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1

Ho, Y. Phoebe, and Yan Liu. "Parabolas in Taxicab Geometry." Missouri Journal of Mathematical Sciences 8, no. 2 (May 1996): 63–72. http://dx.doi.org/10.35834/1996/0802063.

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2

Berger, Ruth I. "From Circle to Hyperbola in Taxicab Geometry." Mathematics Teacher 109, no. 3 (October 2015): 214–19. http://dx.doi.org/10.5951/mathteacher.109.3.0214.

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3

Kocayusufoğlu, İsmail. "Trigonometry on Iso-Taxicab Geometry." Mathematical and Computational Applications 5, no. 3 (December 1, 2000): 201–12. http://dx.doi.org/10.3390/mca5020201.

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4

Sowell, Katye O. "Taxicab Geometry-A New Slant." Mathematics Magazine 62, no. 4 (October 1, 1989): 238. http://dx.doi.org/10.2307/2689762.

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5

Golland, Louise. "Karl Menger and Taxicab Geometry." Mathematics Magazine 63, no. 5 (December 1, 1990): 326. http://dx.doi.org/10.2307/2690903.

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6

Tian, Songlin, Shing‐Seung So, and Guanghui Chen. "Concerning circles in taxicab geometry." International Journal of Mathematical Education in Science and Technology 28, no. 5 (September 1997): 727–33. http://dx.doi.org/10.1080/0020739970280509.

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7

Hanson, J. R. "A visit to taxicab geometry." International Journal of Mathematical Education in Science and Technology 43, no. 8 (December 15, 2012): 1109–23. http://dx.doi.org/10.1080/0020739x.2012.662291.

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8

Hanson, J. R. "Regular polygons in taxicab geometry." International Journal of Mathematical Education in Science and Technology 45, no. 7 (April 2, 2014): 1084–95. http://dx.doi.org/10.1080/0020739x.2014.902130.

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9

Bahuaud, Eric, Shana Crawford, Aaron Fish, Dylan Helliwell, Anna Miller, Freddy Nungaray, Suki Shergill, Julian Tiffay, and Nico Velez. "Apollonian sets in taxicab geometry." Rocky Mountain Journal of Mathematics 50, no. 1 (February 2020): 25–39. http://dx.doi.org/10.1216/rmj.2020.50.25.

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10

Sowell, Katye O. "Taxicab Geometry—A New Slant." Mathematics Magazine 62, no. 4 (October 1989): 238–48. http://dx.doi.org/10.1080/0025570x.1989.11977445.

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11

Golland, Louise. "Karl Menger and Taxicab Geometry." Mathematics Magazine 63, no. 5 (December 1990): 326–27. http://dx.doi.org/10.1080/0025570x.1990.11977548.

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12

Kocayusufoğlu, ̊smail. "Isoperimetric inequality in taxicab geometry." Mathematical Inequalities & Applications, no. 2 (2006): 269–72. http://dx.doi.org/10.7153/mia-09-27.

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13

Bellot, F., and Eugene E. Krause. "Taxicab Geometry: An Adventure in Non-Euclidean Geometry." Mathematical Gazette 72, no. 461 (October 1988): 255. http://dx.doi.org/10.2307/3618288.

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14

Cho, Hoyun. "Taxicab Geometry in New York City." Mathematics Teaching in the Middle School 20, no. 4 (November 2014): 256. http://dx.doi.org/10.5951/mathteacmiddscho.20.4.0256.

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15

Nirode, Wayne. "Lines as “Foci” for Conic Sections." Mathematics Teacher 112, no. 4 (January 2019): 312–16. http://dx.doi.org/10.5951/mathteacher.112.4.0312.

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One of my goals, as a geometry teacher, is for my students to develop a deep and flexible understanding of the written definition of a geometric object and the corresponding prototypical diagram. Providing students with opportunities to explore analogous problems is an ideal way to help foster this understanding. Two ways to do this is either to change the surface from a plane to a sphere or change the metric from Pythagorean distance to taxicab distance (where distance is defined as the sum of the horizontal and vertical components between two points). Using a different surface or metric can have dramatic effects on the appearance of geometric objects. For example, in spherical geometry, triangles that are impossible in plane geometry (such as triangles with three right or three obtuse angles) are now possible. In taxicab geometry, a circle now looks like a Euclidean square that has been rotated 45 degrees.
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16

Dreiling, Keith M. "Delving Deeper: Triangle Construction in Taxicab Geometry." Mathematics Teacher 105, no. 6 (February 2012): 474–78. http://dx.doi.org/10.5951/mathteacher.105.6.0474.

