The Projections of Convex Lattice Sets of Points in <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06569958pt" id="M1" height="15.3664pt" version="1.1" viewBox="-0.0657574 -15.3007 17.3744 15.3664" width="17.3744pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g197-16" d="M567 0V44H236V319H535V363H236V618H567V662H70V0H567ZM192 44H114V618H192V44Z"/></g><g transform="matrix(.012,0,0,-0.012,10.674,-7.578)"><path id="g50-51" d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"/></g></svg>

<div>Counterexample to Question <a href="https://static.hindawi.com/articles/mpe/volume-2016/7351861/figures/#ques1">1</a> in <svg height="11.6412pt" id="M34" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.5914 14.5325 11.6412" width="14.5325pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M677 618V662H100V618H469L50 44V0H668V44H252L677 618ZM617 618L200 44H103L523 618H617Z" id="g197-37"></path><glyph.data ascent="693" descent="-218" horiz-adv-x="727" vert-adv-y="727"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,9.451,-5.741)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> with cardinality 11.</div>

Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: The Projections of Convex Lattice Sets of Points in <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06569958pt" id="M1" height="15.3664pt" version="1.1" viewBox="-0.0657574 -15.3007 17.3744 15.3664" width="17.3744pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g197-16" d="M567 0V44H236V319H535V363H236V618H567V662H70V0H567ZM192 44H114V618H192V44Z"/></g><g transform="matrix(.012,0,0,-0.012,10.674,-7.578)"><path id="g50-51" d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"/></g></svg> 