparatively good times. In this paper, we investigate mitigating this problem by performance over large regions of the selectivity space. Such plan replacing selectivity error-sensitive plan choices with alternative choices are especially important for industrial workloads where plans that provide robust performance. Our approach is based on global stability is as much a concern as local optimality [18]. the recent observation that even the complex and dense “plan di- Over the last decade, a variety of strategies have been proposed agrams” associated with industrial-strength optimizers can be ef- to identify robust plans, including the Least Expected Cost [6, 8], ficiently reduced to “anorexic” equivalents featuring only a few Robust Cardinality Estimation [2] and Rio [3, 4] approaches. These plans, without materially impacting query processing quality. techniques provide novel and elegant formulations (summarized in Extensive experimentation with a rich set of TPC-H and TPC- Section 6), but have to contend with the following issues: DS-based query templates in a variety of database environments Firstly, they are intrusive requiring, to varying degrees, modifi- indicate that plan diagram reduction typically retains plans that are cations to the optimizer engine. -
The Mathematics of Mitering and Its Artful Application
The Mathematics of Mitering and Its Artful Application Tom Verhoeff Koos Verhoeff Faculty of Mathematics and CS Valkenswaard, Netherlands Eindhoven University of Technology Den Dolech 2 5612 AZ Eindhoven, Netherlands Email: [email protected] Abstract We give a systematic presentation of the mathematics behind the classic miter joint and variants, like the skew miter joint and the (skew) fold joint. The latter is especially useful for connecting strips at an angle. We also address the problems that arise from constructing a closed 3D path from beams by using miter joints all the way round. We illustrate the possibilities with artwork making use of various miter joints. 1 Introduction The miter joint is well-known in the Arts, if only as a way of making fine frames for pictures and paintings. In its everyday application, a common problem with miter joints occurs when cutting a baseboard for walls meeting at an angle other than exactly 90 degrees. However, there is much more to the miter joint than meets the eye. In this paper, we will explore variations and related mathematical challenges, and show some artwork that this provoked. In Section 2 we introduce the problem domain and its terminology. A systematic mathematical treatment is presented in Section 3. Section 4 shows some artwork based on various miter joints. We conclude the paper in Section 5 with some pointers to further work. 2 Problem Domain and Terminology We will now describe how we encountered new problems related to the miter joint. To avoid misunderstand- ings, we first introduce some terminology. Figure 1: Polygon knot with six edges (left) and thickened with circular cylinders (right) 225 2.1 Cylinders, single and double beveling, planar and spatial mitering Let K be a one-dimensional curve in space, having finite length. -
Space Efficiency in Multi-Use Tall Building
ctbuh.org/papers Title: Space Efficiency in Multi-Use Tall Building Authors: Mahjoub Elnimeiri, Research Associate, Illinois Institute of Technology Hyeong-Ill Kim, Professor, Illinois Institute of Technology Subject: Architectural/Design Keywords: Design Process Mixed-Use Planning Publication Date: 2004 Original Publication: CTBUH 2004 Seoul Conference Paper Type: 1. Book chapter/Part chapter 2. Journal paper 3. Conference proceeding 4. Unpublished conference paper 5. Magazine article 6. Unpublished © Council on Tall Buildings and Urban Habitat / Mahjoub Elnimeiri; Hyeong-Ill Kim Space Efficiency in Multi-Use Tall Building Hyeong-ill Kim1, Mahjoub Elnimeiri2, 1 Research Associate, College of Architecture, Illinois Institute of Technology 2Professor, College of Architecture, Illinois Institute of Technology Abstract This paper seeks to make a contribution to the development of the design strategies for multi-use tall buildings in relation to space efficiency of the building for architects, engineers and developers during their early phases of the design process. This research describes the complex challenges of a design development process influenced by vertically stacked functions. This paper addresses the important parameters in the design of multi-use tall buildings and their relationship to the space efficiency. Parameters including functions, lease span, floor-to-floor height, vertical transportation, site area, FAR(Floor Area Ratio), building height, number of floors, building size at the base and top, , aspect ratio, structural system were analyzed. Ten multi-use buildings were carefully surveyed and investigated through specific case studies. To achieve this comparative analysis, a comprehensive data base was established. Based on the results of the case studies, a set of quantitative analysis was performed to show relationship among design factors. -
Progress Consulting Services Modernization Blueprint
October, 2015 Progress Consulting Services Modernization Blueprint Table of Contents Introduction...3 The Definition of Modernization...4 Application Modernization Assessment...6 Modernization Assessment Details. .7 Assessment Approach. .7 Assessment Deliverables. .9 Modernization Approach...10 POC – Pilot Project. .10 Identification of Scope. .10 Set up & Configure. .12 Code Review and Assessment. .12 User Interface/User Experience Design. .12 Construction. .15 Training/Knowledge Transfer. .16 Summary...17 Progress.com 2 Introduction This whitepaper documents the primary components of the From introductions of key stakeholders, to an overview of the Progress Modernization Engagement, which we call the Progress expected development process, to Progress’ role in the project’s Modernization Blueprint. The business and technical benefits execution, the Progress Modernization Blueprint will guide you of modernization have been proven time and time again. through each step of your modernization project, ensuring an end Modernization not only minimizes hardware, development, training result that brings maximum value to your business. and deployment costs, but lessens risk with far fewer disruptions to your business. We take an iterative approach to your modernization project, working side by side with you to determine business and technical Determine Determine Set Up needs, and what architecture and technology best suits your Business & Architecture & Environment Tech Needs Technology objectives. The Blueprint is broken down into three components. Identification Modernization Assessment: determine how Progess can of Scope 1. facilitate the activities required to modernize an application to meet business goals Training & Set Up Knowledge Transfer & Configure ITERATIVE Proof of Concept: demonstrate the prescribed approach PROCESS 2. and what the final result could look like Modernization Project: an iterative approach to define the Construction Code Review & Assessment 3. -
Proposal for a Professional Operating Business Plan Willows Mansion at 490 Darby-Paoli Road Submitted to Radnor Township June 1St, 2017 Table of Contents
Proposal for a Professional Operating Business Plan Willows Mansion at 490 Darby-Paoli Road Submitted to Radnor Township June 1st, 2017 Table of Contents 01...................................Scope of Services 02...........................Project Team Resumes 03..........................................Qualifications 04.................Standard Terms & Conditions 01 Scope of Services June 2, 2017 Mr. Robert A. Zienkowski Township Manager/Secretary Radnor Township 301 Iven Avenue Wayne, PA 19087 [email protected] 610-688-5600 Project: Planning Services for an Operating Business Plan for The Willows Mansion Radnor, Pennsylvania Dear Mr. Zienkowski: We are pleased to present this proposal to provide business planning, community engagement and design services in response to Radnor Township’s (The Client) May 10th Request for Proposals for Professional Operating Business Plan Development Services for The Willows Mansion located at 490 Darby Paoli Rd, Villanova, PA 19085 within The Willows Park owned by Radnor Township. BartonPartners – Architects and Planners will serve as the prime consultant providing community meeting facilitation and architectural services with support from Urban Partners for business planning/ market opportunity services and Rettew for meeting facilitation and site feasibility services (the Consultant Team). Our team is supported by Willows Park Trust - a group of Radnor citizens committed to enhanc- ing The Willows Park, Mansion and Cottage for the benefit of the community. Project Understanding Radnor Township seeks a planning consultant to prepare a business plan for the successful operation of the Willows Mansion located within the Radnor Township-owned Willows Park. This business plan must address a number of competing objectives while recommending a governance plan for the long-term operation of this facility in a fiscally responsible manner.