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17

Smith, Christopher E. "Is That Square Really a Circle?" Mathematics Teacher 106, no. 8 (April 2013): 614–19. http://dx.doi.org/10.5951/mathteacher.106.8.0614.

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18

Kocayusufoğlu, İsmail, and Ertuğrul Özdamar. "Connections and Minimizing Geodesics of Taxicab Geometry." Mathematical and Computational Applications 5, no. 3 (December 1, 2000): 191–200. http://dx.doi.org/10.3390/mca5020191.

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19

Park, Hyun Gyu, Kyung Rok Kim, Il Seog Ko, and Byung Hak Kim. "ON POLAR TAXICAB GEOMETRY IN A PLANE." Journal of applied mathematics & informatics 32, no. 5_6 (September 30, 2014): 783–90. http://dx.doi.org/10.14317/jami.2014.783.

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20

Ada, Tuba, and Aytaç Kurtulus. "Project-Based Learning to Explore Taxicab Geometry." PRIMUS 22, no. 2 (February 2012): 108–33. http://dx.doi.org/10.1080/10511970.2010.493926.

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21

Oren, Idris, and H. Anil Coban. "Invariant Properties of Curves in the Taxicab Geometry." Missouri Journal of Mathematical Sciences 26, no. 2 (November 2014): 107–14. http://dx.doi.org/10.35834/mjms/1418931952.

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22

Biolek, Zdeněk, Dalibor Biolek, Viera Biolková, and Zdeněk Kolka. "Taxicab geometry in table of higher-order elements." Nonlinear Dynamics 98, no. 1 (August 30, 2019): 623–36. http://dx.doi.org/10.1007/s11071-019-05218-9.

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23

Loiola, Carlos Augusto Gomes, and Chrsitine Sertã Costa. "AS CÔNICAS NA GEOMETRIA DO TÁXI." Ciência e Natura 37 (August 7, 2015): 179. http://dx.doi.org/10.5902/2179460x14596.

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http://dx.doi.org/10.5902/2179460X14596This paper aims to present conics when defined in a non-Euclidean geometry: the Taxicab geometry. The choice of this geometry was due to the simplicity of its definitions enabling diverse applications in Basic Education. It differs from Euclidean geometry by its metric and presents interesting and surprising results that enable the development of a more critical and meaningful learning.
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24

Ghosh, Partha, Takaaki Goto, and Soumya Sen. "Taxicab Geometry Based Analysis on Skyline for Business Intelligence." International Journal of Software Innovation 6, no. 4 (October 2018): 86–102. http://dx.doi.org/10.4018/ijsi.2018100107.

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This article describes how multi-criteria decision making problems are difficult to handle in normal SQL query processing. Skyline computation is generally used to solve these types of requirements by using dominance analysis and finding shortest distance with respect to a prime interesting point. However, in real life scenarios shortest distance may not be applicable in most of the cases due to different obstacles or barriers exist between the point of interests or places. In order to consider the presence of obstacles for geographically dispersed data, this research work uses Taxicab geometry for distance calculation, which is a simple Non-Euclidian geometry with minimum time complexity. Another limitation of previous skyline based works are that they only focus upon a single interesting point and can't be apply for multiple interesting points. This research article focuses upon multiple visiting points for the travelers in an optimized way. In addition to this, the article also selects areas for setting up of new business properties considering the constraints.
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25

Ada, Tuba, Aytaç Kurtuluş, and H. Bahadır Yanik. "Developing the concept of a parabola in Taxicab geometry." International Journal of Mathematical Education in Science and Technology 46, no. 2 (September 9, 2014): 264–83. http://dx.doi.org/10.1080/0020739x.2014.956825.

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26

ÇOLAKOĞLU, Harun Barış. "On the distance formulae in the generalized taxicab geometry." TURKISH JOURNAL OF MATHEMATICS 43, no. 3 (May 29, 2019): 1578–94. http://dx.doi.org/10.3906/mat-1809-78.

