It should be noted that the Tokarsky room is a borderline case, because Tokarsky (1995 left figure) constructed a 26-sided polygonal counterexample to (1) in the plane, which was subsequently improved to a 24-sided room (Castro 1997 rightįigure). Tokarsky (1995) showed that unilluminable polygonal rooms exist in the plane and three dimensions, but question (2) remains open in the case of polygonal rooms. Space within the blue border) can never be fully illuminated. Source is indicated by the black cross-hairs. In white, unilluminated regions are indicated in gray, and the position of the light In this figure, lit regions are indicated Three possible configurations of illumination. The ellipses and mushrooms are strategically placedĪs shown, with the red points being the foci of the half-ellipses. (which are in turn built up from straight line segments and smaller half-ellipses) Penrose's room, illustrated above,Ĭonsists of two half-ellipses at the top and bottom and two mushroom-shaped protuberances Regions, regardless of the position of the candle. In 1958, a young Roger Penrose used the properties of the ellipse to describe a room with curved walls that would always have dark (unilluminated) Here, illuminable means that there is a path from every point to every other by repeated reflections. Is every region illuminable from at least one point in the region? Is every region illuminable from every point in the region?Ģ. We encourage impacted families to take advantage of these services on behalf of their student.1.
#ILLUMINATE MATH CODE#
Impacted families will receive a written letter from Illuminate Education with a code to take advantage of this service, as well as additional information on this incident. Unfortunately, this breach is impacting many districts across Colorado and the entire nation.Īs a service to impacted families, Illuminate Education is offering 12 months complimentary identify protection services through IDX at no cost. The data did not include any data related to special education and did not include social security numbers.Īlthough Illuminate Education’s forensics investigators did submit a report to the Federal Bureau of Investigation, according to Illuminate Education, there was no evidence to suggest the student data had been or will be misused. The affected databases contained student names, date of birth, district identification numbers, educational plans and demographic information.
D11’s internal investigation as well as Illuminate Education’s forensic investigation into the incident determined that 32,226 students were impacted. Upon receiving notice of this security incident, we immediately undertook an internal investigation and worked with Illuminate Education to understand the incident’s scope and what students were impacted. Through our investigation, we learned that Illuminate Education, which District 11 utilized to house information about students to track their academic progress, suffered a data security incident between the dates of Decemand January 8, 2022, by which an unauthorized party accessed data that was maintained and stored in a tool that Illuminate Education utilizes to migrate data among their platforms. In a letter dated April 5, 2022, Colorado Springs School District 11 received notification from a district third-party vendor, Illuminate Education, that a data security incident that may have impacted a limited number of District 11 students’ personally identifiable information. School and District Performance Framework.Dual Language Immersion Program/El Programa de Dos Idiomas.Career Pathways at Odyssey Early College.Culturally and Linguistically Diverse Education.Approval Process for Instructional Materials & Courses.Wilson Elementary School, a CKH National Showcase School.Stratton Elementary, Gifted Magnet Program School.Queen Palmer Elementary School, a CKH National Showcase School.Odyssey Early College and Career Options.Monroe Elementary School, a Capturing Kids Hearts school.King Elementary School, a Capturing Kids Hearts school.Howbert Elementary School, an Outdoor Learning School.Buena Vista Elementary, A Public Montessori School.Bristol Elementary School, School of Arts.Adams Elementary School, A National Showcase School.
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