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27

Petrović, Maja, Branko J. Malešević, and Bojan Banjac. "On the Erdös-Mordell inequality for triangles in taxicab geometry." Journal of Mathematical Inequalities, no. 4 (2020): 1299–319. http://dx.doi.org/10.7153/jmi-2020-14-84.

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28

Kim, Kyung Rok, Hyun Gyu Park, Il Seog Ko, and Byung Hak Kim. "A STUDY ON QUADRATIC CURVES AND GENERALIZED ECCENTRICITY IN POLAR TAXICAB GEOMETRY." Korean Journal of Mathematics 22, no. 3 (September 30, 2014): 567–81. http://dx.doi.org/10.11568/kjm.2014.22.3.567.

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29

BERKOVE, ETHAN, and DEREK SMITH. "GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE." Fractals 28, no. 07 (November 2020): 2050120. http://dx.doi.org/10.1142/s0218348x20501200.

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In this paper, we study geodesics in the Sierpinski carpet and Menger sponge, as well as in a family of fractals that naturally generalize the carpet and sponge to higher dimensions. In all dimensions, between any two points we construct a geodesic taxicab path, namely a path comprised of segments parallel to the coordinate axes and possibly limiting to its endpoints by necessity. These paths are related to the skeletal graph approximations of the Sierpinski carpet that have been studied by many authors. We then provide a sharp bound on the ratio of the taxicab metric to the Euclidean metric, extending Cristea’s result for the Sierpinski carpet. As an application, we determine the diameter of the Sierpinski carpet taken over all rectifiable curves. For other members of the family, we provide a lower bound on the diameter taken over all piecewise smooth curves.
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30

Prevost, Fernand J. "Activities: The Conic Sections in Taxicab Geometry: Some Investigations for High School Students." Mathematics Teacher 91, no. 4 (April 1998): 304–41. http://dx.doi.org/10.5951/mt.91.4.0304.

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The urban world in which many of us live does not lend itself to the metric of Euclidean geometry. Assuming that the avenues are perpendicular to the streets in a city, the distance from “fifth and fifty-first” to “seventh and thirty-fourth” is not the familiar Euclidean distance found by applying the Pythagorean theorem. The distance must instead be measured in blocks from fifth to seventh avenues and then from fifty-first to thirty-fourth streets. This taxicab metric, one of several me tries used in mathematics (Eisenberg and Khabbaz 1992), is practical for many applications and helps students pursue interesting investigations while deepening their understanding of familiar topics.
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31

Caballero, David. "Taxicab geometry: Some problems and solutions for square grid-based fire spread simulation." Forest Ecology and Management 234 (November 2006): S98. http://dx.doi.org/10.1016/j.foreco.2006.08.134.

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32

Todorov, Todor. "Probability Density Functions for Travel Times in One-Dimensional and Taxicab Service Zones Parameterized by the Maximal Travel Duration of the S/R Machine Within the Zone." Logistics 3, no. 3 (July 2, 2019): 17. http://dx.doi.org/10.3390/logistics3030017.

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Travel times for simple trips and cycles are analyzed for a storage/retrieval machine working in a one-dimensional or two-dimensional zone with taxicab geometry. A semi-random trip is defined as one-way travel from a known to a random location or vice versa. A random trip is defined as one-way travel from a random to another random location. The probability density function (PDF) of the travelling time for a semi-random trip in a one-dimensional zone is expressed analytically for all possible locations of its starting point. The PDF of a random trip within the same zone is found as a marginal probability by considering all possible durations for such travel. Then the PDFs for the travel times of single command (SC) and dual command (DC) cycles are obtained by scaling the PDF for the travel time of a semi-random trip (for SC) and as the maximum travel time of two independent semi-random trips (for DC). PDFs for travel times in a two-dimensional service zone with taxicab geometry are calculated by considering the trip as a superposition of two one-dimensional trips. The PDFs for travel times of SC and DC cycles are calculated in the same way. Both the one-dimensional and the two-dimensional service zones are analyzed in the time domain without normalization. The PDFs for all travel times are expressed in an analytical form parameterized by the maximal possible travel time within the zone. The graphs of all PDFs are illustrated by numerical examples.
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33

Kemp, Aubrey, and Draga Vidakovic. "Ways secondary mathematics teachers apply definitions in Taxicab geometry for a real-life situation: Midset." Journal of Mathematical Behavior 62 (June 2021): 100848. http://dx.doi.org/10.1016/j.jmathb.2021.100848.

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34

RAMÍREZ, JOSÉ L., GUSTAVO N. RUBIANO, and BORUT JURČIČ ZLOBEC. "GENERATING FRACTAL PATTERNS BY USING p-CIRCLE INVERSION." Fractals 23, no. 04 (December 2015): 1550047. http://dx.doi.org/10.1142/s0218348x15500474.

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In this paper, we introduce the [Formula: see text]-circle inversion which generalizes the classical inversion with respect to a circle ([Formula: see text]) and the taxicab inversion [Formula: see text]. We study some basic properties and we also show the inversive images of some basic curves. We apply this new transformation to well-known fractals such as Sierpinski triangle, Koch curve, dragon curve, Fibonacci fractal, among others. Then we obtain new fractal patterns. Moreover, we generalize the method called circle inversion fractal be means of the [Formula: see text]-circle inversion.
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35

Sharifi, Neda, Zheng Gong, Geoffrey Holmes, and Yifan Chen. "A Feasibility Study of In Vivo Control and Tracking of Microrobot Using Taxicab Geometry for Direct Drug Targeting." IEEE Transactions on NanoBioscience 20, no. 2 (April 2021): 235–45. http://dx.doi.org/10.1109/tnb.2021.3062006.

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36

Kuder, Kamil J., Ilona Michalik, Katarzyna Kieć-Kononowicz, and Peter Kolb. "A Taxicab geometry quantification system to evaluate the performance of in silico methods: a case study on adenosine receptors ligands." Journal of Computer-Aided Molecular Design 34, no. 6 (February 28, 2020): 697–707. http://dx.doi.org/10.1007/s10822-020-00301-5.

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37

Das, Debasis, Somnath Bhattacharya, and Bijan Sarkar. "Material selection in engineering design based on nearest neighbor search under uncertainty: a spatial approach by harmonizing the Euclidean and Taxicab geometry." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 33, no. 03 (October 2, 2018): 238–46. http://dx.doi.org/10.1017/s0890060418000203.

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AbstractMaterial selection is a fundamental step in mechanical design that has to meet all the functional requirements of the component. Multiple-attributed decision-making (MADM) processes are already well established to choose the preeminent alternative from the finite set of alternatives, but there is some lack of geometrical evidence if the alternatives are considered as multi-dimensional points. In this paper, a fresh spatial approach is proposed based on nearest neighbor search (NNS) in which the nearness parameter is considered as a Manhattan norm (Taxicab geometry) in turn which is a function of the Euclidean norm and cosine similarity to raise a preeminent alternative under the MADM framework. Cryogenic storage tank and flywheel are considered as two case studies to check the validity of the proposed spatial approach based on NNS in material selection. The result shows the right choice for the cryogenic storage tank is the austenitic steel (SS 301 FH), and for the flywheel, it is a composite material (Kevler 49-epoxy FRP) those are consistent with the real-world practice and the results are compared with other MADM methods of previous works.
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38

Putri, Zulviati. "TEOREMA PYTHAGORAS PADA BIDANG TAXICAB." Jurnal Matematika UNAND 1, no. 1 (October 12, 2012): 24. http://dx.doi.org/10.25077/jmu.1.1.24-29.2012.

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Geometri Taxicab adalah bentuk geometri dimana fungsi jarakatau metrik dari geometri Euclidean diganti dengan metrik baru di-mana jarak antara dua titik adalah jumlah dari perbedaan mutlak darikoordinat-koordinatnya, atau dapat ditulis :dT ((x1; y1); (x2; y2)) = jx1 􀀀 x2j + jy1 􀀀 y2jTulisan ini bertujuan untuk mengkaji kembali tentang teorema Pythago-ras pada bidang Taxicab. Teorema Pythagoras yang diperoleh pada bidangTaxicab bergantung kepada posisi segitiga siku-siku pada bidang koor-dinat serta menggunakan kemiringan dan jarak pada bidang Taxicab.
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39

Usurelu, Gabriela Ioana, and Mihai Postolache. "Convergence Analysis for a Three-Step Thakur Iteration for Suzuki-Type Nonexpansive Mappings with Visualization." Symmetry 11, no. 12 (November 23, 2019): 1441. http://dx.doi.org/10.3390/sym11121441.

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The class of Suzuki mappings is reanalyzed in connection with a three-steps Thakur procedure. The setting is provided by a uniformly convex Banach space, that is normed space endowed with some symmetric geometric properties and some topological properties. Once more, the fact that property ( C ) holds on as a generalized nonexpansiveness condition is emphasized throughout some examples. One example uses the setting of R 2 with the Taxicab norm. It is further included in a numerical experiment in connection with seven iteration procedures, resulting a visual analysis of convergence.
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40

Jentsch, Florian. "The Effects of Taxiway Light Geometry, Color, and Location on Position Determination by Pilots." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 38, no. 1 (October 1994): 76–80. http://dx.doi.org/10.1177/154193129403800114.

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Lack of perspective cues or abundance of lights in airport taxiway areas have been problems leading to pilot disorientation when navigating on the airport surface. Possible human factors solutions include the introduction of perspective cues through shaped lights and the reduction of extraneous light signals with shielded lights. Thirty-two pilots participated in a laboratory simulation to evaluate the effects of taxiway light geometry, color, and location on determination of position. Two new systems (shielded and shaped lights) were tested against two traditional systems (blue edge lights and green centerline lights). Subjects had to determine their position on an airport map from static, out-the-cockpit views. Contrary to expectations, the two new systems did not lead to improved performance over the traditional systems in this simulation. In fact, the pattern of means suggested that performance was better with the traditional systems than with the new ones. In the case of the number of correctly identified positions, these differences were significant. Subjects' confidence and their actual performance in position determination did not correlate. Implications for studies investigating airport surface navigation systems are discussed.
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41

Anwar, Muzumil, Ahmad Wasim, Muzaffar Ali, Salman Hussain, and Mirza Jahanzaib. "Experimental analysis of parabolic trough collector system with multiple receiver geometries and reflective materials." Thermal Science, no. 00 (2020): 216. http://dx.doi.org/10.2298/tsci191202216a.

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Solar parabolic trough collector systems provide an attractive solution especially for solar thermal power generation. The performance of these systems significantly depends on receiver geometries. Therefore, in the current study, an experimental analysis has been performed using three different receiver geometries along-with two reflective materials. These receiver geometries include: simple tube (reference geometry A), receiver tube with straight absorber plate (geometry B) and receiver tube with curved absorber plate (geometry C); whereas, the reflective materials include: aluminum and Stainless steel. The experimentation was performed under subtropical climate conditions of Taxila, Pakistan. From experimentation, it was identified that peak heat gain obtained from receiver geometries C and B were 71 %, and 30 % higher as compared to the reference geometry A respectively. The, thermal efficiency of the system with geometry A was 20 %, geometry B was 28 % and geometry C was 34 %. Furthermore, two reflective materials i.e. aluminum and Stainless steel were used on geometry C which yielded best results for further PTC performance analysis. It was observed that peak thermal efficiencies were 34.8 % and 31 % with aluminum and stainless steel as reflector materials. The results indicated that aluminum reflector was approx. 12 % efficient as compared to stainless steel reflector. The results will help to cultivate the advantages of innovative receiver geometries and alternative reflective materials.
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42

Xu, CY, and HB Cheng. "A free-form side-emitting lens for airfield lighting." Lighting Research & Technology 50, no. 6 (April 14, 2017): 937–51. http://dx.doi.org/10.1177/1477153517702695.

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Side-emitting lenses are essential devices in some special lighting fields. Two types of side-emitting lenses with refractive and total reflective free-form surfaces are introduced. The principles of geometric optics and non-imaging optics are adopted to construct the free-form surfaces without complex mapping or a differential iteration process. As an example, an elevated taxiway edge light is designed for airfield lighting. A side-emitting lens with two sawtooth additions on top is designed to meet the luminous intensity distribution required by the US Federal Aviation Administration (FAA). An analysis is carried out to determine tolerance limits during manufacture and installation. Computer simulation results show that a side-emitting efficiency of 85.4% is achieved for a Cree XP-E LED. The light distribution of this elevated taxiway edge light complies with the FAA regulations.
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43

Barbarella, M., M. R. De Blasiis, M. Fiani, and M. Santoni. "A LiDAR application for the study of taxiway surface evenness and slope." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences II-5 (May 28, 2014): 65–72. http://dx.doi.org/10.5194/isprsannals-ii-5-65-2014.

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Pavement roughness evaluation of airport runways/taxiways and scheduling of maintenance operations should be done according to well-defined procedures. Survey of geometric features of airport pavements is performed to verify the flow of water from the surface and to assure a level of roughness that allows the airplane to maneuver in the safest and most comfortable conditions. <br><br> In particular the evaluation of longitudinal and transversal evenness of the runway and taxiway is carried out through topographic survey. The tachymetric survey has been carried out according to traditional topographic technique, which allows the evaluation of geometric position of isolated points with very high accuracy, but it is not very productive. Moreover it returns the pavement surface model through only few measured points. An alternative survey method, characterized by a good accuracy, high speed of acquisition and very high surveyed point density, is Terrestrial Laser Scanning (TLS), in static mode. In this paper we describe our experience aimed to validate the use of time-of-flight (TOF) TLS, based on a survey on a 200 m length segment of an international airport taxiway. From the acquired data we extracted the parameters of interest, especially the slope, and compared them with the values obtained from the traditional topographic survey. We also developed a proprietary software package to evaluate the slope and to analyze the statistical data. The software allows users to manage the flow of a semi-automatic calculation.
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44

ÖZDAMAR, E., and İ. KOCAYUSUFOĞLU. "Isometries of taxicab geometry." Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1998, 073–83. http://dx.doi.org/10.1501/commua1_0000000407.

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45

Cam Tho, Chu, and Tran Thi Ha Phuong. "Didactic Reform: Organising Learning Projects on Distance and Applications in Taxicab Geometry for Students Specialising in Mathematics." VNU Journal of Science: Education Research 33, no. 4 (December 28, 2017). http://dx.doi.org/10.25073/2588-1159/vnuer.4120.

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In the early 20th century, Hermann Minkowski (1864-1909) proposed an idea about a new metric, one of many metrics of non­-Euclidean geometry that he developed called Taxicab geometry. The purpose of this paper is to design activities so that students can construct the concept of distance and realise practical applications of Taxicab geometry.
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Gusmão, Nathan Lascoski, Fernando Yudi Sakaguti, and Liceia Alves Pires. "A geometria do táxi: uma proposta da geometria não euclidiana na educação básica The táxicab geometry: a proposal non-euclidean geometry in basic education." Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 19, no. 2 (September 7, 2017). http://dx.doi.org/10.23925/1983-3156.2017v19i2p211-235.

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ResumoEste trabalho apresenta uma proposta de inserção da geometria não-euclidiana na educação básica, em especial nas aulas de matemática no ensino fundamental e médio. Para o estudo, foi escolhida a geometria do táxi, por ser de fácil compreensão e por possibilitar a ligação com outros conteúdos da educação básica, como por exemplo, o modelo de geografia urbana está diretamente relacionada ao cotidiano dos alunos. Como sugestões para a construção deste conceito foram elaboradas cinco atividades que levaram os alunos a explorar esta geometria, evidenciando as diferenças existentes entre a geometria euclidiana e a geometria do táxi, considerada não-euclidiana, por apresentar uma métrica diferenciada. Na última atividade, foi proposto um problema em que os alunos deveriam aplicar o conceito de circunferência do ponto de vista das duas geometrias para resolvê-lo. Apesar de ser algo novo para os alunos, pôde-se perceber um grande interesse, por fazer relação com seu cotidiano, além de ter um resultado satisfatório no que diz respeito ao resgate de conceitos da geometria euclidiana.AbstractThis paper presents a proposal for the insertion of non-Euclidean geometry in basic education, especially in mathematics classes in primary and secondary education. For the study, the taxicab geometry was chosen because it is easy to understand and because it allows the connection with other contents of basic education, for example, the model of urban geography is directly related to the students' daily life. As suggestions for the construction of this concept were elaborated five activities that led the students to explore this geometry, evidencing the differences between the Euclidean geometry and the taxicab geometry, considered non-Euclidean, to present a differentiated metric. In the last activity, a problem was proposed in which the students should apply the concept of circumference from the point of view of the two geometries to solve it. In spite of being something new for the students, it was possible to perceive a great interest, to make relation with their daily life, besides having a satisfactory result with respect to the rescue of concepts of Euclidean geometry.
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Greenspan, Neil. "Taxicab Geometry as a Vehicle for the Journey Toward Enlightenment." Humanistic Mathematics Network Journal 1, no. 27 (January 2004). http://dx.doi.org/10.5642/hmnj.200401.27.05.

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